%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM016+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:04:19 PM UTC 2026
% Result : Theorem 3.94s 1.31s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f136ERROR: Could not build tree for root c_5032ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f19,axiom,
( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(f20,conjecture,
? [X0] :
( sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f32,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(f33,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
inference(flattening,[],[f32]) ).
fof(f48,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f55,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,[],[f29]) ).
fof(f56,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,[],[f55]) ).
fof(f57,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,[],[f56]) ).
fof(f58,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))],[f57]) ).
fof(f59,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,[],[f33]) ).
fof(f60,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,[],[f59]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
| aReductOfIn0(X2,X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| aReductOfIn0(sK4(X0,X1,X2),X0,X1)
| aReductOfIn0(X2,X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| aReductOfIn0(X2,X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f123,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f127,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f128,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f133,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f19]) ).
fof(f134,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( aReductOfIn0(X2,X0,X1)
| aElement0(sK4(X0,X1,X2))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( aReductOfIn0(X2,X0,X1)
| aReductOfIn0(sK4(X0,X1,X2),X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X0,X1,X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f136]) ).
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,[],[f86]) ).
tcf(c_94,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f123]) ).
tcf(c_97,plain,
aElement0(xa),
inference(cnf_transformation,[],[f128]) ).
tcf(c_98,plain,
aElement0(xb),
inference(cnf_transformation,[],[f127]) ).
tcf(c_103,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f133]) ).
tcf(c_105,negated_conjecture,
! [X0: $i] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ( X0 != xR ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_94]) ).
tcf(c_991,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,X1) ),
inference(unflattening,[status(thm)],[c_990]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X1,X0,X1)
| ~ aElement0(X1)
| ( X0 != xR ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_94]) ).
tcf(c_1006,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,X0)
| ~ aElement0(X0) ),
inference(unflattening,[status(thm)],[c_1005]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i,X2: $i] :
( aReductOfIn0(X2,X1,X0)
| sdtmndtplgtdt0(sK4(X1,X0,X2),X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ( X0 != xR ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_94]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i] :
( aReductOfIn0(X1,X0,xR)
| sdtmndtplgtdt0(sK4(X0,xR,X1),xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,X1) ),
inference(unflattening,[status(thm)],[c_1034]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i,X2: $i] :
( aReductOfIn0(X2,X1,X0)
| aReductOfIn0(sK4(X1,X0,X2),X1,X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ( X0 != xR ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_94]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i] :
( aReductOfIn0(X1,X0,xR)
| aReductOfIn0(sK4(X0,xR,X1),X0,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,X1) ),
inference(unflattening,[status(thm)],[c_1052]) ).
tcf(c_1070,plain,
! [X0: $i,X1: $i,X2: $i] :
( aReductOfIn0(X2,X1,X0)
| aElement0(sK4(X1,X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ( X0 != xR ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_94]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i] :
( aReductOfIn0(X1,X0,xR)
| aElement0(sK4(X0,xR,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,X1) ),
inference(unflattening,[status(thm)],[c_1070]) ).
tcf(c_4005,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3,X1_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( aReductOfIn0(X1_iProver_sdtmndtplgtdt0_3,X0_iProver_sdtmndtplgtdt0_3,xR)
| aElement0(sK4(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3))
| ~ aElement0(X1_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3) ),
inference(subtyping,[status(esa)],[c_1071]) ).
tcf(c_4006,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3,X1_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( aReductOfIn0(X1_iProver_sdtmndtplgtdt0_3,X0_iProver_sdtmndtplgtdt0_3,xR)
| aReductOfIn0(sK4(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3),X0_iProver_sdtmndtplgtdt0_3,xR)
| ~ aElement0(X1_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3) ),
inference(subtyping,[status(esa)],[c_1053]) ).
tcf(c_4007,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3,X1_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( aReductOfIn0(X1_iProver_sdtmndtplgtdt0_3,X0_iProver_sdtmndtplgtdt0_3,xR)
| sdtmndtplgtdt0(sK4(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3),xR,X1_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X1_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3) ),
inference(subtyping,[status(esa)],[c_1035]) ).
tcf(c_4009,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( sdtmndtasgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,X0_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3) ),
inference(subtyping,[status(esa)],[c_1006]) ).
tcf(c_4010,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3,X1_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( sdtmndtasgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X1_iProver_sdtmndtplgtdt0_3)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,X1_iProver_sdtmndtplgtdt0_3) ),
inference(subtyping,[status(esa)],[c_991]) ).
tcf(c_4021,negated_conjecture,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtasgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,xb)
| ~ aReductOfIn0(X0_iProver_sdtmndtplgtdt0_3,xa,xR) ),
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_4841,plain,
( ~ aElement0(xb)
| ~ aReductOfIn0(xb,xa,xR) ),
inference(resolution,[status(thm)],[c_4021,c_4009]) ).
tcf(c_4852,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( ~ aElement0(xb)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,xb)
| ~ aReductOfIn0(X0_iProver_sdtmndtplgtdt0_3,xa,xR) ),
inference(resolution,[status(thm)],[c_4010,c_4021]) ).
tcf(c_4854,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( ~ aReductOfIn0(X0_iProver_sdtmndtplgtdt0_3,xa,xR)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,xb)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3) ),
inference(global_subsumption_just,[status(thm)],[c_4852,c_98,c_4852]) ).
tcf(c_4855,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,xb)
| ~ aReductOfIn0(X0_iProver_sdtmndtplgtdt0_3,xa,xR) ),
inference(renaming,[status(thm)],[c_4854]) ).
tcf(c_4965,plain,
! [X0_iProver_sdtmndtplgtdt0_3: iProver_sdtmndtplgtdt0_3] :
( aReductOfIn0(xb,X0_iProver_sdtmndtplgtdt0_3,xR)
| ~ aElement0(xb)
| ~ aElement0(X0_iProver_sdtmndtplgtdt0_3)
| ~ sdtmndtplgtdt0(X0_iProver_sdtmndtplgtdt0_3,xR,xb)
| ~ aElement0(sK4(X0_iProver_sdtmndtplgtdt0_3,xR,xb))
| ~ aReductOfIn0(sK4(X0_iProver_sdtmndtplgtdt0_3,xR,xb),xa,xR) ),
inference(resolution,[status(thm)],[c_4007,c_4855]) ).
tcf(c_4966,plain,
( aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aElement0(sK4(xa,xR,xb))
| ~ aReductOfIn0(sK4(xa,xR,xb),xa,xR) ),
inference(instantiation,[status(thm)],[c_4965]) ).
tcf(c_4999,plain,
( aReductOfIn0(xb,xa,xR)
| aElement0(sK4(xa,xR,xb))
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(instantiation,[status(thm)],[c_4005]) ).
tcf(c_5031,plain,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(sK4(xa,xR,xb),xa,xR)
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(instantiation,[status(thm)],[c_4006]) ).
tcf(c_5032,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5031,c_4999,c_4966,c_4841,c_103,c_97,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 07:49:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 3.94/1.31 % SZS status Started for theBenchmark.p
% 3.94/1.31 % SZS status Theorem for theBenchmark.p
% 3.94/1.31
% 3.94/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.94/1.31
% 3.94/1.31 % ------ iProver source info
% 3.94/1.31
% 3.94/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.94/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.94/1.31 % git: non_committed_changes: false
% 3.94/1.31
% 3.94/1.31 % ------ Parsing...
% 3.94/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.94/1.31
% 3.94/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 3.94/1.31
% 3.94/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.94/1.31
% 3.94/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.94/1.31 % ------ Proving...
% 3.94/1.31 % ------ Problem Properties
% 3.94/1.31
% 3.94/1.31 %
% 3.94/1.31 % clauses 43
% 3.94/1.31 % conjectures 1
% 3.94/1.31 % EPR 15
% 3.94/1.31 % Horn 29
% 3.94/1.31 % unary 6
% 3.94/1.31 % binary 14
% 3.94/1.31 % lits 160
% 3.94/1.31 % lits eq 1
% 3.94/1.31 % fd_pure 0
% 3.94/1.31 % fd_pseudo 0
% 3.94/1.31 % fd_cond 0
% 3.94/1.31 % fd_pseudo_cond 1
% 3.94/1.31 % AC symbols 0
% 3.94/1.31
% 3.94/1.31 % ------ Input Options Time Limit: Unbounded
% 3.94/1.31
% 3.94/1.31
% 3.94/1.31 % ------
% 3.94/1.31 % Current options:
% 3.94/1.31 % ------
% 3.94/1.31
% 3.94/1.31
% 3.94/1.31 %
% 3.94/1.31
% 3.94/1.31 % ------ Proving...
% 3.94/1.31 %
% 3.94/1.31
% 3.94/1.31 % SZS status Theorem for theBenchmark.p
% 3.94/1.31
% 3.94/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.31
% 3.94/1.31
%------------------------------------------------------------------------------