%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS114+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 : n004.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 01:54:11 PM UTC 2026
% Result : Unsatisfiable 2.14s 1.18s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 87 ( 7 unt; 0 def)
% Number of atoms : 314 ( 25 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 388 ( 161 ~; 146 |; 67 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 170 ( 0 sgn 140 !; 30 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ca_Ax3(X1)
& rs(X0,X1) )
& ? [X1] :
( ca_Ax4(X1)
& rr(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f26,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f27,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f30,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cpxcomp(X0)
& cqxcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f31,axiom,
! [X0] :
( ca_Ax4(X0)
<=> ( ? [X3] :
( ca_Vx5(X3)
& rinvR(X0,X3) )
& ! [X1,X2] :
( ( rinvR(X0,X2)
& rinvR(X0,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f32,axiom,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f33,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f34,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X2] :
( ca_Ax3(X2)
& rs(X0,X2) )
& ? [X1] :
( ca_Ax4(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f80,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f82,plain,
! [X0] :
( ca_Ax4(X0)
<=> ( ? [X3] :
( ca_Vx5(X3)
& rinvR(X0,X3) )
& ! [X1,X2] :
( ~ rinvR(X0,X2)
| ~ rinvR(X0,X1)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f83,plain,
! [X0] :
( ca_Ax4(X0)
<=> ( ? [X3] :
( ca_Vx5(X3)
& rinvR(X0,X3) )
& ! [X1,X2] :
( ~ rinvR(X0,X2)
| ~ rinvR(X0,X1)
| X1 = X2 ) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( ~ rs(X0,X1)
| cp(X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f86,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X2] :
( ca_Ax3(X2)
& rs(X0,X2) )
& ? [X1] :
( ca_Ax4(X1)
& rr(X0,X1) ) ) )
& ( ! [X2] :
( ~ ca_Ax3(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ ca_Ax4(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f87,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X2] :
( ca_Ax3(X2)
& rs(X0,X2) )
& ? [X1] :
( ca_Ax4(X1)
& rr(X0,X1) ) ) )
& ( ! [X2] :
( ~ ca_Ax3(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ ca_Ax4(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X4] :
( ca_Ax3(X4)
& rs(X0,X4) )
& ? [X3] :
( ca_Ax4(X3)
& rr(X0,X3) ) ) )
& ( ! [X2] :
( ~ ca_Ax3(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ ca_Ax4(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ca_Ax3(sK1(X0))
& rs(X0,sK1(X0))
& ca_Ax4(sK0(X0))
& rr(X0,sK0(X0)) ) )
& ( ! [X2] :
( ~ ca_Ax3(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ ca_Ax4(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f91,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ra_Px1(X0,sK2(X0))
| cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f91]) ).
fof(f93,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f94,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ? [X2] : ra_Px1(X0,X2) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f94]) ).
fof(f102,plain,
! [X0] :
( ( ~ ca_Ax3(X0)
| ( cpxcomp(X0)
& cqxcomp(X0) ) )
& ( ~ cpxcomp(X0)
| ~ cqxcomp(X0)
| ca_Ax3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f103,plain,
! [X0] :
( ( ~ ca_Ax3(X0)
| ( cpxcomp(X0)
& cqxcomp(X0) ) )
& ( ~ cpxcomp(X0)
| ~ cqxcomp(X0)
| ca_Ax3(X0) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( ~ ca_Ax4(X0)
| ( ? [X3] :
( ca_Vx5(X3)
& rinvR(X0,X3) )
& ! [X1,X2] :
( ~ rinvR(X0,X2)
| ~ rinvR(X0,X1)
| X1 = X2 ) ) )
& ( ! [X3] :
( ~ ca_Vx5(X3)
| ~ rinvR(X0,X3) )
| ? [X1,X2] :
( rinvR(X0,X2)
& rinvR(X0,X1)
& X1 != X2 )
| ca_Ax4(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f105,plain,
! [X0] :
( ( ~ ca_Ax4(X0)
| ( ? [X3] :
( ca_Vx5(X3)
& rinvR(X0,X3) )
& ! [X1,X2] :
( ~ rinvR(X0,X2)
| ~ rinvR(X0,X1)
| X1 = X2 ) ) )
& ( ! [X3] :
( ~ ca_Vx5(X3)
| ~ rinvR(X0,X3) )
| ? [X1,X2] :
( rinvR(X0,X2)
& rinvR(X0,X1)
& X1 != X2 )
| ca_Ax4(X0) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ( ~ ca_Ax4(X0)
| ( ? [X6] :
( ca_Vx5(X6)
& rinvR(X0,X6) )
& ! [X4,X5] :
( ~ rinvR(X0,X5)
| ~ rinvR(X0,X4)
| X4 = X5 ) ) )
& ( ! [X3] :
( ~ ca_Vx5(X3)
| ~ rinvR(X0,X3) )
| ? [X1,X2] :
( rinvR(X0,X2)
& rinvR(X0,X1)
& X1 != X2 )
| ca_Ax4(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( ~ ca_Ax4(X0)
| ( ca_Vx5(sK8(X0))
& rinvR(X0,sK8(X0))
& ! [X4,X5] :
( ~ rinvR(X0,X5)
| ~ rinvR(X0,X4)
| X4 = X5 ) ) )
& ( ! [X3] :
( ~ ca_Vx5(X3)
| ~ rinvR(X0,X3) )
| ( rinvR(X0,sK7(X0))
& rinvR(X0,sK6(X0))
& sK6(X0) != sK7(X0) )
| ca_Ax4(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0)),skolemize(X6,sK8(X0))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ~ ca_Vx5(X0)
| ! [X1] :
( ~ rs(X0,X1)
| cp(X1) ) )
& ( ? [X1] :
( rs(X0,X1)
& ~ cp(X1) )
| ca_Vx5(X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f109,plain,
! [X0] :
( ( ~ ca_Vx5(X0)
| ! [X2] :
( ~ rs(X0,X2)
| cp(X2) ) )
& ( ? [X1] :
( rs(X0,X1)
& ~ cp(X1) )
| ca_Vx5(X0) ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ~ ca_Vx5(X0)
| ! [X2] :
( ~ rs(X0,X2)
| cp(X2) ) )
& ( ( rs(X0,sK9(X0))
& ~ cp(sK9(X0)) )
| ca_Vx5(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( ~ rinvR(X0,X1)
| rr(X1,X0) )
& ( ~ rr(X1,X0)
| rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f138,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax3(sK1(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f140,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax4(sK0(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f143,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f151,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f154,plain,
! [X0] :
( ~ ca_Ax4(X0)
| ca_Vx5(sK8(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f155,plain,
! [X0] :
( ~ ca_Ax4(X0)
| rinvR(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f156,plain,
! [X0,X4,X5] :
( ~ ca_Ax4(X0)
| ~ rinvR(X0,X5)
| ~ rinvR(X0,X4)
| X4 = X5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f160,plain,
! [X2,X0] :
( ~ ca_Vx5(X0)
| ~ rs(X0,X2)
| cp(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f164,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f165,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(cnf_transformation,[],[f34]) ).
tcf(c_54,plain,
! [X0: $i] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_55,plain,
! [X0: $i] :
( ca_Ax4(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_56,plain,
! [X0: $i] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_57,plain,
! [X0: $i] :
( ca_Ax3(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_61,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_68,plain,
! [X0: $i] :
( cpxcomp(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ca_Ax4(X0)
| ~ rinvR(X0,X2)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_73,plain,
! [X0: $i] :
( rinvR(X0,sK8(X0))
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_74,plain,
! [X0: $i] :
( ca_Vx5(sK8(X0))
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( cp(X1)
| ~ ca_Vx5(X0)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( rinvR(X1,X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_80,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(cnf_transformation,[],[f165]) ).
tcf(c_94,plain,
( ca_Ax4(sK0(i2003_11_14_17_21_262))
| ~ cUnsatisfiable(i2003_11_14_17_21_262) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_115,plain,
! [X0: $i] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_119,plain,
! [X0: $i] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( rinvR(X1,X0)
| ~ rr(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_125]) ).
tcf(c_133,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_137,plain,
! [X0: $i] :
( ~ ca_Ax3(X0)
| cpxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
tcf(c_138,plain,
! [X0: $i] :
( cpxcomp(X0)
| ~ ca_Ax3(X0) ),
inference(renaming,[status(thm)],[c_137]) ).
tcf(c_574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cpxcomp(X1)
| ~ cp(X0)
| ( X0 != X1 )
| ( sK3(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_126,c_133]) ).
tcf(c_575,plain,
! [X0: $i] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(unflattening,[status(thm)],[c_574]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i] :
( ~ cp(X1)
| ~ ca_Ax3(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_575]) ).
tcf(c_644,plain,
! [X0: $i] :
( ~ cp(X0)
| ~ ca_Ax3(X0) ),
inference(unflattening,[status(thm)],[c_643]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i] :
( rinvR(X2,X0)
| ~ cUnsatisfiable(X1)
| ( X0 != X1 )
| ( sK0(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_123,c_115]) ).
tcf(c_745,plain,
! [X0: $i] :
( rinvR(sK0(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_744]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i] :
( cp(X1)
| ~ ca_Vx5(X2)
| ~ cUnsatisfiable(X0)
| ( X0 != X2 )
| ( sK1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_119,c_77]) ).
tcf(c_784,plain,
! [X0: $i] :
( cp(sK1(X0))
| ~ ca_Vx5(X0)
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_783]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i] :
( ~ ca_Vx5(X0)
| ~ ca_Ax3(X1)
| ~ cUnsatisfiable(X0)
| ( sK1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_644,c_784]) ).
tcf(c_836,plain,
! [X0: $i] :
( ~ ca_Vx5(X0)
| ~ cUnsatisfiable(X0)
| ~ ca_Ax3(sK1(X0)) ),
inference(unflattening,[status(thm)],[c_835]) ).
tcf(c_838,plain,
! [X0: $i] :
( ~ ca_Vx5(X0)
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_836,c_57,c_836]) ).
tcf(c_2904,plain,
~ ca_Vx5(i2003_11_14_17_21_262),
inference(superposition,[status(thm)],[c_80,c_838]) ).
tcf(c_2970,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0) = X1 )
| ~ ca_Ax4(X0)
| ~ rinvR(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_72]) ).
tcf(c_2987,plain,
! [X0: $i] :
( ( sK8(sK0(X0)) = X0 )
| ~ cUnsatisfiable(X0)
| ~ ca_Ax4(sK0(X0)) ),
inference(superposition,[status(thm)],[c_745,c_2970]) ).
tcf(c_2992,plain,
! [X0: $i] :
( ( sK8(sK0(X0)) = X0 )
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2987,c_55,c_2987]) ).
tcf(c_2999,plain,
sK8(sK0(i2003_11_14_17_21_262)) = i2003_11_14_17_21_262,
inference(superposition,[status(thm)],[c_80,c_2992]) ).
tcf(c_3001,plain,
( ca_Vx5(i2003_11_14_17_21_262)
| ~ ca_Ax4(sK0(i2003_11_14_17_21_262)) ),
inference(superposition,[status(thm)],[c_2999,c_74]) ).
tcf(c_3002,plain,
~ ca_Ax4(sK0(i2003_11_14_17_21_262)),
inference(forward_subsumption_resolution,[status(thm)],[c_3001,c_2904]) ).
tcf(c_3003,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3002,c_94,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS114+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:25:36 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 2.14/1.18 % SZS status Started for theBenchmark.p
% 2.14/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.18
% 2.14/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/1.18
% 2.14/1.18 % ------ iProver source info
% 2.14/1.18
% 2.14/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.14/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/1.18 % git: non_committed_changes: false
% 2.14/1.18
% 2.14/1.18 % ------ Parsing...
% 2.14/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.14/1.18
% 2.14/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 2.14/1.18
% 2.14/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.14/1.18
% 2.14/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.14/1.18 % ------ Proving...
% 2.14/1.18 % ------ Problem Properties
% 2.14/1.18
% 2.14/1.18 %
% 2.14/1.18 % clauses 17
% 2.14/1.18 % conjectures 0
% 2.14/1.18 % EPR 5
% 2.14/1.18 % Horn 12
% 2.14/1.18 % unary 1
% 2.14/1.18 % binary 10
% 2.14/1.18 % lits 45
% 2.14/1.18 % lits eq 2
% 2.14/1.18 % fd_pure 0
% 2.14/1.18 % fd_pseudo 0
% 2.14/1.18 % fd_cond 0
% 2.14/1.18 % fd_pseudo_cond 1
% 2.14/1.18 % AC symbols 0
% 2.14/1.18
% 2.14/1.18 % ------ Schedule dynamic 5 is on
% 2.14/1.18
% 2.14/1.18 % ------ no conjectures: strip conj schedule
% 2.14/1.18
% 2.14/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.14/1.18
% 2.14/1.18
% 2.14/1.18 % ------
% 2.14/1.18 % Current options:
% 2.14/1.18 % ------
% 2.14/1.18
% 2.14/1.18
% 2.14/1.18 %
% 2.14/1.18
% 2.14/1.18 % ------ Proving...
% 2.14/1.18 %
% 2.14/1.18
% 2.14/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.18
% 2.14/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/1.18
% 2.14/1.18
%------------------------------------------------------------------------------