%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:54:09 PM UTC 2026
% Result : Unsatisfiable 0.30s 6.31s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f106ERROR: Could not build tree for root c_1881ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f33,axiom,
! [X0] :
~ ( cd(X0)
& ce(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f35,axiom,
! [X0,X1] :
( rr2(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f37,axiom,
! [X0,X1] :
( rt2(X0,X1)
=> rtt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f38,axiom,
! [X0,X1] :
( rr3(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f39,axiom,
! [X0,X1] :
( rt3(X0,X1)
=> rtt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f95,plain,
! [X0] :
( ~ cd(X0)
| ~ ce(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f97,plain,
! [X0,X1] :
( ~ rr2(X0,X1)
| rr(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f99,plain,
! [X0,X1] :
( ~ rt2(X0,X1)
| rtt(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f100,plain,
! [X0,X1] :
( ~ rr3(X0,X1)
| rr(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f101,plain,
! [X0,X1] :
( ~ rt3(X0,X1)
| rtt(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f108,plain,
! [X0] :
( ( ~ sP3(X0)
| ( sP0(X0)
& sP1(X0)
& sP2(X0)
& ? [X1] :
( ! [X3,X4] :
( ~ rtt(X1,X4)
| ~ rtt(X1,X3)
| X3 = X4 )
& ? [X2] :
( ce(X2)
& rt3(X1,X2) )
& rr3(X0,X1) ) ) )
& ( ~ sP0(X0)
| ~ sP1(X0)
| ~ sP2(X0)
| ! [X1] :
( ? [X3,X4] :
( rtt(X1,X4)
& rtt(X1,X3)
& X3 != X4 )
| ! [X2] :
( ~ ce(X2)
| ~ rt3(X1,X2) )
| ~ rr3(X0,X1) )
| sP3(X0) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f109,plain,
! [X0] :
( ( ~ sP3(X0)
| ( sP0(X0)
& sP1(X0)
& sP2(X0)
& ? [X1] :
( ! [X3,X4] :
( ~ rtt(X1,X4)
| ~ rtt(X1,X3)
| X3 = X4 )
& ? [X2] :
( ce(X2)
& rt3(X1,X2) )
& rr3(X0,X1) ) ) )
& ( ~ sP0(X0)
| ~ sP1(X0)
| ~ sP2(X0)
| ! [X1] :
( ? [X3,X4] :
( rtt(X1,X4)
& rtt(X1,X3)
& X3 != X4 )
| ! [X2] :
( ~ ce(X2)
| ~ rt3(X1,X2) )
| ~ rr3(X0,X1) )
| sP3(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ~ sP3(X0)
| ( sP0(X0)
& sP1(X0)
& sP2(X0)
& ? [X5] :
( ! [X7,X8] :
( ~ rtt(X5,X8)
| ~ rtt(X5,X7)
| X7 = X8 )
& ? [X6] :
( ce(X6)
& rt3(X5,X6) )
& rr3(X0,X5) ) ) )
& ( ~ sP0(X0)
| ~ sP1(X0)
| ~ sP2(X0)
| ! [X1] :
( ? [X3,X4] :
( rtt(X1,X4)
& rtt(X1,X3)
& X3 != X4 )
| ! [X2] :
( ~ ce(X2)
| ~ rt3(X1,X2) )
| ~ rr3(X0,X1) )
| sP3(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( ~ sP3(X0)
| ( sP0(X0)
& sP1(X0)
& sP2(X0)
& ! [X7,X8] :
( ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7)
| X7 = X8 )
& ce(sK7(X0))
& rt3(sK6(X0),sK7(X0))
& rr3(X0,sK6(X0)) ) )
& ( ~ sP0(X0)
| ~ sP1(X0)
| ~ sP2(X0)
| ! [X1] :
( ( rtt(X1,sK5(X1))
& rtt(X1,sK4(X1))
& sK4(X1) != sK5(X1) )
| ! [X2] :
( ~ ce(X2)
| ~ rt3(X1,X2) )
| ~ rr3(X0,X1) )
| sP3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X3,sK4(X1)),skolemize(X4,sK5(X1)),skolemize(X5,sK6(X0)),skolemize(X6,sK7(X0))],[f110]) ).
fof(f112,plain,
! [X0] :
( ( ~ sP2(X0)
| ? [X5] :
( ? [X8] :
( cd(X8)
& rt2(X5,X8) )
& ! [X6,X7] :
( ~ rtt(X5,X7)
| ~ rtt(X5,X6)
| X6 = X7 )
& rr2(X0,X5) ) )
& ( ! [X5] :
( ! [X8] :
( ~ cd(X8)
| ~ rt2(X5,X8) )
| ? [X6,X7] :
( rtt(X5,X7)
& rtt(X5,X6)
& X6 != X7 )
| ~ rr2(X0,X5) )
| sP2(X0) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f113,plain,
! [X0] :
( ( ~ sP2(X0)
| ? [X5] :
( ? [X8] :
( cd(X8)
& rt2(X5,X8) )
& ! [X6,X7] :
( ~ rtt(X5,X7)
| ~ rtt(X5,X6)
| X6 = X7 )
& rr2(X0,X5) ) )
& ( ! [X1] :
( ! [X4] :
( ~ cd(X4)
| ~ rt2(X1,X4) )
| ? [X2,X3] :
( rtt(X1,X3)
& rtt(X1,X2)
& X2 != X3 )
| ~ rr2(X0,X1) )
| sP2(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( ~ sP2(X0)
| ( cd(sK11(X0))
& rt2(sK10(X0),sK11(X0))
& ! [X6,X7] :
( ~ rtt(sK10(X0),X7)
| ~ rtt(sK10(X0),X6)
| X6 = X7 )
& rr2(X0,sK10(X0)) ) )
& ( ! [X1] :
( ! [X4] :
( ~ cd(X4)
| ~ rt2(X1,X4) )
| ( rtt(X1,sK9(X1))
& rtt(X1,sK8(X1))
& sK8(X1) != sK9(X1) )
| ~ rr2(X0,X1) )
| sP2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X1)),skolemize(X3,sK9(X1)),skolemize(X5,sK10(X0)),skolemize(X8,sK11(X0))],[f113]) ).
fof(f115,plain,
! [X0] :
( ( ~ sP1(X0)
| ! [X9,X10] :
( X9 = X10
| ~ rr(X0,X10)
| ~ rr(X0,X9) ) )
& ( ? [X9,X10] :
( X9 != X10
& rr(X0,X10)
& rr(X0,X9) )
| sP1(X0) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f116,plain,
! [X0] :
( ( ~ sP1(X0)
| ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) )
& ( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
| sP1(X0) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ( ~ sP1(X0)
| ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) )
& ( ( sK12(X0) != sK13(X0)
& rr(X0,sK13(X0))
& rr(X0,sK12(X0)) )
| sP1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f116]) ).
fof(f121,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| sP3(X0) )
& ( ~ sP3(X0)
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f154,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f155,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f156,plain,
! [X0,X8,X7] :
( ~ sP3(X0)
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7)
| X7 = X8 ),
inference(cnf_transformation,[],[f111]) ).
fof(f157,plain,
! [X0] :
( ~ sP3(X0)
| ce(sK7(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f158,plain,
! [X0] :
( ~ sP3(X0)
| rt3(sK6(X0),sK7(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f159,plain,
! [X0] :
( ~ sP3(X0)
| rr3(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f163,plain,
! [X0] :
( ~ sP2(X0)
| cd(sK11(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f164,plain,
! [X0] :
( ~ sP2(X0)
| rt2(sK10(X0),sK11(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f166,plain,
! [X0] :
( ~ sP2(X0)
| rr2(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f170,plain,
! [X3,X0,X4] :
( ~ sP1(X0)
| X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f181,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f186,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf_transformation,[],[f30]) ).
fof(f189,plain,
! [X0] :
( ~ cd(X0)
| ~ ce(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f191,plain,
! [X0,X1] :
( ~ rr2(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f193,plain,
! [X0,X1] :
( ~ rt2(X0,X1)
| rtt(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f194,plain,
! [X0,X1] :
( ~ rr3(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f195,plain,
! [X0,X1] :
( ~ rt3(X0,X1)
| rtt(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_56,plain,
! [X0: $i] :
( rr3(X0,sK6(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_57,plain,
! [X0: $i] :
( rt3(sK6(X0),sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_58,plain,
! [X0: $i] :
( ce(sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ sP3(X0)
| ~ rtt(sK6(X0),X2)
| ~ rtt(sK6(X0),X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_60,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_61,plain,
! [X0: $i] :
( sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_66,plain,
! [X0: $i] :
( rr2(X0,sK10(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_68,plain,
! [X0: $i] :
( rt2(sK10(X0),sK11(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_69,plain,
! [X0: $i] :
( cd(sK11(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ sP1(X0)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_82,plain,
! [X0: $i] :
( sP3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_86,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf_transformation,[],[f186]) ).
tcf(c_89,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ ce(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_147,plain,
! [X0: $i] :
( sP3(X0)
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_94]) ).
tcf(c_151,plain,
! [X0: $i] :
( rr2(X0,sK10(X0))
| ~ sP2(X0) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
tcf(c_153,plain,
! [X0: $i] :
( rt2(sK10(X0),sK11(X0))
| ~ sP2(X0) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
tcf(c_155,plain,
! [X0: $i] :
( cd(sK11(X0))
| ~ sP2(X0) ),
inference(prop_impl_just,[status(thm)],[c_69]) ).
tcf(c_157,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| sP2(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_60]) ).
tcf(c_158,plain,
! [X0: $i] :
( sP2(X0)
| ~ cUnsatisfiable(X0) ),
inference(renaming,[status(thm)],[c_157]) ).
tcf(c_165,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_61]) ).
tcf(c_166,plain,
! [X0: $i] :
( sP1(X0)
| ~ cUnsatisfiable(X0) ),
inference(renaming,[status(thm)],[c_165]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_193,plain,
! [X0: $i] :
( rr3(X0,sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_56]) ).
tcf(c_195,plain,
! [X0: $i] :
( rt3(sK6(X0),sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_57]) ).
tcf(c_197,plain,
! [X0: $i] :
( ce(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_58]) ).
tcf(c_209,plain,
! [X0: $i] :
( ~ ce(X0)
| ~ cd(X0) ),
inference(prop_impl_just,[status(thm)],[c_89]) ).
tcf(c_210,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ ce(X0) ),
inference(renaming,[status(thm)],[c_209]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_93]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_95]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cUnsatisfiable(X0)
| ~ rtt(sK6(X0),X2)
| ~ rtt(sK6(X0),X1) ),
inference(bin_hyper_res,[status(thm)],[c_59,c_147]) ).
tcf(c_938,plain,
! [X0: $i,X1: $i,X2: $i] :
( rr(X0,X2)
| ~ sP2(X1)
| ( X0 != X1 )
| ( sK10(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_175,c_151]) ).
tcf(c_939,plain,
! [X0: $i] :
( rr(X0,sK10(X0))
| ~ sP2(X0) ),
inference(unflattening,[status(thm)],[c_938]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i,X2: $i] :
( rtt(X1,X2)
| ~ sP2(X0)
| ( sK11(X0) != X2 )
| ( sK10(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_153,c_221]) ).
tcf(c_956,plain,
! [X0: $i] :
( rtt(sK10(X0),sK11(X0))
| ~ sP2(X0) ),
inference(unflattening,[status(thm)],[c_955]) ).
tcf(c_966,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X0)
| ~ ce(X1)
| ( sK11(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_155,c_210]) ).
tcf(c_967,plain,
! [X0: $i] :
( ~ sP2(X0)
| ~ ce(sK11(X0)) ),
inference(unflattening,[status(thm)],[c_966]) ).
tcf(c_1045,plain,
! [X0: $i,X1: $i,X2: $i] :
( rr(X0,X2)
| ~ cUnsatisfiable(X1)
| ( X0 != X1 )
| ( sK6(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_149,c_193]) ).
tcf(c_1046,plain,
! [X0: $i] :
( rr(X0,sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_1045]) ).
tcf(c_1058,plain,
! [X0: $i,X1: $i,X2: $i] :
( rtt(X1,X2)
| ~ cUnsatisfiable(X0)
| ( sK7(X0) != X2 )
| ( sK6(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_195,c_223]) ).
tcf(c_1059,plain,
! [X0: $i] :
( rtt(sK6(X0),sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_1058]) ).
tcf(c_1094,plain,
! [X0: $i] :
( rtt(sK6(X0),sK7(X0))
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_1059,c_86]) ).
tcf(c_1095,plain,
rtt(sK6(i2003_11_14_17_20_25524),sK7(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1094]) ).
tcf(c_1099,plain,
! [X0: $i] :
( rr(X0,sK6(X0))
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_1046,c_86]) ).
tcf(c_1100,plain,
rr(i2003_11_14_17_20_25524,sK6(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1099]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rtt(sK6(X0),X2)
| ~ rtt(sK6(X0),X1)
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_339,c_86]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rtt(sK6(i2003_11_14_17_20_25524),X1)
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0) ),
inference(unflattening,[status(thm)],[c_1104]) ).
tcf(c_1116,plain,
! [X0: $i] :
( ce(sK7(X0))
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_197,c_86]) ).
tcf(c_1117,plain,
ce(sK7(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1116]) ).
tcf(c_1126,plain,
! [X0: $i] :
( sP1(X0)
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_166,c_86]) ).
tcf(c_1127,plain,
sP1(i2003_11_14_17_20_25524),
inference(unflattening,[status(thm)],[c_1126]) ).
tcf(c_1131,plain,
! [X0: $i] :
( sP2(X0)
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_158,c_86]) ).
tcf(c_1132,plain,
sP2(i2003_11_14_17_20_25524),
inference(unflattening,[status(thm)],[c_1131]) ).
tcf(c_1150,plain,
! [X0: $i] :
( ~ sP2(X0)
| ( sK11(X0) != sK7(i2003_11_14_17_20_25524) ) ),
inference(resolution_lifted,[status(thm)],[c_1117,c_967]) ).
tcf(c_1232,plain,
! [X0: $i] :
( ( X0 != i2003_11_14_17_20_25524 )
| ( sK11(X0) != sK7(i2003_11_14_17_20_25524) ) ),
inference(resolution_lifted,[status(thm)],[c_1150,c_1132]) ).
tcf(c_1233,plain,
sK11(i2003_11_14_17_20_25524) != sK7(i2003_11_14_17_20_25524),
inference(unflattening,[status(thm)],[c_1232]) ).
tcf(c_1242,plain,
! [X0: $i] :
( rtt(sK10(X0),sK11(X0))
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_956,c_1132]) ).
tcf(c_1243,plain,
rtt(sK10(i2003_11_14_17_20_25524),sK11(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1242]) ).
tcf(c_1247,plain,
! [X0: $i] :
( rr(X0,sK10(X0))
| ( X0 != i2003_11_14_17_20_25524 ) ),
inference(resolution_lifted,[status(thm)],[c_939,c_1132]) ).
tcf(c_1248,plain,
rr(i2003_11_14_17_20_25524,sK10(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1247]) ).
tcf(c_1825,plain,
! [X0: $i] :
( ( sK6(i2003_11_14_17_20_25524) = X0 )
| ~ sP1(i2003_11_14_17_20_25524)
| ~ rr(i2003_11_14_17_20_25524,X0) ),
inference(superposition,[status(thm)],[c_1100,c_73]) ).
tcf(c_1826,plain,
! [X0: $i] :
( ( sK6(i2003_11_14_17_20_25524) = X0 )
| ~ rr(i2003_11_14_17_20_25524,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1825,c_1127]) ).
tcf(c_1844,plain,
sK6(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524),
inference(superposition,[status(thm)],[c_1248,c_1826]) ).
tcf(c_1847,plain,
rtt(sK6(i2003_11_14_17_20_25524),sK11(i2003_11_14_17_20_25524)),
inference(demodulation,[status(thm)],[c_1243,c_1844]) ).
tcf(c_1859,plain,
! [X0: $i] :
( ( sK7(i2003_11_14_17_20_25524) = X0 )
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0) ),
inference(superposition,[status(thm)],[c_1095,c_1105]) ).
tcf(c_1876,plain,
sK7(i2003_11_14_17_20_25524) = sK11(i2003_11_14_17_20_25524),
inference(superposition,[status(thm)],[c_1847,c_1859]) ).
tcf(c_1879,plain,
sK7(i2003_11_14_17_20_25524) != sK7(i2003_11_14_17_20_25524),
inference(demodulation,[status(thm)],[c_1233,c_1876]) ).
tcf(c_1881,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1879]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.61 % Computer : n010.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Wed Sep 23 19:24:08 UTC 2026
% 0.12/5.61 % CPUTime :
% 0.12/5.61 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.65 Running first-order theorem proving
% 0.12/5.65 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
% 0.12/5.66
% 0.12/5.66 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.66
% 0.12/5.66 % Detected problem language: tptp
% 0.12/5.67 % Proving...
% 0.30/6.31 % SZS status Started for theBenchmark.p
% 0.30/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 0.30/6.31
% 0.30/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.30/6.31
% 0.30/6.31 % ------ iProver source info
% 0.30/6.31
% 0.30/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 0.30/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.30/6.31 % git: non_committed_changes: false
% 0.30/6.31
% 0.30/6.31 % ------ Parsing...
% 0.30/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.30/6.31
% 0.30/6.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 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: 10 0s sf_e pe_s pe_e %
% 0.30/6.31
% 0.30/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.30/6.31
% 0.30/6.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.30/6.31 % ------ Proving...
% 0.30/6.31 % ------ Problem Properties
% 0.30/6.31
% 0.30/6.31 %
% 0.30/6.31 % clauses 18
% 0.30/6.31 % conjectures 0
% 0.30/6.31 % EPR 2
% 0.30/6.31 % Horn 16
% 0.30/6.31 % unary 11
% 0.30/6.31 % binary 3
% 0.30/6.31 % lits 30
% 0.30/6.31 % lits eq 6
% 0.30/6.31 % fd_pure 0
% 0.30/6.31 % fd_pseudo 0
% 0.30/6.31 % fd_cond 0
% 0.30/6.31 % fd_pseudo_cond 4
% 0.30/6.31 % AC symbols 0
% 0.30/6.31
% 0.30/6.31 % ------ Schedule dynamic 5 is on
% 0.30/6.31
% 0.30/6.31 % ------ no conjectures: strip conj schedule
% 0.30/6.31
% 0.30/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.30/6.31
% 0.30/6.31
% 0.30/6.31 % ------
% 0.30/6.31 % Current options:
% 0.30/6.31 % ------
% 0.30/6.31
% 0.30/6.31
% 0.30/6.31 %
% 0.30/6.31
% 0.30/6.31 % ------ Proving...
% 0.30/6.31 %
% 0.30/6.31
% 0.30/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 0.30/6.31
% 0.30/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.30/6.31
% 0.30/6.31
%------------------------------------------------------------------------------