%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM459+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 02:24:32 PM UTC 2026
% Result : Theorem 18.79s 3.30s
% Output : CNFRefutation 18.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 88 ( 27 unt; 0 def)
% Number of atoms : 265 ( 93 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 315 ( 138 ~; 132 |; 31 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 101 !; 5 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__745) ).
fof(f22,conjecture,
( ( sdtlseqdt0(xn,xm)
& sdtlseqdt0(xm,xn) )
=> xm = xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ( ( sdtlseqdt0(xn,xm)
& sdtlseqdt0(xm,xn) )
=> xm = xn ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f25,plain,
( sdtlseqdt0(xn,xm)
& sdtlseqdt0(xm,xn)
& xm != xn ),
inference(ennf_transformation,[],[f23]) ).
fof(f26,plain,
( sdtlseqdt0(xn,xm)
& sdtlseqdt0(xm,xn)
& xm != xn ),
inference(flattening,[],[f25]) ).
fof(f28,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(flattening,[],[f32]) ).
fof(f36,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f41]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f55]) ).
fof(f57,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f21]) ).
fof(f58,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f21]) ).
fof(f59,plain,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f26]) ).
fof(f60,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
xm != xn,
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f64,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f82,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
tcf(c_49,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f58]) ).
tcf(c_50,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f57]) ).
tcf(c_51,negated_conjecture,
xm != xn,
inference(cnf_transformation,[],[f61]) ).
tcf(c_52,negated_conjecture,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f60]) ).
tcf(c_53,negated_conjecture,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f59]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_74,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f82]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( X1 != xn )
| ( X0 != xm ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_57]) ).
tcf(c_453,plain,
( ( sdtpldt0(xm,sK0(xm,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(unflattening,[status(thm)],[c_452]) ).
tcf(c_454,plain,
sdtpldt0(xm,sK0(xm,xn)) = xn,
inference(global_subsumption_just,[status(thm)],[c_453,c_50,c_49,c_453]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( X1 != xn )
| ( X0 != xm ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
tcf(c_460,plain,
( aNaturalNumber0(sK0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(unflattening,[status(thm)],[c_459]) ).
tcf(c_461,plain,
aNaturalNumber0(sK0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_460,c_50,c_49,c_460]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( X1 != xn )
| ( X0 != xm ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
tcf(c_467,plain,
( ( sdtpldt0(xn,sK0(xn,xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(unflattening,[status(thm)],[c_466]) ).
tcf(c_468,plain,
sdtpldt0(xn,sK0(xn,xm)) = xm,
inference(global_subsumption_just,[status(thm)],[c_467,c_50,c_49,c_467]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( X1 != xn )
| ( X0 != xm ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).
tcf(c_474,plain,
( aNaturalNumber0(sK0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(unflattening,[status(thm)],[c_473]) ).
tcf(c_475,plain,
aNaturalNumber0(sK0(xn,xm)),
inference(global_subsumption_just,[status(thm)],[c_474,c_50,c_49,c_474]) ).
tcf(c_10619,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_10721,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,xn),X0) = sdtpldt0(X0,sK0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_461,c_67]) ).
tcf(c_10991,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X1),X0) = sdtpldt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_66]) ).
tcf(c_11331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_10619,c_60]) ).
tcf(c_11360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11331,c_74,c_49]) ).
tcf(c_15400,plain,
sdtpldt0(sK0(xm,xn),sK0(xn,xm)) = sdtpldt0(sK0(xn,xm),sK0(xm,xn)),
inference(superposition,[status(thm)],[c_475,c_10721]) ).
tcf(c_17490,plain,
( ( sK0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xn,xm))
| ~ aNaturalNumber0(sK0(xm,xn))
| ( sdtpldt0(sK0(xm,xn),sK0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15400,c_59]) ).
tcf(c_17492,plain,
( aNaturalNumber0(sdtpldt0(sK0(xm,xn),sK0(xn,xm)))
| ~ aNaturalNumber0(sK0(xn,xm))
| ~ aNaturalNumber0(sK0(xm,xn)) ),
inference(superposition,[status(thm)],[c_15400,c_68]) ).
tcf(c_17497,plain,
aNaturalNumber0(sdtpldt0(sK0(xm,xn),sK0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_17492,c_475,c_461]) ).
tcf(c_17507,plain,
( ( sK0(xm,xn) = sz00 )
| ( sdtpldt0(sK0(xm,xn),sK0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17490,c_475,c_461]) ).
tcf(c_33647,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),sK0(xn,xm)) = sdtpldt0(xm,sdtpldt0(X0,sK0(xn,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_475,c_10991]) ).
tcf(c_41067,plain,
sdtpldt0(sdtpldt0(xm,sK0(xm,xn)),sK0(xn,xm)) = sdtpldt0(xm,sdtpldt0(sK0(xm,xn),sK0(xn,xm))),
inference(superposition,[status(thm)],[c_461,c_33647]) ).
tcf(c_41090,plain,
sdtpldt0(xm,sdtpldt0(sK0(xm,xn),sK0(xn,xm))) = xm,
inference(light_normalisation,[status(thm)],[c_41067,c_454,c_468]) ).
tcf(c_42463,plain,
( ( sdtpldt0(sK0(xm,xn),sK0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(sK0(xm,xn),sK0(xn,xm))) ),
inference(superposition,[status(thm)],[c_41090,c_11360]) ).
tcf(c_42464,plain,
sdtpldt0(sK0(xm,xn),sK0(xn,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42463,c_17497]) ).
tcf(c_42473,plain,
sK0(xm,xn) = sz00,
inference(backward_subsumption_resolution,[status(thm)],[c_17507,c_42464]) ).
tcf(c_42563,plain,
sdtpldt0(xm,sz00) = xn,
inference(demodulation,[status(thm)],[c_454,c_42473]) ).
tcf(c_42565,plain,
xm = xn,
inference(light_normalisation,[status(thm)],[c_42563,c_10619]) ).
tcf(c_42566,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_42565,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM459+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:04:21 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 18.79/3.30 % SZS status Started for theBenchmark.p
% 18.79/3.30 % SZS status Theorem for theBenchmark.p
% 18.79/3.30
% 18.79/3.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.79/3.30
% 18.79/3.30 % ------ iProver source info
% 18.79/3.30
% 18.79/3.30 % git: date: 2026-07-19 20:42:38 +0200
% 18.79/3.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.79/3.30 % git: non_committed_changes: false
% 18.79/3.30
% 18.79/3.30 % ------ Parsing...
% 18.79/3.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.79/3.30
% 18.79/3.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 18.79/3.30
% 18.79/3.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.79/3.30
% 18.79/3.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.79/3.30 % ------ Proving...
% 18.79/3.30 % ------ Problem Properties
% 18.79/3.30
% 18.79/3.30 %
% 18.79/3.30 % clauses 31
% 18.79/3.30 % conjectures 1
% 18.79/3.30 % EPR 4
% 18.79/3.30 % Horn 28
% 18.79/3.30 % unary 8
% 18.79/3.30 % binary 6
% 18.79/3.30 % lits 89
% 18.79/3.30 % lits eq 32
% 18.79/3.30 % fd_pure 0
% 18.79/3.30 % fd_pseudo 0
% 18.79/3.30 % fd_cond 3
% 18.79/3.30 % fd_pseudo_cond 4
% 18.79/3.30 % AC symbols 0
% 18.79/3.30
% 18.79/3.30 % ------ Schedule dynamic 5 is on
% 18.79/3.30
% 18.79/3.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.79/3.30
% 18.79/3.30
% 18.79/3.30 % ------
% 18.79/3.30 % Current options:
% 18.79/3.30 % ------
% 18.79/3.30
% 18.79/3.30
% 18.79/3.30 %
% 18.79/3.30
% 18.79/3.30 % ------ Proving...
% 18.79/3.30 %
% 18.79/3.30
% 18.79/3.30 % SZS status Theorem for theBenchmark.p
% 18.79/3.30
% 18.79/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.79/3.31
% 18.79/3.31
%------------------------------------------------------------------------------