%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS176+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:00:22 PM UTC 2026
% Result : Satisfiable 0.63s 0.82s
% Output : Saturation 0.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
=> ~ ? [I2] : model(I2,C) )
<=> status(Ax,C,unp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
=> ? [I2] : model(I2,C) )
<=> status(Ax,C,sap) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
<=> ? [I2] : model(I2,C) )
<=> status(Ax,C,esa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Ax,C] :
( ? [I1] :
( model(I1,C)
& model(I1,Ax) )
<=> status(Ax,C,sat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Ax,C] :
( ( ! [I2] :
( model(I2,Ax)
<=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,eqv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Ax,C] :
( ( ! [I2] : model(I2,C)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,tac) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Ax,C] :
( ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wec) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Ax,C] :
( ( ! [I3] :
( model(I3,Ax)
<=> model(I3,C) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,eth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,C)
& model(I1,Ax) )
<=> status(Ax,C,tau) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Ax,C] :
( ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Ax,C] :
( ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [Ax,C] :
( ~ ? [I1] : model(I1,Ax)
<=> status(Ax,C,cax) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Ax,C] :
( ( ? [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,sca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Ax,C] :
( ( ! [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,tca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Ax,C] :
( ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [Ax,C] :
( ? [I1] :
( model(I1,not(C))
& model(I1,Ax) )
<=> status(Ax,C,csa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Ax,C] :
( ( ! [I2] : model(I2,not(C))
& ! [I1] : model(I1,Ax) )
<=> status(Ax,C,uns) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [Ax,C] :
( ( ? [I2] :
( model(I2,not(C))
& model(I2,Ax) )
& ? [I1] :
( model(I1,C)
& model(I1,Ax) ) )
<=> status(Ax,C,noc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [Ax,C] :
( ( ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
<=> status(Ax,C,unp) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [Ax,C] :
( ( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
( ! [Ax,C] :
( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ! [Ax,C] :
( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
( ! [Ax,C] :
( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| model(sK1_skl(C,Ax),Ax) )
& ! [Ax,C] :
( status(Ax,C,unp)
| ( model(sK0_skl(C,Ax),C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(I2,sK0_skl(C,Ax)),skolemize(I1,sK1_skl(C,Ax))],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( status(X1,X2,unp)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( status(X1,X0,unp)
| model(sK0_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ status(X1,X0,unp)
| ~ model(X2,X0)
| model(sK1_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f27,plain,
! [Ax,C] :
( ( ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) )
<=> status(Ax,C,sap) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
! [Ax,C] :
( ( ~ status(Ax,C,sap)
| ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) )
& ( status(Ax,C,sap)
| ( ! [I2] : ~ model(I2,C)
& ? [I1] : model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [Ax,C] :
( ~ status(Ax,C,sap)
| ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) )
& ! [Ax,C] :
( status(Ax,C,sap)
| ( ! [I2] : ~ model(I2,C)
& ? [I1] : model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f30,plain,
( ! [Ax,C] :
( ~ status(Ax,C,sap)
| model(sK3_skl(C,Ax),C)
| ! [I1] : ~ model(I1,Ax) )
& ! [Ax,C] :
( status(Ax,C,sap)
| ( ! [I2] : ~ model(I2,C)
& model(sK2_skl(C,Ax),Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(I1,sK2_skl(C,Ax)),skolemize(I2,sK3_skl(C,Ax))],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( status(X1,X0,sap)
| model(sK2_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( status(X2,X1,sap)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,sap)
| model(sK3_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f34,plain,
! [Ax,C] :
( ( ~ status(Ax,C,esa)
| ( ( ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ) )
& ( status(Ax,C,esa)
| ( ( ? [I2] : model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( ! [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
( ! [Ax,C] :
( ~ status(Ax,C,esa)
| ( ( ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ) )
& ! [Ax,C] :
( status(Ax,C,esa)
| ( ( ? [I2] : model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( ! [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f36,plain,
( ! [Ax,C] :
( ~ status(Ax,C,esa)
| ( ( ! [I2] : ~ model(I2,C)
| model(sK7_skl(C,Ax),Ax) )
& ( model(sK6_skl(C,Ax),C)
| ! [I1] : ~ model(I1,Ax) ) ) )
& ! [Ax,C] :
( status(Ax,C,esa)
| ( ( model(sK5_skl(C,Ax),C)
| model(sK4_skl(C,Ax),Ax) )
& ( ! [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(I1,sK4_skl(C,Ax)),skolemize(I2,sK5_skl(C,Ax)),skolemize(I2,sK6_skl(C,Ax)),skolemize(I1,sK7_skl(C,Ax))],[f35]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| ~ model(X2,X3)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0)
| model(sK4_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,esa)
| model(sK6_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ status(X1,X0,esa)
| ~ model(X2,X0)
| model(sK7_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f41,plain,
! [Ax,C] :
( ( ~ status(Ax,C,sat)
| ? [I1] :
( model(I1,C)
& model(I1,Ax) ) )
& ( status(Ax,C,sat)
| ! [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( ! [Ax,C] :
( ~ status(Ax,C,sat)
| ? [I1] :
( model(I1,C)
& model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,sat)
| ! [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f43,plain,
( ! [Ax,C] :
( ~ status(Ax,C,sat)
| ( model(sK8_skl(C,Ax),C)
& model(sK8_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,sat)
| ! [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(I1,sK8_skl(C,Ax))],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( status(X1,X2,sat)
| ~ model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ status(X1,X0,sat)
| model(sK8_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f46,plain,
! [X0,X1] :
( ~ status(X1,X0,sat)
| model(sK8_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f47,plain,
! [Ax,C] :
( ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) )
<=> status(Ax,C,thm) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
! [Ax,C] :
( ( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
( ! [Ax,C] :
( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
( ! [Ax,C] :
( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,thm)
| ( ~ model(sK9_skl(C,Ax),C)
& model(sK9_skl(C,Ax),Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( status(X1,X0,thm)
| model(sK9_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,thm)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,plain,
! [Ax,C] :
( ( ~ status(Ax,C,eqv)
| ( ! [I2] :
( ( ~ model(I2,C)
| model(I2,Ax) )
& ( model(I2,C)
| ~ model(I2,Ax) ) )
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,eqv)
| ? [I2] :
( ( model(I2,C)
| model(I2,Ax) )
& ( ~ model(I2,C)
| ~ model(I2,Ax) ) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f55,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eqv)
| ( ! [I2] :
( ~ model(I2,C)
| model(I2,Ax) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eqv)
| ? [I2] :
( ( model(I2,C)
| model(I2,Ax) )
& ( ~ model(I2,C)
| ~ model(I2,Ax) ) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f56,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eqv)
| ( ! [I2] :
( ~ model(I2,C)
| model(I2,Ax) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& model(sK11_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eqv)
| ( ( model(sK10_skl(C,Ax),C)
| model(sK10_skl(C,Ax),Ax) )
& ( ~ model(sK10_skl(C,Ax),C)
| ~ model(sK10_skl(C,Ax),Ax) ) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(I2,sK10_skl(C,Ax)),skolemize(I1,sK11_skl(C,Ax))],[f55]) ).
fof(f57,plain,
! [X0,X1,X2] :
( status(X1,X2,eqv)
| ~ model(sK10_skl(X2,X1),X2)
| ~ model(sK10_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( status(X1,X2,eqv)
| model(sK10_skl(X2,X1),X2)
| model(sK10_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f59,plain,
! [X0,X1] :
( ~ status(X1,X0,eqv)
| model(sK11_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,eqv)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,eqv)
| ~ model(X0,X2)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f62,plain,
! [Ax,C] :
( ( ~ status(Ax,C,tac)
| ( ! [I2] : model(I2,C)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,tac)
| ? [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f63,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tac)
| ( ! [I2] : model(I2,C)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tac)
| ? [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f64,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tac)
| ( ! [I2] : model(I2,C)
& model(sK13_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tac)
| ~ model(sK12_skl(C,Ax),C)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(I2,sK12_skl(C,Ax)),skolemize(I1,sK13_skl(C,Ax))],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( status(X1,X2,tac)
| ~ model(sK12_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ status(X1,X0,tac)
| model(sK13_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,tac)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f68,plain,
! [Ax,C] :
( ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wec) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f69,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wec)
| ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wec)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wec)
| ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wec)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wec)
| ( ~ model(sK16_skl(C,Ax),Ax)
& model(sK16_skl(C,Ax),C)
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& model(sK15_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wec)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ( ~ model(sK14_skl(C,Ax),C)
& model(sK14_skl(C,Ax),Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(I2,sK14_skl(C,Ax)),skolemize(I1,sK15_skl(C,Ax)),skolemize(I3,sK16_skl(C,Ax))],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( status(X1,X2,wec)
| model(X3,X1)
| ~ model(X3,X2)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( status(X1,X2,wec)
| model(X3,X1)
| ~ model(X3,X2)
| ~ model(sK14_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f74,plain,
! [X0,X1] :
( ~ status(X1,X0,wec)
| model(sK15_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,wec)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f76,plain,
! [X0,X1] :
( ~ status(X1,X0,wec)
| model(sK16_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f77,plain,
! [X0,X1] :
( ~ status(X1,X0,wec)
| ~ model(sK16_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f78,plain,
! [Ax,C] :
( ( ~ status(Ax,C,eth)
| ( ! [I3] :
( ( ~ model(I3,C)
| model(I3,Ax) )
& ( model(I3,C)
| ~ model(I3,Ax) ) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,eth)
| ? [I3] :
( ( model(I3,C)
| model(I3,Ax) )
& ( ~ model(I3,C)
| ~ model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f79,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eth)
| ( ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
& ! [I3] :
( model(I3,C)
| ~ model(I3,Ax) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eth)
| ? [I3] :
( ( model(I3,C)
| model(I3,Ax) )
& ( ~ model(I3,C)
| ~ model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eth)
| ( ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
& ! [I3] :
( model(I3,C)
| ~ model(I3,Ax) )
& ~ model(sK19_skl(C,Ax),Ax)
& model(sK18_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eth)
| ( ( model(sK17_skl(C,Ax),C)
| model(sK17_skl(C,Ax),Ax) )
& ( ~ model(sK17_skl(C,Ax),C)
| ~ model(sK17_skl(C,Ax),Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl]),skolemize(I3,sK17_skl(C,Ax)),skolemize(I1,sK18_skl(C,Ax)),skolemize(I2,sK19_skl(C,Ax))],[f79]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,eth)
| ~ model(sK17_skl(X3,X1),X3)
| ~ model(sK17_skl(X3,X1),X1)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,eth)
| model(sK17_skl(X3,X1),X3)
| model(sK17_skl(X3,X1),X1)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
! [X0,X1] :
( ~ status(X1,X0,eth)
| model(sK18_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f84,plain,
! [X0,X1] :
( ~ status(X1,X0,eth)
| ~ model(sK19_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,eth)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,eth)
| ~ model(X0,X2)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f87,plain,
! [Ax,C] :
( ( ~ status(Ax,C,tau)
| ! [I1] :
( model(I1,C)
& model(I1,Ax) ) )
& ( status(Ax,C,tau)
| ? [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f88,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tau)
| ( ! [I1] : model(I1,C)
& ! [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tau)
| ? [I1] : ~ model(I1,C)
| ? [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f89,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tau)
| ( ! [I1] : model(I1,C)
& ! [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tau)
| ~ model(sK21_skl(C,Ax),C)
| ~ model(sK20_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(I1,sK20_skl(C,Ax)),skolemize(I1,sK21_skl(C,Ax))],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( status(X1,X0,tau)
| ~ model(sK21_skl(X0,X1),X0)
| ~ model(sK20_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,tau)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,tau)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f93,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f94,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ~ model(sK24_skl(C,Ax),Ax)
& model(sK23_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wtc)
| ~ model(sK22_skl(C,Ax),C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl]),skolemize(I3,sK22_skl(C,Ax)),skolemize(I1,sK23_skl(C,Ax)),skolemize(I2,sK24_skl(C,Ax))],[f94]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,wtc)
| ~ model(sK22_skl(X3,X1),X3)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ status(X1,X0,wtc)
| model(sK23_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f98,plain,
! [X0,X1] :
( ~ status(X1,X0,wtc)
| ~ model(sK24_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,wtc)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
! [Ax,C] :
( ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wth) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f101,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wth)
| ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wth)
| ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f103,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wth)
| ( ~ model(sK28_skl(C,Ax),C)
& ~ model(sK27_skl(C,Ax),Ax)
& model(sK27_skl(C,Ax),C)
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& model(sK26_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ( ~ model(sK25_skl(C,Ax),C)
& model(sK25_skl(C,Ax),Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(I2,sK25_skl(C,Ax)),skolemize(I1,sK26_skl(C,Ax)),skolemize(I3,sK27_skl(C,Ax)),skolemize(I4,sK28_skl(C,Ax))],[f102]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X2,wth)
| model(X4,X2)
| model(X3,X1)
| ~ model(X3,X2)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X2,wth)
| model(X4,X2)
| model(X3,X1)
| ~ model(X3,X2)
| ~ model(sK25_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f106,plain,
! [X0,X1] :
( ~ status(X1,X0,wth)
| model(sK26_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,wth)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f108,plain,
! [X0,X1] :
( ~ status(X1,X0,wth)
| model(sK27_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f109,plain,
! [X0,X1] :
( ~ status(X1,X0,wth)
| ~ model(sK27_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f110,plain,
! [X0,X1] :
( ~ status(X1,X0,wth)
| ~ model(sK28_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f111,plain,
! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
<=> status(Ax,C,cax) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f112,plain,
! [Ax,C] :
( ( ~ status(Ax,C,cax)
| ! [I1] : ~ model(I1,Ax) )
& ( status(Ax,C,cax)
| ? [I1] : model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
( ! [Ax] :
( ! [C] : ~ status(Ax,C,cax)
| ! [I1] : ~ model(I1,Ax) )
& ! [Ax] :
( ! [C] : status(Ax,C,cax)
| ? [I1] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f114,plain,
( ! [Ax] :
( ! [C] : ~ status(Ax,C,cax)
| ! [I1] : ~ model(I1,Ax) )
& ! [Ax] :
( ! [C] : status(Ax,C,cax)
| model(sK29_skl(Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(I1,sK29_skl(Ax))],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( status(X0,X1,cax)
| model(sK29_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,cax)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f117,plain,
! [Ax,C] :
( ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) )
<=> status(Ax,C,sca) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f118,plain,
! [Ax,C] :
( ( ~ status(Ax,C,sca)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ( status(Ax,C,sca)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
( ! [Ax,C] :
( ~ status(Ax,C,sca)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,sca)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
( ! [Ax,C] :
( ~ status(Ax,C,sca)
| ( model(sK31_skl(C,Ax),C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,sca)
| ! [I2] : ~ model(I2,C)
| model(sK30_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(I1,sK30_skl(C,Ax)),skolemize(I2,sK31_skl(C,Ax))],[f119]) ).
fof(f121,plain,
! [X0,X1,X2] :
( status(X1,X0,sca)
| ~ model(X2,X0)
| model(sK30_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,sca)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f123,plain,
! [X0,X1] :
( ~ status(X1,X0,sca)
| model(sK31_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f124,plain,
! [Ax,C] :
( ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) )
<=> status(Ax,C,tca) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f125,plain,
! [Ax,C] :
( ( ~ status(Ax,C,tca)
| ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ( status(Ax,C,tca)
| ? [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tca)
| ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tca)
| ? [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f127,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tca)
| ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tca)
| ~ model(sK33_skl(C,Ax),C)
| model(sK32_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl,sK33_skl]),skolemize(I1,sK32_skl(C,Ax)),skolemize(I2,sK33_skl(C,Ax))],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( status(X1,X0,tca)
| ~ model(sK33_skl(X0,X1),X0)
| model(sK32_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,tca)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,tca)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [Ax,C] :
( ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) )
<=> status(Ax,C,wca) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f132,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wca)
| ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ( status(Ax,C,wca)
| ! [I3] : model(I3,C)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wca)
| ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wca)
| ! [I3] : model(I3,C)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f132]) ).
fof(f134,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wca)
| ( ~ model(sK36_skl(C,Ax),C)
& model(sK35_skl(C,Ax),C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wca)
| ! [I3] : model(I3,C)
| ! [I2] : ~ model(I2,C)
| model(sK34_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl,sK35_skl,sK36_skl]),skolemize(I1,sK34_skl(C,Ax)),skolemize(I2,sK35_skl(C,Ax)),skolemize(I3,sK36_skl(C,Ax))],[f133]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( status(X1,X0,wca)
| model(X3,X0)
| ~ model(X2,X0)
| model(sK34_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,wca)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
! [X0,X1] :
( ~ status(X1,X0,wca)
| model(sK35_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
! [X0,X1] :
( ~ status(X1,X0,wca)
| ~ model(sK36_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
! [Ax,C] :
( ( ~ status(Ax,C,csa)
| ? [I1] :
( model(I1,not(C))
& model(I1,Ax) ) )
& ( status(Ax,C,csa)
| ! [I1] :
( ~ model(I1,not(C))
| ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f140,plain,
( ! [Ax,C] :
( ~ status(Ax,C,csa)
| ? [I1] :
( model(I1,not(C))
& model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,csa)
| ! [I1] :
( ~ model(I1,not(C))
| ~ model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f139]) ).
fof(f141,plain,
( ! [Ax,C] :
( ~ status(Ax,C,csa)
| ( model(sK37_skl(C,Ax),not(C))
& model(sK37_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,csa)
| ! [I1] :
( ~ model(I1,not(C))
| ~ model(I1,Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37_skl]),skolemize(I1,sK37_skl(C,Ax))],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( status(X1,X2,csa)
| ~ model(X0,not(X2))
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( ~ status(X1,X0,csa)
| model(sK37_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,plain,
! [X0,X1] :
( ~ status(X1,X0,csa)
| model(sK37_skl(X0,X1),not(X0)) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f145,plain,
! [Ax,C] :
( ( ~ status(Ax,C,uns)
| ( ! [I2] : model(I2,not(C))
& ! [I1] : model(I1,Ax) ) )
& ( status(Ax,C,uns)
| ? [I2] : ~ model(I2,not(C))
| ? [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f146,plain,
( ! [Ax,C] :
( ~ status(Ax,C,uns)
| ( ! [I2] : model(I2,not(C))
& ! [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,uns)
| ? [I2] : ~ model(I2,not(C))
| ? [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f145]) ).
fof(f147,plain,
( ! [Ax,C] :
( ~ status(Ax,C,uns)
| ( ! [I2] : model(I2,not(C))
& ! [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,uns)
| ~ model(sK39_skl(C,Ax),not(C))
| ~ model(sK38_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl]),skolemize(I1,sK38_skl(C,Ax)),skolemize(I2,sK39_skl(C,Ax))],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( status(X1,X0,uns)
| ~ model(sK39_skl(X0,X1),not(X0))
| ~ model(sK38_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,uns)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,uns)
| model(X0,not(X1)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f151,plain,
! [Ax,C] :
( ( ~ status(Ax,C,noc)
| ( ? [I2] :
( model(I2,not(C))
& model(I2,Ax) )
& ? [I1] :
( model(I1,C)
& model(I1,Ax) ) ) )
& ( status(Ax,C,noc)
| ! [I2] :
( ~ model(I2,not(C))
| ~ model(I2,Ax) )
| ! [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f152,plain,
( ! [Ax,C] :
( ~ status(Ax,C,noc)
| ( ? [I2] :
( model(I2,not(C))
& model(I2,Ax) )
& ? [I1] :
( model(I1,C)
& model(I1,Ax) ) ) )
& ! [Ax,C] :
( status(Ax,C,noc)
| ! [I2] :
( ~ model(I2,not(C))
| ~ model(I2,Ax) )
| ! [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f153,plain,
( ! [Ax,C] :
( ~ status(Ax,C,noc)
| ( model(sK41_skl(C,Ax),not(C))
& model(sK41_skl(C,Ax),Ax)
& model(sK40_skl(C,Ax),C)
& model(sK40_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,noc)
| ! [I2] :
( ~ model(I2,not(C))
| ~ model(I2,Ax) )
| ! [I1] :
( ~ model(I1,C)
| ~ model(I1,Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl,sK41_skl]),skolemize(I1,sK40_skl(C,Ax)),skolemize(I2,sK41_skl(C,Ax))],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( status(X1,X2,noc)
| ~ model(X3,not(X2))
| ~ model(X3,X1)
| ~ model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( ~ status(X1,X0,noc)
| model(sK40_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f156,plain,
! [X0,X1] :
( ~ status(X1,X0,noc)
| model(sK40_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f157,plain,
! [X0,X1] :
( ~ status(X1,X0,noc)
| model(sK41_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f158,plain,
! [X0,X1] :
( ~ status(X1,X0,noc)
| model(sK41_skl(X0,X1),not(X0)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f159,plain,
! [X0,X1,X2] :
( status(X2,X0,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f115,f32]) ).
fof(f160,plain,
! [X0,X1,X2] :
( status(X0,X2,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f115,f24]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X2)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f160,f26]) ).
fof(f162,plain,
! [X0,X1,X2] :
( status(X2,X1,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f25,f32]) ).
fof(f163,plain,
! [X0,X1,X2] :
( status(X1,X2,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f25,f24]) ).
fof(f165,plain,
! [X0,X1] :
( ~ model(X1,X0)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f163,f26]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X2)
| model(sK1_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f163,f26]) ).
fof(f168,plain,
! [X0] : status(X0,X0,unp),
inference(factoring,[status(thm)],[f163]) ).
fof(f169,plain,
! [X0,X1,X2] :
( status(X2,X0,sap)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f31,f32]) ).
fof(f170,plain,
! [X0,X1,X2] :
( status(X0,X2,unp)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f31,f24]) ).
fof(f171,plain,
! [X0] : status(X0,X0,sap),
inference(factoring,[status(thm)],[f169]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X2)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f170,f26]) ).
fof(f173,plain,
! [X0,X1,X2] :
( status(X2,X0,sap)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f51,f32]) ).
fof(f174,plain,
! [X0,X1,X2] :
( status(X0,X2,unp)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f51,f24]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X2)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f174,f26]) ).
fof(f176,plain,
! [X0,X1,X2] :
( status(X0,X2,thm)
| status(X1,X0,sca)
| model(sK30_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f121,f51]) ).
fof(f177,plain,
! [X0,X1,X2] :
( status(X0,X2,sap)
| status(X1,X0,sca)
| model(sK30_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f121,f31]) ).
fof(f178,plain,
! [X0,X1,X2] :
( status(X2,X0,unp)
| status(X1,X0,sca)
| model(sK30_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f121,f25]) ).
fof(f179,plain,
! [X0,X1,X2] :
( status(X0,X2,cax)
| status(X1,X0,sca)
| model(sK30_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f121,f115]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f161,f51]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f161,f31]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f161,f25]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f161,f115]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| model(sK1_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f167,f51]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| model(sK1_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f167,f31]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| model(sK1_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f167,f25]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| model(sK1_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f167,f115]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f172,f51]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f172,f31]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f172,f25]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,sap) ),
inference(resolution,[status(thm)],[f172,f115]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f175,f51]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f175,f31]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f175,f25]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| model(sK1_skl(X2,X0),X0)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f175,f115]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,thm)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f175]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,sap)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f172]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X3,X4,unp)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f167]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,cax)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f161]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sca)
| model(sK30_skl(X0,X3),X3)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f121]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sap)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f32]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( status(X0,X3,unp)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f176,f24]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X3)
| model(sK1_skl(X3,X0),X0)
| status(X1,X2,thm)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f202,f26]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,thm)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f175]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,sap)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f172]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X3,X4,unp)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f167]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,cax)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f161]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sca)
| model(sK30_skl(X0,X3),X3)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f121]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sap)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f32]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( status(X0,X3,unp)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f177,f24]) ).
fof(f211,plain,
! [X0,X1] :
( status(X1,X0,sap)
| status(X0,X1,sca) ),
inference(factoring,[status(thm)],[f209]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X3)
| model(sK1_skl(X3,X0),X0)
| status(X1,X2,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f210,f26]) ).
fof(f213,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X1,X2),X2)
| status(X2,X3,thm)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f175]) ).
fof(f214,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X1,X2),X2)
| status(X2,X3,sap)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f172]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X1,X3),X3)
| status(X2,X3,unp)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f167]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X1,X2),X2)
| status(X2,X3,cax)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f161]) ).
fof(f217,plain,
! [X0,X1,X2] :
( status(X2,X1,sca)
| model(sK30_skl(X1,X2),X2)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f121]) ).
fof(f218,plain,
! [X0,X1,X2] :
( status(X2,X1,sap)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f32]) ).
fof(f219,plain,
! [X0,X1,X2] :
( status(X1,X2,unp)
| status(X1,X0,esa)
| model(sK5_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f38,f24]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X2),X2)
| status(X2,X3,thm)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f175]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X2),X2)
| status(X2,X3,sap)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f172]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X3),X3)
| status(X2,X3,unp)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f167]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X2),X2)
| status(X2,X3,cax)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f161]) ).
fof(f224,plain,
! [X0,X1,X2] :
( status(X2,X0,sca)
| model(sK30_skl(X0,X2),X2)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f121]) ).
fof(f225,plain,
! [X0,X1,X2] :
( status(X2,X0,sap)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f32]) ).
fof(f226,plain,
! [X0,X1,X2] :
( status(X0,X2,unp)
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f38,f24]) ).
fof(f227,plain,
! [X0,X1,X2] :
( status(X2,X1,esa)
| model(sK4_skl(X1,X2),X2)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f38]) ).
fof(f228,plain,
! [X0,X1,X2] :
( status(X1,X2,esa)
| model(sK5_skl(X2,X1),X2)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f38]) ).
fof(f229,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| status(X1,X2,sca)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f177]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| status(X1,X2,sca)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f176]) ).
fof(f231,plain,
! [X0,X1,X2] :
( status(X1,X2,thm)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f51]) ).
fof(f232,plain,
! [X0,X1,X2] :
( status(X1,X2,sap)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f31]) ).
fof(f233,plain,
! [X0,X1,X2] :
( status(X2,X1,unp)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f25]) ).
fof(f234,plain,
! [X0,X1,X2] :
( status(X1,X2,cax)
| status(X1,X0,eqv)
| model(sK10_skl(X0,X1),X0)
| model(sK10_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f58,f115]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,esa)
| model(sK4_skl(X2,X3),X3)
| status(X1,X2,wec)
| model(sK5_skl(X2,X3),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f38]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,esa)
| model(sK5_skl(X3,X2),X3)
| status(X1,X2,wec)
| model(sK4_skl(X3,X2),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f38]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X2,X3,sca)
| status(X1,X2,wec)
| model(sK30_skl(X3,X2),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f177]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X2,X3,sca)
| status(X1,X2,wec)
| model(sK30_skl(X3,X2),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f176]) ).
fof(f239,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| status(X1,X2,wec)
| model(sK9_skl(X3,X2),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f51]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| status(X1,X2,wec)
| model(sK2_skl(X3,X2),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f31]) ).
fof(f241,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| status(X1,X2,wec)
| model(sK0_skl(X2,X3),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f25]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| status(X1,X2,wec)
| model(sK29_skl(X2),X1)
| model(sK14_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f72,f115]) ).
fof(f243,plain,
! [X0,X1] :
( ~ model(X1,X0)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f168,f26]) ).
fof(f246,plain,
! [X0,X1] :
( model(sK29_skl(X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f116,f115]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,unp)
| status(X2,X3,sap)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f122,f210]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sap)
| status(X2,X3,sap)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f122,f209]) ).
fof(f250,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,unp)
| status(X2,X3,thm)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f122,f202]) ).
fof(f251,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sap)
| status(X2,X3,thm)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f122,f201]) ).
fof(f252,definition,
! [X0,X1,X4] :
( sQ0_spl
<=> ( status(X1,X4,unp)
| ~ model(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f255,definition,
! [X2,X3] :
( sQ1_spl
<=> status(X2,X3,sap) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0,X1] :
( ~ sQ1_spl
| status(X0,X1,sap) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f247,f252,f255]) ).
fof(f259,definition,
! [X0,X1,X4] :
( sQ2_spl
<=> ( status(X4,X1,sap)
| ~ model(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f249,f259,f255]) ).
fof(f263,definition,
! [X2,X3] :
( sQ3_spl
<=> status(X2,X3,thm) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f264,plain,
! [X0,X1] :
( ~ sQ3_spl
| status(X0,X1,thm) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f250,f252,f263]) ).
fof(f267,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f251,f259,f263]) ).
fof(f268,plain,
! [X0,X1,X2] :
( status(X2,X1,esa)
| model(sK4_skl(X1,X2),X2)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f38]) ).
fof(f269,plain,
! [X0,X1,X2] :
( status(X1,X2,esa)
| model(sK5_skl(X2,X1),X2)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f38]) ).
fof(f270,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| status(X1,X2,sca)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f177]) ).
fof(f271,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| status(X1,X2,sca)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f176]) ).
fof(f272,plain,
! [X0,X1,X2] :
( status(X1,X2,thm)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f51]) ).
fof(f273,plain,
! [X0,X1,X2] :
( status(X1,X2,sap)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f31]) ).
fof(f274,plain,
! [X0,X1,X2] :
( status(X2,X1,unp)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f25]) ).
fof(f275,plain,
! [X0,X1,X2] :
( status(X1,X2,cax)
| ~ status(X1,X0,sap)
| model(sK3_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f33,f115]) ).
fof(f276,plain,
! [X0,X1,X2,X3] :
( ~ status(X0,X3,sap)
| model(sK3_skl(X3,X0),X3)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f33]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,wec)
| model(sK30_skl(X1,X0),X4)
| model(sK14_skl(X0,X4),X4)
| ~ model(X3,X4)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f72]) ).
fof(f278,plain,
! [X0,X1,X2,X3] :
( status(X0,X3,eqv)
| model(sK10_skl(X3,X0),X3)
| model(sK10_skl(X3,X0),X0)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f58]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,thm)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f175]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,sap)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f172]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X3,X4,unp)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f167]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,cax)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f161]) ).
fof(f283,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sca)
| model(sK30_skl(X0,X3),X3)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f121]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sap)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f32]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( status(X0,X3,unp)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f178,f24]) ).
fof(f287,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X3)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f284,f122]) ).
fof(f288,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X1)
| model(sK1_skl(X1,X3),X3)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f284,f26]) ).
fof(f289,definition,
! [X0,X1] :
( sQ4_spl
<=> status(X0,X1,unp) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f290,plain,
! [X0,X1] :
( ~ sQ4_spl
| status(X0,X1,unp) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f287,f289,f259]) ).
fof(f293,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X2)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f285,f122]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ~ model(X2,X1)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f285,f26]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X1)
| model(sK1_skl(X1,X3),X3)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f285,f26]) ).
fof(f296,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X3)
| model(sK1_skl(X3,X0),X0)
| status(X2,X1,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f285,f26]) ).
fof(f297,plain,
! [X0,X1] :
( status(X0,X1,unp)
| status(X0,X1,sca) ),
inference(factoring,[status(thm)],[f285]) ).
fof(f298,plain,
( sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f293,f289,f252]) ).
fof(f300,plain,
! [X0,X1,X2] :
( status(X2,X1,esa)
| model(sK4_skl(X1,X2),X2)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f38]) ).
fof(f301,plain,
! [X0,X1,X2] :
( status(X1,X2,esa)
| model(sK5_skl(X2,X1),X2)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f38]) ).
fof(f302,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| status(X1,X2,sca)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f178]) ).
fof(f303,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| status(X1,X2,sca)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f177]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| status(X1,X2,sca)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f176]) ).
fof(f305,plain,
! [X0,X1,X2] :
( status(X1,X2,thm)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f51]) ).
fof(f306,plain,
! [X0,X1,X2] :
( status(X1,X2,sap)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f31]) ).
fof(f307,plain,
! [X0,X1,X2] :
( status(X2,X1,unp)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f25]) ).
fof(f308,plain,
! [X0,X1,X2] :
( status(X1,X2,cax)
| model(sK1_skl(X1,X0),X0)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f294,f115]) ).
fof(f309,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X0,sca)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f294]) ).
fof(f310,plain,
! [X0,X1,X2,X3] :
( ~ status(X0,X3,sap)
| model(sK3_skl(X3,X0),X3)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f33]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,wec)
| model(sK30_skl(X1,X0),X4)
| model(sK14_skl(X0,X4),X4)
| ~ model(X3,X4)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f72]) ).
fof(f312,plain,
! [X0,X1,X2,X3] :
( status(X0,X3,eqv)
| model(sK10_skl(X3,X0),X3)
| model(sK10_skl(X3,X0),X0)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f58]) ).
fof(f313,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,thm)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f175]) ).
fof(f314,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,sap)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f172]) ).
fof(f315,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X3,X4,unp)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f167]) ).
fof(f316,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X3),X3)
| status(X3,X4,cax)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f161]) ).
fof(f317,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sca)
| model(sK30_skl(X0,X3),X3)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f121]) ).
fof(f318,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,sap)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f32]) ).
fof(f319,plain,
! [X0,X1,X2,X3] :
( status(X0,X3,unp)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f179,f24]) ).
fof(f321,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X3)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f318,f122]) ).
fof(f322,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X1)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f318,f116]) ).
fof(f323,definition,
! [X0,X1] :
( sQ5_spl
<=> status(X0,X1,cax) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f324,plain,
! [X0,X1] :
( ~ sQ5_spl
| status(X0,X1,cax) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ2_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f321,f323,f259]) ).
fof(f327,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f322,f38]) ).
fof(f328,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f322,f38]) ).
fof(f329,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f322,f179]) ).
fof(f330,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f322,f178]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f322,f177]) ).
fof(f332,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X2,X0,sap)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f322,f176]) ).
fof(f337,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X2)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f319,f122]) ).
fof(f338,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X1)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f319,f116]) ).
fof(f339,plain,
! [X0,X1,X2,X3,X4] :
( ~ model(X4,X3)
| model(sK1_skl(X3,X0),X0)
| status(X1,X2,cax)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f319,f26]) ).
fof(f340,plain,
( sQ0_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f337,f323,f252]) ).
fof(f341,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f338,f38]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f338,f38]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f338,f179]) ).
fof(f344,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f338,f178]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f338,f177]) ).
fof(f346,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X0,X2,unp)
| status(X0,X1,sca) ),
inference(resolution,[status(thm)],[f338,f176]) ).
fof(f351,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X1)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f180,f116]) ).
fof(f352,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X0,sca)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f338]) ).
fof(f353,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X0,sca)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f322]) ).
fof(f354,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X0,sca)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f294]) ).
fof(f355,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X0,X4,sap)
| model(sK3_skl(X4,X0),X4)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f33]) ).
fof(f356,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X0,wec)
| model(sK1_skl(X2,X0),X5)
| model(sK14_skl(X0,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f72]) ).
fof(f357,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,eqv)
| model(sK10_skl(X4,X0),X4)
| model(sK10_skl(X4,X0),X0)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f58]) ).
fof(f358,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f175]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f172]) ).
fof(f360,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X5),X5)
| status(X4,X5,unp)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f167]) ).
fof(f361,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,cax)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f161]) ).
fof(f362,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sca)
| model(sK30_skl(X0,X4),X4)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f121]) ).
fof(f363,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sap)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f32]) ).
fof(f364,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,unp)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f180,f24]) ).
fof(f365,definition,
! [X0,X1,X4,X5] :
( sQ6_spl
<=> ( status(X4,X5,unp)
| status(X4,X0,sca)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f352,f365,f263]) ).
fof(f369,definition,
! [X0,X1,X4,X5] :
( sQ7_spl
<=> ( status(X5,X4,sap)
| status(X4,X0,sca)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f353,f369,f263]) ).
fof(f373,definition,
! [X0,X1,X4] :
( sQ8_spl
<=> ( model(sK1_skl(X0,X4),X4)
| status(X4,X0,sca)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f354,f373,f263]) ).
fof(f377,definition,
! [X0,X1,X4] :
( sQ9_spl
<=> ( ~ status(X0,X4,sap)
| model(sK3_skl(X4,X0),X4)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f355,f377,f263]) ).
fof(f381,definition,
! [X0,X1,X4] :
( sQ10_spl
<=> ( status(X0,X4,eqv)
| model(sK10_skl(X4,X0),X4)
| model(sK10_skl(X4,X0),X0)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f357,f381,f263]) ).
fof(f385,definition,
! [X0,X1,X4,X5] :
( sQ11_spl
<=> ( model(sK1_skl(X0,X4),X4)
| status(X4,X5,thm)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f358,f385,f263]) ).
fof(f389,definition,
! [X0,X1,X4,X5] :
( sQ12_spl
<=> ( model(sK1_skl(X0,X4),X4)
| status(X4,X5,sap)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f359,f389,f263]) ).
fof(f393,definition,
! [X0,X1,X4,X5] :
( sQ13_spl
<=> ( model(sK1_skl(X0,X5),X5)
| status(X4,X5,unp)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f360,f393,f263]) ).
fof(f397,definition,
! [X0,X1,X4,X5] :
( sQ14_spl
<=> ( model(sK1_skl(X0,X4),X4)
| status(X4,X5,cax)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f361,f397,f263]) ).
fof(f401,definition,
! [X0,X1,X4] :
( sQ15_spl
<=> ( status(X4,X0,sca)
| model(sK30_skl(X0,X4),X4)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f362,f401,f263]) ).
fof(f405,definition,
! [X0,X1,X4] :
( sQ16_spl
<=> ( status(X4,X0,sap)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ3_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f363,f405,f263]) ).
fof(f409,definition,
! [X0,X1,X4] :
( sQ17_spl
<=> ( status(X0,X4,unp)
| status(X0,X1,cax) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ3_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f364,f409,f263]) ).
fof(f413,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| status(X1,X3,cax)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f180]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f38]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f38]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f179]) ).
fof(f417,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f178]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f177]) ).
fof(f419,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f176]) ).
fof(f420,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,thm)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f51]) ).
fof(f421,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,sap)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f31]) ).
fof(f422,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,unp)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f351,f25]) ).
fof(f424,definition,
! [X0,X1,X2,X3] :
( sQ18_spl
<=> ( status(X1,X3,cax)
| status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ3_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f413,f424,f263]) ).
fof(f428,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X1)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f181,f116]) ).
fof(f429,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| model(sK1_skl(X4,X0),X0)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f351]) ).
fof(f430,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X0,sca)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f338]) ).
fof(f431,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X0,sca)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f322]) ).
fof(f432,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X0,sca)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f294]) ).
fof(f433,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X0,X4,sap)
| model(sK3_skl(X4,X0),X4)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f33]) ).
fof(f434,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X0,wec)
| model(sK1_skl(X2,X0),X5)
| model(sK14_skl(X0,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f72]) ).
fof(f435,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,eqv)
| model(sK10_skl(X4,X0),X4)
| model(sK10_skl(X4,X0),X0)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f58]) ).
fof(f436,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f175]) ).
fof(f437,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f172]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X5),X5)
| status(X4,X5,unp)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f167]) ).
fof(f439,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,cax)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f161]) ).
fof(f440,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sca)
| model(sK30_skl(X0,X4),X4)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f121]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sap)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f32]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,unp)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f181,f24]) ).
fof(f443,plain,
( sQ1_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f429,f424,f255]) ).
fof(f444,plain,
( sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f430,f365,f255]) ).
fof(f445,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f431,f369,f255]) ).
fof(f446,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f432,f373,f255]) ).
fof(f447,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f433,f377,f255]) ).
fof(f448,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f435,f381,f255]) ).
fof(f449,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f436,f385,f255]) ).
fof(f450,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f437,f389,f255]) ).
fof(f451,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f438,f393,f255]) ).
fof(f452,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f439,f397,f255]) ).
fof(f453,plain,
( sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f440,f401,f255]) ).
fof(f454,plain,
( sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f441,f405,f255]) ).
fof(f455,plain,
( sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f442,f409,f255]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| status(X1,X3,cax)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f181]) ).
fof(f457,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| status(X1,X3,cax)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f180]) ).
fof(f458,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f38]) ).
fof(f459,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f38]) ).
fof(f460,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f179]) ).
fof(f461,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f178]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f177]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f176]) ).
fof(f464,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,thm)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f51]) ).
fof(f465,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,sap)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f31]) ).
fof(f466,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,unp)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f428,f25]) ).
fof(f468,definition,
! [X0,X1,X2,X3] :
( sQ19_spl
<=> ( status(X1,X3,cax)
| status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ1_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f456,f468,f255]) ).
fof(f472,plain,
( sQ3_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f457,f468,f263]) ).
fof(f473,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X1)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f182,f116]) ).
fof(f474,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| model(sK1_skl(X4,X0),X0)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f428]) ).
fof(f475,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| model(sK1_skl(X4,X0),X0)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f351]) ).
fof(f476,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X0,sca)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f338]) ).
fof(f477,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X0,sca)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f322]) ).
fof(f478,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X0,sca)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f294]) ).
fof(f479,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X0,X4,sap)
| model(sK3_skl(X4,X0),X4)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f33]) ).
fof(f480,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X0,wec)
| model(sK1_skl(X3,X0),X5)
| model(sK14_skl(X0,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f72]) ).
fof(f481,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,eqv)
| model(sK10_skl(X4,X0),X4)
| model(sK10_skl(X4,X0),X0)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f58]) ).
fof(f482,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f175]) ).
fof(f483,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f172]) ).
fof(f484,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X5),X5)
| status(X4,X5,unp)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f167]) ).
fof(f485,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,cax)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f161]) ).
fof(f486,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sca)
| model(sK30_skl(X0,X4),X4)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f121]) ).
fof(f487,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sap)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f32]) ).
fof(f488,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,unp)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f182,f24]) ).
fof(f490,plain,
( sQ4_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f474,f468,f289]) ).
fof(f491,plain,
( sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f475,f424,f289]) ).
fof(f492,plain,
( sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f476,f365,f289]) ).
fof(f493,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f477,f369,f289]) ).
fof(f494,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f478,f373,f289]) ).
fof(f495,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f479,f377,f289]) ).
fof(f496,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f481,f381,f289]) ).
fof(f497,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f482,f385,f289]) ).
fof(f498,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f483,f389,f289]) ).
fof(f499,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f484,f393,f289]) ).
fof(f500,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f485,f397,f289]) ).
fof(f501,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f486,f401,f289]) ).
fof(f502,plain,
( sQ4_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f487,f405,f289]) ).
fof(f503,plain,
( sQ4_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f488,f409,f289]) ).
fof(f504,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X1,X3,cax)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f182]) ).
fof(f505,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| status(X1,X3,cax)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f181]) ).
fof(f506,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| status(X1,X3,cax)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f180]) ).
fof(f507,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f38]) ).
fof(f508,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f38]) ).
fof(f509,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f179]) ).
fof(f510,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f178]) ).
fof(f511,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f177]) ).
fof(f512,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f176]) ).
fof(f513,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,thm)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f51]) ).
fof(f514,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,sap)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f31]) ).
fof(f515,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,unp)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f473,f25]) ).
fof(f517,definition,
! [X0,X1,X2,X3] :
( sQ20_spl
<=> ( status(X1,X3,cax)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( sQ4_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f504,f517,f289]) ).
fof(f521,plain,
( sQ1_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f505,f517,f255]) ).
fof(f522,plain,
( sQ3_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f506,f517,f263]) ).
fof(f523,plain,
! [X0,X1] :
( ~ model(X1,X0)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f183,f116]) ).
fof(f524,plain,
! [X0,X1,X2,X3] :
( ~ model(X3,X1)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f183,f116]) ).
fof(f525,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,unp)
| model(sK1_skl(X4,X0),X0)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f473]) ).
fof(f526,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| model(sK1_skl(X4,X0),X0)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f428]) ).
fof(f527,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| model(sK1_skl(X4,X0),X0)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f351]) ).
fof(f528,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X0,sca)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f338]) ).
fof(f529,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X0,sca)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f322]) ).
fof(f530,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X0,sca)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f294]) ).
fof(f531,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X0,X4,sap)
| model(sK3_skl(X4,X0),X4)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f33]) ).
fof(f532,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X0,wec)
| model(sK1_skl(X2,X0),X5)
| model(sK14_skl(X0,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f72]) ).
fof(f533,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,eqv)
| model(sK10_skl(X4,X0),X4)
| model(sK10_skl(X4,X0),X0)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f58]) ).
fof(f534,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f175]) ).
fof(f535,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f172]) ).
fof(f536,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X5),X5)
| status(X4,X5,unp)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f167]) ).
fof(f537,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X0,X4),X4)
| status(X4,X5,cax)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f161]) ).
fof(f538,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sca)
| model(sK30_skl(X0,X4),X4)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f121]) ).
fof(f539,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X0,sap)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f32]) ).
fof(f540,plain,
! [X0,X1,X2,X3,X4] :
( status(X0,X4,unp)
| status(X2,X3,cax)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f183,f24]) ).
fof(f542,plain,
! [X0,X1] :
( model(sK1_skl(X0,X0),X0)
| status(X0,X1,cax) ),
inference(factoring,[status(thm)],[f183]) ).
fof(f543,plain,
( sQ5_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f525,f517,f323]) ).
fof(f544,plain,
( sQ5_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f526,f468,f323]) ).
fof(f545,plain,
( sQ5_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f527,f424,f323]) ).
fof(f546,plain,
( sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f528,f365,f323]) ).
fof(f547,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f529,f369,f323]) ).
fof(f548,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f530,f373,f323]) ).
fof(f549,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f531,f377,f323]) ).
fof(f550,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f533,f381,f323]) ).
fof(f551,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f534,f385,f323]) ).
fof(f552,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f535,f389,f323]) ).
fof(f553,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f536,f393,f323]) ).
fof(f554,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f537,f397,f323]) ).
fof(f555,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f538,f401,f323]) ).
fof(f556,plain,
( sQ5_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f539,f405,f323]) ).
fof(f557,plain,
( sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f540,f409,f323]) ).
fof(f558,plain,
! [X0,X1] :
( ~ model(X1,X0)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f542,f116]) ).
fof(f564,plain,
! [X0,X1,X2] :
( model(sK1_skl(X0,X2),X2)
| status(X2,X0,sca)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f294]) ).
fof(f565,plain,
! [X0,X1,X2] :
( ~ status(X0,X2,sap)
| model(sK3_skl(X2,X0),X2)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f33]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( status(X3,X0,wec)
| model(sK1_skl(X0,X0),X3)
| model(sK14_skl(X0,X3),X3)
| ~ model(X2,X3)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f72]) ).
fof(f567,plain,
! [X0,X1,X2] :
( status(X0,X2,eqv)
| model(sK10_skl(X2,X0),X2)
| model(sK10_skl(X2,X0),X0)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f58]) ).
fof(f568,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X2),X2)
| status(X2,X3,thm)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f175]) ).
fof(f569,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X2),X2)
| status(X2,X3,sap)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f172]) ).
fof(f570,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X0,X3),X3)
| status(X2,X3,unp)
| status(X0,X1,cax) ),
inference(resolution,[status(thm)],[f542,f167]) ).
fof(f580,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f38]) ).
fof(f581,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f38]) ).
fof(f582,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f179]) ).
fof(f583,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f178]) ).
fof(f584,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f177]) ).
fof(f585,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f176]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,thm)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f51]) ).
fof(f587,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,sap)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f31]) ).
fof(f588,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,unp)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1) ),
inference(resolution,[status(thm)],[f524,f25]) ).
fof(f596,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,unp)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f473]) ).
fof(f597,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f428]) ).
fof(f598,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f351]) ).
fof(f599,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X1,sca)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f338]) ).
fof(f600,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X1,sca)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f322]) ).
fof(f601,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X1,sca)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f294]) ).
fof(f602,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X1,X4,sap)
| model(sK3_skl(X4,X1),X4)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f33]) ).
fof(f603,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X1,wec)
| model(sK1_skl(X2,X1),X5)
| model(sK14_skl(X1,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f72]) ).
fof(f604,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,eqv)
| model(sK10_skl(X4,X1),X4)
| model(sK10_skl(X4,X1),X1)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f58]) ).
fof(f605,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f175]) ).
fof(f606,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f172]) ).
fof(f609,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sca)
| model(sK30_skl(X1,X4),X4)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f121]) ).
fof(f610,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sap)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f32]) ).
fof(f611,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,unp)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f184,f24]) ).
fof(f613,definition,
! [X0,X1,X4,X5] :
( sQ21_spl
<=> ( status(X5,X4,unp)
| model(sK1_skl(X4,X1),X1)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( sQ3_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f596,f613,f263]) ).
fof(f617,definition,
! [X0,X1,X4,X5] :
( sQ22_spl
<=> ( status(X4,X5,sap)
| model(sK1_skl(X4,X1),X1)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( sQ3_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f597,f617,f263]) ).
fof(f621,definition,
! [X0,X1,X4,X5] :
( sQ23_spl
<=> ( status(X4,X5,thm)
| model(sK1_skl(X4,X1),X1)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( sQ3_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f598,f621,f263]) ).
fof(f625,definition,
! [X0,X1,X4,X5] :
( sQ24_spl
<=> ( status(X4,X5,unp)
| status(X4,X1,sca)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( sQ3_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f599,f625,f263]) ).
fof(f629,definition,
! [X0,X1,X4,X5] :
( sQ25_spl
<=> ( status(X5,X4,sap)
| status(X4,X1,sca)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( sQ3_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f600,f629,f263]) ).
fof(f633,definition,
! [X0,X1,X4] :
( sQ26_spl
<=> ( model(sK1_skl(X1,X4),X4)
| status(X4,X1,sca)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( sQ3_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f601,f633,f263]) ).
fof(f637,definition,
! [X0,X1,X4] :
( sQ27_spl
<=> ( ~ status(X1,X4,sap)
| model(sK3_skl(X4,X1),X4)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( sQ3_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f602,f637,f263]) ).
fof(f641,definition,
! [X0,X1,X4] :
( sQ28_spl
<=> ( status(X1,X4,eqv)
| model(sK10_skl(X4,X1),X4)
| model(sK10_skl(X4,X1),X1)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( sQ3_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f604,f641,f263]) ).
fof(f645,definition,
! [X0,X1,X4,X5] :
( sQ29_spl
<=> ( model(sK1_skl(X1,X4),X4)
| status(X4,X5,thm)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( sQ3_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f605,f645,f263]) ).
fof(f649,definition,
! [X0,X1,X4,X5] :
( sQ30_spl
<=> ( model(sK1_skl(X1,X4),X4)
| status(X4,X5,sap)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ3_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f606,f649,f263]) ).
fof(f655,definition,
! [X0,X1,X4] :
( sQ31_spl
<=> ( status(X4,X1,sca)
| model(sK30_skl(X1,X4),X4)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( sQ3_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f609,f655,f263]) ).
fof(f659,definition,
! [X0,X1,X4] :
( sQ32_spl
<=> ( status(X4,X1,sap)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ3_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f610,f659,f263]) ).
fof(f663,definition,
! [X0,X1,X4] :
( sQ33_spl
<=> ( status(X1,X4,unp)
| status(X0,X1,unp) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( sQ3_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f611,f663,f263]) ).
fof(f669,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,unp)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f473]) ).
fof(f670,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f428]) ).
fof(f671,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f351]) ).
fof(f672,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X1,sca)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f338]) ).
fof(f673,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X1,sca)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f322]) ).
fof(f674,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X1,sca)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f294]) ).
fof(f675,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X1,X4,sap)
| model(sK3_skl(X4,X1),X4)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f33]) ).
fof(f676,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X1,wec)
| model(sK1_skl(X2,X1),X5)
| model(sK14_skl(X1,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f72]) ).
fof(f677,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,eqv)
| model(sK10_skl(X4,X1),X4)
| model(sK10_skl(X4,X1),X1)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f58]) ).
fof(f678,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f175]) ).
fof(f679,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f172]) ).
fof(f682,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sca)
| model(sK30_skl(X1,X4),X4)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f121]) ).
fof(f683,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sap)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f32]) ).
fof(f684,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,unp)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f185,f24]) ).
fof(f686,plain,
( sQ1_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f669,f613,f255]) ).
fof(f687,plain,
( sQ1_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f670,f617,f255]) ).
fof(f688,plain,
( sQ1_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f671,f621,f255]) ).
fof(f689,plain,
( sQ1_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f672,f625,f255]) ).
fof(f690,plain,
( sQ1_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f673,f629,f255]) ).
fof(f691,plain,
( sQ1_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f674,f633,f255]) ).
fof(f692,plain,
( sQ1_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f675,f637,f255]) ).
fof(f693,plain,
( sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f677,f641,f255]) ).
fof(f694,plain,
( sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f678,f645,f255]) ).
fof(f695,plain,
( sQ1_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f679,f649,f255]) ).
fof(f698,plain,
( sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f682,f655,f255]) ).
fof(f699,plain,
( sQ1_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f683,f659,f255]) ).
fof(f700,plain,
( sQ1_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f684,f663,f255]) ).
fof(f701,plain,
! [X0,X1,X2] :
( ~ model(X2,X0)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f186,f26]) ).
fof(f704,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,unp)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f473]) ).
fof(f705,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f428]) ).
fof(f706,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| model(sK1_skl(X4,X1),X1)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f351]) ).
fof(f707,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X4,X1,sca)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f338]) ).
fof(f708,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X4,sap)
| status(X4,X1,sca)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f322]) ).
fof(f709,plain,
! [X0,X1,X2,X3,X4] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X1,sca)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f294]) ).
fof(f710,plain,
! [X0,X1,X2,X3,X4] :
( ~ status(X1,X4,sap)
| model(sK3_skl(X4,X1),X4)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f33]) ).
fof(f711,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X1,wec)
| model(sK1_skl(X3,X1),X5)
| model(sK14_skl(X1,X5),X5)
| ~ model(X4,X5)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f72]) ).
fof(f712,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,eqv)
| model(sK10_skl(X4,X1),X4)
| model(sK10_skl(X4,X1),X1)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f58]) ).
fof(f713,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X5,thm)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f175]) ).
fof(f714,plain,
! [X0,X1,X2,X3,X4,X5] :
( model(sK1_skl(X1,X4),X4)
| status(X4,X5,sap)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f172]) ).
fof(f717,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sca)
| model(sK30_skl(X1,X4),X4)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f121]) ).
fof(f718,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X1,sap)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f32]) ).
fof(f719,plain,
! [X0,X1,X2,X3,X4] :
( status(X1,X4,unp)
| status(X2,X3,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f186,f24]) ).
fof(f721,plain,
! [X0,X1] :
( model(sK1_skl(X1,X1),X1)
| status(X0,X1,unp) ),
inference(factoring,[status(thm)],[f186]) ).
fof(f723,plain,
( sQ4_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f704,f613,f289]) ).
fof(f724,plain,
( sQ4_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f705,f617,f289]) ).
fof(f725,plain,
( sQ4_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f706,f621,f289]) ).
fof(f726,plain,
( sQ4_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f707,f625,f289]) ).
fof(f727,plain,
( sQ4_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f708,f629,f289]) ).
fof(f728,plain,
( sQ4_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f709,f633,f289]) ).
fof(f729,plain,
( sQ4_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f710,f637,f289]) ).
fof(f730,plain,
( sQ4_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f712,f641,f289]) ).
fof(f731,plain,
( sQ4_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f713,f645,f289]) ).
fof(f732,plain,
( sQ4_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f714,f649,f289]) ).
fof(f735,plain,
( sQ4_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f717,f655,f289]) ).
fof(f736,plain,
( sQ4_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f718,f659,f289]) ).
fof(f737,plain,
( sQ4_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f719,f663,f289]) ).
fof(f738,plain,
! [X0,X1,X2] :
( ~ model(X2,X0)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f721,f26]) ).
fof(f739,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| model(sK1_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f524]) ).
fof(f745,plain,
! [X0,X1,X2] :
( model(sK1_skl(X1,X2),X2)
| status(X2,X1,sca)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f294]) ).
fof(f746,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,sap)
| model(sK3_skl(X2,X1),X2)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f33]) ).
fof(f747,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,wec)
| model(sK1_skl(X1,X1),X3)
| model(sK14_skl(X1,X3),X3)
| ~ model(X2,X3)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f72]) ).
fof(f748,plain,
! [X0,X1,X2] :
( status(X1,X2,eqv)
| model(sK10_skl(X2,X1),X2)
| model(sK10_skl(X2,X1),X1)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f58]) ).
fof(f749,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X1,X2),X2)
| status(X2,X3,thm)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f175]) ).
fof(f750,plain,
! [X0,X1,X2,X3] :
( model(sK1_skl(X1,X2),X2)
| status(X2,X3,sap)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f721,f172]) ).
fof(f757,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,unp)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f186]) ).
fof(f758,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f185]) ).
fof(f759,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f184]) ).
fof(f761,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f183]) ).
fof(f762,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,unp)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f182]) ).
fof(f763,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f181]) ).
fof(f764,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f180]) ).
fof(f765,plain,
! [X0,X1,X2] :
( status(X2,X0,esa)
| model(sK4_skl(X0,X2),X2)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f38]) ).
fof(f766,plain,
! [X0,X1,X2] :
( status(X0,X2,esa)
| model(sK5_skl(X2,X0),X2)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f38]) ).
fof(f767,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,cax)
| status(X0,X2,sca)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f179]) ).
fof(f768,plain,
! [X0,X1,X2,X3] :
( status(X3,X2,unp)
| status(X0,X2,sca)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f178]) ).
fof(f769,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,sap)
| status(X0,X2,sca)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f177]) ).
fof(f770,plain,
! [X0,X1,X2,X3] :
( status(X2,X3,thm)
| status(X0,X2,sca)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f176]) ).
fof(f771,plain,
! [X0,X1,X2] :
( status(X0,X2,thm)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f51]) ).
fof(f772,plain,
! [X0,X1,X2] :
( status(X0,X2,sap)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ),
inference(resolution,[status(thm)],[f701,f31]) ).
fof(f775,definition,
! [X0,X1,X2] :
( sQ34_spl
<=> ( status(X2,X0,unp)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( sQ4_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f757,f775,f289]) ).
fof(f779,plain,
( sQ1_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f758,f775,f255]) ).
fof(f780,plain,
( sQ3_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f759,f775,f263]) ).
fof(f781,definition,
! [X0,X1,X2] :
( sQ35_spl
<=> ( status(X0,X2,cax)
| model(sK1_skl(X0,X1),X1)
| model(sK1_skl(X0,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( sQ5_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f761,f781,f323]) ).
fof(f785,plain,
( sQ4_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f762,f781,f289]) ).
fof(f786,plain,
( sQ1_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f763,f781,f255]) ).
fof(f787,plain,
( sQ3_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f764,f781,f263]) ).
fof(f788,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,unp)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f721]) ).
fof(f789,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X3,X1,unp)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f186]) ).
fof(f790,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| status(X3,X1,unp)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f185]) ).
fof(f791,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| status(X3,X1,unp)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f184]) ).
fof(f792,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f542]) ).
fof(f793,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,cax)
| status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f183]) ).
fof(f794,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,unp)
| status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f182]) ).
fof(f795,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,sap)
| status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f181]) ).
fof(f796,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X4,X5,thm)
| status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f180]) ).
fof(f797,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,esa)
| model(sK4_skl(X1,X3),X3)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f38]) ).
fof(f798,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,esa)
| model(sK5_skl(X3,X1),X3)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f38]) ).
fof(f799,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,cax)
| status(X1,X3,sca)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f179]) ).
fof(f800,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X3,unp)
| status(X1,X3,sca)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f178]) ).
fof(f801,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,sap)
| status(X1,X3,sca)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f177]) ).
fof(f802,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X4,thm)
| status(X1,X3,sca)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f176]) ).
fof(f803,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,thm)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f51]) ).
fof(f804,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,sap)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f31]) ).
fof(f805,plain,
! [X0,X1,X2,X3] :
( status(X3,X1,unp)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f25]) ).
fof(f806,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f82,f115]) ).
fof(f807,definition,
! [X0,X1,X2,X3] :
( sQ36_spl
<=> ( status(X3,X1,unp)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( sQ4_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f789,f807,f289]) ).
fof(f811,plain,
( sQ1_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f790,f807,f255]) ).
fof(f812,plain,
( sQ3_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f791,f807,f263]) ).
fof(f813,definition,
! [X0,X1,X2,X3] :
( sQ37_spl
<=> ( status(X1,X3,cax)
| status(X1,X2,eth)
| model(sK17_skl(X2,X1),X2)
| model(sK17_skl(X2,X1),X1)
| model(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( sQ5_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f793,f813,f323]) ).
fof(f817,plain,
( sQ4_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f794,f813,f289]) ).
fof(f818,plain,
( sQ1_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f795,f813,f255]) ).
fof(f819,plain,
( sQ3_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f796,f813,f263]) ).
fof(f820,plain,
! [X0,X1,X2,X3,X4] :
( status(X4,X2,unp)
| status(X1,X2,wth)
| model(X3,X2)
| model(sK1_skl(X2,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f721]) ).
fof(f821,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X6,X3,unp)
| status(X5,X2,unp)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f186]) ).
fof(f822,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X3,X6,sap)
| status(X5,X2,unp)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f185]) ).
fof(f823,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X3,X6,thm)
| status(X5,X2,unp)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f184]) ).
fof(f824,plain,
! [X0,X1,X2,X3,X4] :
( status(X2,X4,cax)
| status(X1,X2,wth)
| model(X3,X2)
| model(sK1_skl(X2,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f542]) ).
fof(f825,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X3,X6,cax)
| status(X2,X5,cax)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f183]) ).
fof(f826,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X6,X3,unp)
| status(X2,X5,cax)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f182]) ).
fof(f827,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X3,X6,sap)
| status(X2,X5,cax)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f181]) ).
fof(f828,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( status(X3,X6,thm)
| status(X2,X5,cax)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK1_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f180]) ).
fof(f829,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X2,esa)
| model(sK4_skl(X2,X3),X3)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK5_skl(X2,X3),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f38]) ).
fof(f830,plain,
! [X0,X1,X2,X3,X4] :
( status(X2,X3,esa)
| model(sK5_skl(X3,X2),X3)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK4_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f38]) ).
fof(f831,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X3,X5,cax)
| status(X2,X3,sca)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK30_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f179]) ).
fof(f832,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X5,X3,unp)
| status(X2,X3,sca)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK30_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f178]) ).
fof(f833,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X3,X5,sap)
| status(X2,X3,sca)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK30_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f177]) ).
fof(f834,plain,
! [X0,X1,X2,X3,X4,X5] :
( status(X3,X5,thm)
| status(X2,X3,sca)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK30_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f176]) ).
fof(f835,plain,
! [X0,X1,X2,X3,X4] :
( status(X2,X3,thm)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK9_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f51]) ).
fof(f836,plain,
! [X0,X1,X2,X3,X4] :
( status(X2,X3,sap)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK2_skl(X3,X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f31]) ).
fof(f837,plain,
! [X0,X1,X2,X3,X4] :
( status(X3,X2,unp)
| status(X1,X2,wth)
| model(X4,X2)
| model(sK0_skl(X2,X3),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f25]) ).
fof(f838,plain,
! [X0,X1,X2,X3,X4] :
( status(X2,X4,cax)
| status(X1,X2,wth)
| model(X3,X2)
| model(sK29_skl(X2),X1)
| model(sK25_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f104,f115]) ).
fof(f839,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| model(sK3_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f33,f256]) ).
fof(f840,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ model(X2,X0)
| model(sK1_skl(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f26,f290]) ).
fof(f841,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ model(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f116,f324]) ).
fof(f842,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,tca) ),
inference(backward_subsumption_resolution,[status(thm)],[f130,f841]) ).
fof(f843,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,wtc) ),
inference(backward_subsumption_resolution,[status(thm)],[f99,f841]) ).
fof(f844,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,tau) ),
inference(backward_subsumption_resolution,[status(thm)],[f92,f841]) ).
fof(f846,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,tac) ),
inference(backward_subsumption_resolution,[status(thm)],[f67,f841]) ).
fof(f847,plain,
! [X0,X1] :
( ~ sQ5_spl
| status(X1,X0,esa)
| model(sK4_skl(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f38,f841]) ).
fof(f848,plain,
! [X0,X1] :
( ~ sQ5_spl
| status(X0,X1,esa) ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f841]) ).
fof(f851,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,uns) ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f841]) ).
fof(f852,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,sat) ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f841]) ).
fof(f853,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,eqv) ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f841]) ).
fof(f854,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,wec) ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f841]) ).
fof(f855,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,eth) ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f841]) ).
fof(f856,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,wth) ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f841]) ).
fof(f857,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,sca) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f841]) ).
fof(f858,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,wca) ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f841]) ).
fof(f859,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,csa) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f841]) ).
fof(f860,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ status(X0,X1,noc) ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f841]) ).
fof(model,axiom,
( sQ1_spl
| sQ3_spl
| sQ4_spl
| sQ5_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS176+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 23:00:57 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.63/0.82 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.63/0.82 % SZS output start Saturation for theBenchmark
% See solution above
% 0.63/0.85 % Elapsed time: 0.499736 seconds
% 0.63/0.85 % CPU time: 3.548044 seconds
% 0.63/0.85 % Total memory used: 17.596 MB
% 0.63/0.85 % Net memory used: 14.766 MB
%------------------------------------------------------------------------------