%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS112+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 2.06s 1.26s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 9 unt; 0 def)
% Number of atoms : 310 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 365 ( 156 ~; 143 |; 52 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 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 : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 183 ( 0 sgn 161 !; 22 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X1] :
( ca_Ax2(X1)
& rf1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f27,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f28,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f29,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvF1(X0,X1)
=> ca_Vx3(X1) )
& cpxcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f30,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f34,axiom,
! [X0,X1] :
( rinvF1(X0,X1)
<=> rf1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f38,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f39,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f40,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X2] :
( cp(X2)
& rf(X0,X2) )
& ? [X1] :
( ca_Ax2(X1)
& rf1(X0,X1) ) ) ),
inference(rectify,[],[f26]) ).
fof(f87,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f88,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( ~ rinvF1(X0,X1)
| ca_Vx3(X1) )
& cpxcomp(X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f32]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f96,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f98,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X2] :
( cp(X2)
& rf(X0,X2) )
& ? [X1] :
( ca_Ax2(X1)
& rf1(X0,X1) ) ) )
& ( ! [X2] :
( ~ cp(X2)
| ~ rf(X0,X2) )
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f99,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X2] :
( cp(X2)
& rf(X0,X2) )
& ? [X1] :
( ca_Ax2(X1)
& rf1(X0,X1) ) ) )
& ( ! [X2] :
( ~ cp(X2)
| ~ rf(X0,X2) )
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X4] :
( cp(X4)
& rf(X0,X4) )
& ? [X3] :
( ca_Ax2(X3)
& rf1(X0,X3) ) ) )
& ( ! [X2] :
( ~ cp(X2)
| ~ rf(X0,X2) )
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( cp(sK1(X0))
& rf(X0,sK1(X0))
& ca_Ax2(sK0(X0))
& rf1(X0,sK0(X0)) ) )
& ( ! [X2] :
( ~ cp(X2)
| ~ rf(X0,X2) )
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f100]) ).
fof(f102,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp(X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f103,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp(X0) ) ),
inference(rectify,[],[f102]) ).
fof(f104,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))],[f103]) ).
fof(f105,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f106,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ? [X2] : ra_Px1(X0,X2) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,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))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( ! [X1] :
( ~ rinvF1(X0,X1)
| ca_Vx3(X1) )
& cpxcomp(X0) ) )
& ( ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
| ~ cpxcomp(X0)
| ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f109,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( ! [X1] :
( ~ rinvF1(X0,X1)
| ca_Vx3(X1) )
& cpxcomp(X0) ) )
& ( ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
| ~ cpxcomp(X0)
| ca_Ax2(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( ! [X2] :
( ~ rinvF1(X0,X2)
| ca_Vx3(X2) )
& cpxcomp(X0) ) )
& ( ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
| ~ cpxcomp(X0)
| ca_Ax2(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( ! [X2] :
( ~ rinvF1(X0,X2)
| ca_Vx3(X2) )
& cpxcomp(X0) ) )
& ( ( rinvF1(X0,sK4(X0))
& ~ ca_Vx3(sK4(X0)) )
| ~ cpxcomp(X0)
| ca_Ax2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f110]) ).
fof(f112,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) )
| ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f113,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ? [X2] :
( cowlThing(X2)
& rs(X0,X2) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) )
| ca_Vx3(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ( cowlThing(sK5(X0))
& rs(X0,sK5(X0)) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) )
| ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f113]) ).
fof(f116,plain,
! [X0,X1] :
( ( ~ rinvF1(X0,X1)
| rf1(X1,X0) )
& ( ~ rf1(X1,X0)
| rinvF1(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f145,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sK1(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f147,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK0(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f148,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f150,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f152,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f154,plain,
! [X2,X0] :
( ~ ca_Ax2(X0)
| ~ rinvF1(X0,X2)
| ca_Vx3(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f155,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f159,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rs(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f92]) ).
fof(f166,plain,
! [X0,X1] :
( ~ rf1(X1,X0)
| rinvF1(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f170,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f37]) ).
fof(f171,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f172,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_54,plain,
! [X0: $i] :
( rf1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_55,plain,
! [X0: $i] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_56,plain,
! [X0: $i] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_57,plain,
! [X0: $i] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_61,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_64,plain,
! [X0: $i] :
( cpxcomp(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X1)
| ~ ca_Ax2(X0)
| ~ rinvF1(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_67,plain,
! [X0: $i] :
( rs(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( rinvF1(X1,X0)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_78,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f170]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_117,plain,
! [X0: $i] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( rinvF1(X1,X0)
| ~ rf1(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_135,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_139,plain,
! [X0: $i] :
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
tcf(c_140,plain,
! [X0: $i] :
( cpxcomp(X0)
| ~ ca_Ax2(X0) ),
inference(renaming,[status(thm)],[c_139]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cpxcomp(X1)
| ~ cp(X0)
| ( X0 != X1 )
| ( sK3(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_128,c_135]) ).
tcf(c_539,plain,
! [X0: $i] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(unflattening,[status(thm)],[c_538]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ca_Vx3(X2)
| ~ ca_Ax2(X0)
| ~ rf1(X3,X1)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_123]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X0)
| ~ ca_Ax2(X1)
| ~ rf1(X0,X1) ),
inference(unflattening,[status(thm)],[c_626]) ).
tcf(c_786,plain,
! [X0: $i,X1: $i] :
( ~ cp(X1)
| ~ ca_Ax2(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_140,c_539]) ).
tcf(c_787,plain,
! [X0: $i] :
( ~ cp(X0)
| ~ ca_Ax2(X0) ),
inference(unflattening,[status(thm)],[c_786]) ).
tcf(c_1166,plain,
! [X0: $i,X1: $i] :
( ~ cp(X1)
| ~ cUnsatisfiable(X0)
| ( sK0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_117,c_787]) ).
tcf(c_1167,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp(sK0(X0)) ),
inference(unflattening,[status(thm)],[c_1166]) ).
tcf(c_1168,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ~ cp(sK0(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_2104,plain,
! [X0: $i] :
( rf(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(superposition,[status(thm)],[c_67,c_79]) ).
tcf(c_2112,plain,
! [X0: $i] :
( rf1(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(superposition,[status(thm)],[c_67,c_80]) ).
tcf(c_2122,plain,
! [X0: $i,X1: $i] :
( ( sK1(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_69]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rf1(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_70]) ).
tcf(c_2190,plain,
! [X0: $i] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X0)
| ~ ca_Ax2(sK0(X0)) ),
inference(superposition,[status(thm)],[c_54,c_627]) ).
tcf(c_2197,plain,
! [X0: $i] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2190,c_55,c_2190]) ).
tcf(c_2204,plain,
ca_Vx3(i2003_11_14_17_21_19256),
inference(superposition,[status(thm)],[c_78,c_2197]) ).
tcf(c_2223,plain,
! [X0: $i] :
( ( sK1(X0) = sK5(X0) )
| ~ ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2104,c_2122]) ).
tcf(c_2254,plain,
! [X0: $i] :
( ( sK1(X0) = sK5(X0) )
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2223,c_55,c_2190,c_2223]) ).
tcf(c_2261,plain,
sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256),
inference(superposition,[status(thm)],[c_78,c_2254]) ).
tcf(c_2262,plain,
( rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256))
| ~ ca_Vx3(i2003_11_14_17_21_19256) ),
inference(superposition,[status(thm)],[c_2261,c_2112]) ).
tcf(c_2267,plain,
rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256)),
inference(forward_subsumption_resolution,[status(thm)],[c_2262,c_2204]) ).
tcf(c_2301,plain,
( ( sK0(i2003_11_14_17_21_19256) = sK1(i2003_11_14_17_21_19256) )
| ~ cUnsatisfiable(i2003_11_14_17_21_19256) ),
inference(superposition,[status(thm)],[c_2267,c_2133]) ).
tcf(c_2307,plain,
sK0(i2003_11_14_17_21_19256) = sK1(i2003_11_14_17_21_19256),
inference(forward_subsumption_resolution,[status(thm)],[c_2301,c_78]) ).
tcf(c_2339,plain,
( cp(sK0(i2003_11_14_17_21_19256))
| ~ cUnsatisfiable(i2003_11_14_17_21_19256) ),
inference(superposition,[status(thm)],[c_2307,c_57]) ).
tcf(c_2340,plain,
cp(sK0(i2003_11_14_17_21_19256)),
inference(forward_subsumption_resolution,[status(thm)],[c_2339,c_78]) ).
tcf(c_2342,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2340,c_1168,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS112+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 19:25:21 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.06/1.26 % SZS status Started for theBenchmark.p
% 2.06/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.06/1.26
% 2.06/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.06/1.26
% 2.06/1.26 % ------ iProver source info
% 2.06/1.26
% 2.06/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.06/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.06/1.26 % git: non_committed_changes: false
% 2.06/1.26
% 2.06/1.26 % ------ Parsing...
% 2.06/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.06/1.26
% 2.06/1.26 % ------ 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: 3 0s sf_e pe_s pe_e %
% 2.06/1.26
% 2.06/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.06/1.26
% 2.06/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.06/1.26 % ------ Proving...
% 2.06/1.26 % ------ Problem Properties
% 2.06/1.26
% 2.06/1.26 %
% 2.06/1.26 % clauses 17
% 2.06/1.26 % conjectures 0
% 2.06/1.26 % EPR 10
% 2.06/1.26 % Horn 15
% 2.06/1.26 % unary 1
% 2.06/1.26 % binary 9
% 2.06/1.26 % lits 42
% 2.06/1.26 % lits eq 3
% 2.06/1.26 % fd_pure 0
% 2.06/1.26 % fd_pseudo 0
% 2.06/1.26 % fd_cond 0
% 2.06/1.26 % fd_pseudo_cond 3
% 2.06/1.26 % AC symbols 0
% 2.06/1.26
% 2.06/1.26 % ------ Schedule dynamic 5 is on
% 2.06/1.26
% 2.06/1.26 % ------ no conjectures: strip conj schedule
% 2.06/1.26
% 2.06/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.06/1.26
% 2.06/1.26
% 2.06/1.26 % ------
% 2.06/1.26 % Current options:
% 2.06/1.26 % ------
% 2.06/1.26
% 2.06/1.26
% 2.06/1.26 %
% 2.06/1.26
% 2.06/1.26 % ------ Proving...
% 2.06/1.26 %
% 2.06/1.26
% 2.06/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.06/1.26
% 2.06/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.06/1.26
% 2.06/1.26
%------------------------------------------------------------------------------