%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM013+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 : n018.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 01:04:18 PM UTC 2026
% Result : Theorem 3.29s 1.28s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f121ERROR: Could not build tree for root c_5668ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X0,X1,X2) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermin) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f14,axiom,
( isTerminating0(xR)
& aRewritingSystem0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__587) ).
fof(f15,conjecture,
! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) )
=> ? [X1] : aNormalFormOfIn0(X1,X0,xR) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) )
=> ? [X1] : aNormalFormOfIn0(X1,X0,xR) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f21,plain,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) )
=> ? [X3] : aNormalFormOfIn0(X3,X0,xR) ) ),
inference(rectify,[],[f16]) ).
fof(f22,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) ) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
inference(flattening,[],[f24]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X3) ),
inference(flattening,[],[f30]) ).
fof(f36,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ( isTerminating0(X0)
<=> ! [X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| iLess0(X2,X1) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f37,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ( isTerminating0(X0)
<=> ! [X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| iLess0(X2,X1) ) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
? [X0] :
( aElement0(X0)
& ! [X1] :
( ~ aElement0(X1)
| ~ iLess0(X1,X0)
| ? [X2] : aNormalFormOfIn0(X2,X1,xR) )
& ! [X3] : ~ aNormalFormOfIn0(X3,X0,xR) ),
inference(ennf_transformation,[],[f21]) ).
fof(f41,plain,
? [X0] :
( aElement0(X0)
& ! [X1] :
( ~ aElement0(X1)
| ~ iLess0(X1,X0)
| ? [X2] : aNormalFormOfIn0(X2,X1,xR) )
& ! [X3] : ~ aNormalFormOfIn0(X3,X0,xR) ),
inference(flattening,[],[f40]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
| ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) )
& ( ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) )
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
| ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) )
& ( ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) )
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
| ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
| aReductOfIn0(X2,X0,X1) )
& ( ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) )
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
| ( sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) )
| aReductOfIn0(X2,X0,X1) )
& ( ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) )
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( ( ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 )
& ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 )
| sdtmndtasgtdt0(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( ( ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 )
& ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 )
| sdtmndtasgtdt0(X0,X1,X2) ) ) ),
inference(flattening,[],[f52]) ).
fof(f62,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ( ( ~ isTerminating0(X0)
| ! [X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| iLess0(X2,X1) ) )
& ( ? [X1,X2] :
( aElement0(X2)
& aElement0(X1)
& sdtmndtplgtdt0(X1,X0,X2)
& ~ iLess0(X2,X1) )
| isTerminating0(X0) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ( ( ~ isTerminating0(X0)
| ! [X3,X4] :
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3) ) )
& ( ? [X1,X2] :
( aElement0(X2)
& aElement0(X1)
& sdtmndtplgtdt0(X1,X0,X2)
& ~ iLess0(X2,X1) )
| isTerminating0(X0) ) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ( ( ~ isTerminating0(X0)
| ! [X3,X4] :
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3) ) )
& ( ( aElement0(sK14(X0))
& aElement0(sK13(X0))
& sdtmndtplgtdt0(sK13(X0),X0,sK14(X0))
& ~ iLess0(sK14(X0),sK13(X0)) )
| isTerminating0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aNormalFormOfIn0(X2,X0,X1)
| ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
& ( ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aNormalFormOfIn0(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aNormalFormOfIn0(X2,X0,X1)
| ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
& ( ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aNormalFormOfIn0(X2,X0,X1) ) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aNormalFormOfIn0(X2,X0,X1)
| ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
& ( ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aNormalFormOfIn0(X2,X0,X1) ) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aNormalFormOfIn0(X2,X0,X1)
| ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
& ( aReductOfIn0(sK15(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aNormalFormOfIn0(X2,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X1,X2))],[f67]) ).
fof(f69,plain,
? [X0] :
( aElement0(X0)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,X0)
| ? [X3] : aNormalFormOfIn0(X3,X2,xR) )
& ! [X1] : ~ aNormalFormOfIn0(X1,X0,xR) ),
inference(rectify,[],[f41]) ).
fof(f70,plain,
( aElement0(sK16)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,sK16)
| aNormalFormOfIn0(sK17(X2),X2,xR) )
& ! [X1] : ~ aNormalFormOfIn0(X1,sK16,xR) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X3,sK17(X2))],[f69]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f106,plain,
! [X3,X0,X4] :
( ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f111,plain,
! [X2,X0,X1,X4] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aReductOfIn0(X4,X2,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| aReductOfIn0(sK15(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aNormalFormOfIn0(X2,X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f115,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f14]) ).
fof(f116,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f14]) ).
fof(f117,plain,
aElement0(sK16),
inference(cnf_transformation,[],[f70]) ).
fof(f118,plain,
! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,sK16)
| aNormalFormOfIn0(sK17(X2),X2,xR) ),
inference(cnf_transformation,[],[f70]) ).
fof(f119,plain,
! [X1] : ~ aNormalFormOfIn0(X1,sK16,xR),
inference(cnf_transformation,[],[f70]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aReductOfIn0(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtplgtdt0(X1,X2,X0)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X0,X1,X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtmndtasgtdt0(X3,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X3,X1,X0)
| ~ sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(X2,X0)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK15(X1,X2),X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aNormalFormOfIn0(X0,X1,X2) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtasgtdt0(X1,X2,X0)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aNormalFormOfIn0(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aNormalFormOfIn0(X1,X3,X2)
| ~ aReductOfIn0(X0,X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_93,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f116]) ).
tcf(c_94,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f115]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] : ~ aNormalFormOfIn0(X0,sK16,xR),
inference(cnf_transformation,[],[f119]) ).
tcf(c_96,negated_conjecture,
! [X0: $i] :
( aNormalFormOfIn0(sK17(X0),X0,xR)
| ~ aElement0(X0)
| ~ iLess0(X0,sK16) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_97,negated_conjecture,
aElement0(sK16),
inference(cnf_transformation,[],[f117]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtplgtdt0(X1,X2,X0)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aReductOfIn0(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_49,c_50]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aNormalFormOfIn0(sK17(X2),X2,xR)
| ~ isTerminating0(X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X3,X1)
| ( X1 != X2 )
| ( X0 != sK16 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_96]) ).
tcf(c_916,plain,
! [X0: $i,X1: $i] :
( aNormalFormOfIn0(sK17(X1),X1,xR)
| ~ aElement0(sK16)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(unflattening,[status(thm)],[c_915]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i] :
( aNormalFormOfIn0(sK17(X1),X1,xR)
| ~ sdtmndtplgtdt0(sK16,X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_916,c_97,c_916]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i] :
( aNormalFormOfIn0(sK17(X1),X1,xR)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(renaming,[status(thm)],[c_918]) ).
tcf(c_950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtmndtasgtdt0(X2,X3,X1)
| ~ isTerminating0(X4)
| ~ aRewritingSystem0(X4)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK16,X4,X0)
| ( X3 != xR )
| ( X0 != X2 )
| ( sK17(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_91,c_919]) ).
tcf(c_951,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X1,xR,sK17(X1))
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(unflattening,[status(thm)],[c_950]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X1,xR,sK17(X1))
| ~ sdtmndtplgtdt0(sK16,X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_951,c_93,c_951]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X1,xR,sK17(X1))
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(renaming,[status(thm)],[c_953]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElement0(X1)
| ~ isTerminating0(X4)
| ~ aRewritingSystem0(X4)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK16,X4,X0)
| ( X3 != xR )
| ( X0 != X2 )
| ( sK17(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_919]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i] :
( aElement0(sK17(X1))
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(unflattening,[status(thm)],[c_970]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i] :
( aElement0(sK17(X1))
| ~ sdtmndtplgtdt0(sK16,X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_971,c_93,c_971]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] :
( aElement0(sK17(X1))
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(renaming,[status(thm)],[c_973]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aReductOfIn0(sK15(X1,X2),X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ( X2 != X3 )
| ( X1 != xR )
| ( X0 != sK16 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_95]) ).
tcf(c_1012,plain,
! [X0: $i] :
( aReductOfIn0(sK15(xR,X0),X0,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(unflattening,[status(thm)],[c_1011]) ).
tcf(c_1014,plain,
! [X0: $i] :
( aReductOfIn0(sK15(xR,X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1012,c_97,c_93,c_1012]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ isTerminating0(X5)
| ~ aRewritingSystem0(X5)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK16,X5,X0)
| ~ aReductOfIn0(X4,X1,X2)
| ( X2 != xR )
| ( X0 != X3 )
| ( sK17(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_92,c_919]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ aRewritingSystem0(xR)
| ~ isTerminating0(X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X2,X1)
| ~ aReductOfIn0(X0,sK17(X1),xR) ),
inference(unflattening,[status(thm)],[c_1026]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ aReductOfIn0(X0,sK17(X1),xR)
| ~ sdtmndtplgtdt0(sK16,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ isTerminating0(X2) ),
inference(global_subsumption_just,[status(thm)],[c_1027,c_93,c_1027]) ).
tcf(c_1030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ isTerminating0(X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X2,X1)
| ~ aReductOfIn0(X0,sK17(X1),xR) ),
inference(renaming,[status(thm)],[c_1029]) ).
tcf(c_4067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ isTerminating0(X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X2,X1)
| ~ aReductOfIn0(X0,sK17(X1),xR) ),
inference(demodulation,[status(thm)],[c_1030]) ).
tcf(c_4068,plain,
! [X0: $i] :
( aReductOfIn0(sK15(xR,X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(demodulation,[status(thm)],[c_1014]) ).
tcf(c_4069,plain,
! [X0: $i,X1: $i] :
( aElement0(sK17(X1))
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(demodulation,[status(thm)],[c_974]) ).
tcf(c_4070,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X1,xR,sK17(X1))
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK16,X0,X1) ),
inference(demodulation,[status(thm)],[c_954]) ).
tcf(c_4071,negated_conjecture,
aElement0(sK16),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_4938,plain,
! [X0: $i,X1: $i] :
( ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(sK17(X0))
| ~ sdtmndtplgtdt0(sK16,X1,X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK17(X0)) ),
inference(superposition,[status(thm)],[c_4068,c_4067]) ).
tcf(c_4952,plain,
! [X0: $i,X1: $i] :
( ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK16,X1,X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK17(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4938,c_4069]) ).
tcf(c_4976,plain,
! [X0: $i] :
( aElement0(sK15(xR,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(superposition,[status(thm)],[c_4068,c_49]) ).
tcf(c_4977,plain,
! [X0: $i] :
( aElement0(sK15(xR,X0))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4976,c_93]) ).
tcf(c_5048,plain,
( aElement0(sK15(xR,sK16))
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK16) ),
inference(superposition,[status(thm)],[c_56,c_4977]) ).
tcf(c_5049,plain,
aElement0(sK15(xR,sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_5048,c_93,c_4071]) ).
tcf(c_5078,plain,
! [X0: $i] :
( sdtmndtplgtdt0(X0,xR,sK15(xR,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(superposition,[status(thm)],[c_4068,c_131]) ).
tcf(c_5087,plain,
! [X0: $i] :
( sdtmndtplgtdt0(X0,xR,sK15(xR,X0))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5078,c_93]) ).
tcf(c_5128,plain,
( sdtmndtasgtdt0(sK15(xR,sK16),xR,sK17(sK15(xR,sK16)))
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK16)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ aElement0(sK15(xR,sK16)) ),
inference(superposition,[status(thm)],[c_5087,c_4070]) ).
tcf(c_5129,plain,
( aElement0(sK17(sK15(xR,sK16)))
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK16)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ aElement0(sK15(xR,sK16)) ),
inference(superposition,[status(thm)],[c_5087,c_4069]) ).
tcf(c_5130,plain,
( aElement0(sK17(sK15(xR,sK16)))
| ~ sdtmndtasgtdt0(sK16,xR,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5129,c_94,c_93,c_4071,c_5049]) ).
tcf(c_5133,plain,
( sdtmndtasgtdt0(sK15(xR,sK16),xR,sK17(sK15(xR,sK16)))
| ~ sdtmndtasgtdt0(sK16,xR,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5128,c_94,c_93,c_4071,c_5049]) ).
tcf(c_5193,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK15(xR,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aElement0(sK15(xR,X0)) ),
inference(superposition,[status(thm)],[c_5087,c_57]) ).
tcf(c_5209,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK15(xR,X0))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aElement0(sK15(xR,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5193,c_93]) ).
tcf(c_5217,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK15(xR,X0))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5209,c_4977,c_5209]) ).
tcf(c_5438,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK17(sK15(xR,sK16)))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ aElement0(sK15(xR,sK16))
| ~ aElement0(sK17(sK15(xR,sK16)))
| ~ sdtmndtasgtdt0(X0,xR,sK15(xR,sK16)) ),
inference(superposition,[status(thm)],[c_5133,c_59]) ).
tcf(c_5461,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK17(sK15(xR,sK16)))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ aElement0(sK17(sK15(xR,sK16)))
| ~ sdtmndtasgtdt0(X0,xR,sK15(xR,sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5438,c_93,c_5049]) ).
tcf(c_5563,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK17(sK15(xR,sK16)))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ sdtmndtasgtdt0(X0,xR,sK15(xR,sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_5461,c_5130,c_5461]) ).
tcf(c_5579,plain,
! [X0: $i] :
( ~ aElement0(sK16)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ aElement0(sK15(xR,sK16))
| ~ sdtmndtasgtdt0(sK16,xR,sK15(xR,sK16))
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16)) ),
inference(superposition,[status(thm)],[c_5563,c_4952]) ).
tcf(c_5585,plain,
! [X0: $i] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ sdtmndtasgtdt0(sK16,xR,sK15(xR,sK16))
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5579,c_4071,c_5049]) ).
tcf(c_5621,plain,
! [X0: $i] :
( sdtmndtasgtdt0(sK16,X0,sK16)
| ~ aElement0(sK16)
| ~ aRewritingSystem0(X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5622,plain,
( sdtmndtasgtdt0(sK16,xR,sK16)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK16) ),
inference(instantiation,[status(thm)],[c_5621]) ).
tcf(c_5637,plain,
! [X0: $i] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16))
| ~ sdtmndtasgtdt0(sK16,xR,sK15(xR,sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_5585,c_97,c_93,c_5585,c_5622]) ).
tcf(c_5638,plain,
! [X0: $i] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK15(xR,sK16))
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16)) ),
inference(renaming,[status(thm)],[c_5637]) ).
tcf(c_5648,plain,
! [X0: $i] :
( ~ aElement0(sK16)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16)) ),
inference(superposition,[status(thm)],[c_5217,c_5638]) ).
tcf(c_5649,plain,
! [X0: $i] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,sK16)
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5648,c_4071]) ).
tcf(c_5657,plain,
! [X0: $i] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtplgtdt0(sK16,X0,sK15(xR,sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_5649,c_97,c_93,c_5622,c_5649]) ).
tcf(c_5666,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK16)
| ~ sdtmndtasgtdt0(sK16,xR,sK16) ),
inference(superposition,[status(thm)],[c_5087,c_5657]) ).
tcf(c_5667,plain,
~ sdtmndtasgtdt0(sK16,xR,sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_5666,c_94,c_93,c_4071]) ).
tcf(c_5668,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5667,c_5622,c_93,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM013+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 07:48:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 3.29/1.28 % SZS status Started for theBenchmark.p
% 3.29/1.28 % SZS status Theorem for theBenchmark.p
% 3.29/1.28
% 3.29/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.29/1.28
% 3.29/1.28 % ------ iProver source info
% 3.29/1.28
% 3.29/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.29/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.29/1.28 % git: non_committed_changes: false
% 3.29/1.28
% 3.29/1.28 % ------ Parsing...
% 3.29/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.29/1.28
% 3.29/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.29/1.28
% 3.29/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.29/1.28
% 3.29/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.29/1.28 % ------ Proving...
% 3.29/1.28 % ------ Problem Properties
% 3.29/1.28
% 3.29/1.28 %
% 3.29/1.28 % clauses 42
% 3.29/1.28 % conjectures 1
% 3.29/1.28 % EPR 12
% 3.29/1.28 % Horn 25
% 3.29/1.28 % unary 3
% 3.29/1.28 % binary 10
% 3.29/1.28 % lits 174
% 3.29/1.28 % lits eq 1
% 3.29/1.28 % fd_pure 0
% 3.29/1.28 % fd_pseudo 0
% 3.29/1.28 % fd_cond 0
% 3.29/1.28 % fd_pseudo_cond 1
% 3.29/1.28 % AC symbols 0
% 3.29/1.28
% 3.29/1.28 % ------ Schedule dynamic 5 is on
% 3.29/1.28
% 3.29/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.29/1.28
% 3.29/1.28
% 3.29/1.28 % ------
% 3.29/1.28 % Current options:
% 3.29/1.28 % ------
% 3.29/1.28
% 3.29/1.28
% 3.29/1.28 %
% 3.29/1.28
% 3.29/1.28 % ------ Proving...
% 3.29/1.28 %
% 3.29/1.28
% 3.29/1.28 % SZS status Theorem for theBenchmark.p
% 3.29/1.28
% 3.29/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.29/1.28
% 3.29/1.28
%------------------------------------------------------------------------------