%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS120+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 : n007.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 01:54:12 PM UTC 2026
% Result : Unsatisfiable 2.59s 1.32s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 103 ( 11 unt; 0 def)
% Number of atoms : 289 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 345 ( 159 ~; 140 |; 37 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 157 ( 0 sgn 141 !; 16 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( ca_Ax2(X1)
& rf(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rinvF(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cp1xcomp(X1)
& rf(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f70,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f71,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f72,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ) ),
inference(flattening,[],[f71]) ).
fof(f76,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ? [X1] :
( ca_Ax2(X1)
& rf(X0,X1) ) )
& ( ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f77,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ? [X2] :
( ca_Ax2(X2)
& rf(X0,X2) ) )
& ( ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ca_Ax2(sK0(X0))
& rf(X0,sK0(X0)) ) )
& ( ! [X1] :
( ~ ca_Ax2(X1)
| ~ rf(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f77]) ).
fof(f79,plain,
! [X0] :
( ( ~ cp1(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp1(X0) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f80,plain,
! [X0] :
( ( ~ cp1(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp1(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( ~ cp1(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ra_Px1(X0,sK1(X0))
| cp1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ~ cp1xcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cp1xcomp(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f83,plain,
! [X0] :
( ( ~ cp1xcomp(X0)
| ? [X2] : ra_Px1(X0,X2) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cp1xcomp(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ~ cp1xcomp(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cp1xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f83]) ).
fof(f85,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rinvF(X0,X1) ) ) )
& ( ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rinvF(X0,X1) )
| ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f86,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rinvF(X0,X1) ) ) )
& ( ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rinvF(X0,X1) )
| ca_Ax2(X0) ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( cp1(X0)
& ? [X2] :
( ca_Vx3(X2)
& rinvF(X0,X2) ) ) )
& ( ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rinvF(X0,X1) )
| ca_Ax2(X0) ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( ~ ca_Ax2(X0)
| ( cp1(X0)
& ca_Vx3(sK3(X0))
& rinvF(X0,sK3(X0)) ) )
& ( ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rinvF(X0,X1) )
| ca_Ax2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ? [X1] :
( cp1xcomp(X1)
& rf(X0,X1) ) )
& ( ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf(X0,X1) )
| ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f90,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ? [X2] :
( cp1xcomp(X2)
& rf(X0,X2) ) )
& ( ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf(X0,X1) )
| ca_Vx3(X0) ) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ( cp1xcomp(sK4(X0))
& rf(X0,sK4(X0)) ) )
& ( ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf(X0,X1) )
| ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ( ~ rinvF(X0,X1)
| rf(X1,X0) )
& ( ~ rf(X1,X0)
| rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f114,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f117,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK0(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f118,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f119,plain,
! [X0,X1] :
( ~ ca_Ax2(X1)
| ~ rf(X0,X1)
| cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f120,plain,
! [X2,X0] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cp1(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f125,plain,
! [X0] :
( ~ ca_Ax2(X0)
| ca_Vx3(sK3(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f126,plain,
! [X0] :
( ~ ca_Ax2(X0)
| rinvF(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
! [X0] :
( ~ ca_Vx3(X0)
| cp1xcomp(sK4(X0)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f129,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f130,plain,
! [X0,X1] :
( ~ cp1xcomp(X1)
| ~ rf(X0,X1)
| ca_Vx3(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f132,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f137,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf_transformation,[],[f31]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f114]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( cUnsatisfiable(X0)
| ~ ca_Ax2(X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_54,plain,
! [X0: $i] :
( rf(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_55,plain,
! [X0: $i] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_59,plain,
! [X0: $i] :
( ra_Px1(X0,sK2(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_61,plain,
! [X0: $i] :
( rinvF(X0,sK3(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_62,plain,
! [X0: $i] :
( ca_Vx3(sK3(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_63,plain,
! [X0: $i] :
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X0)
| ~ cp1xcomp(X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_65,plain,
! [X0: $i] :
( rf(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_66,plain,
! [X0: $i] :
( cp1xcomp(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_73,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf_transformation,[],[f137]) ).
tcf(c_82,plain,
( ca_Ax2(sK0(i2003_11_14_17_21_48796))
| ~ cUnsatisfiable(i2003_11_14_17_21_48796) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_49,c_67]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(renaming,[status(thm)],[c_96]) ).
tcf(c_105,plain,
! [X0: $i] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_109]) ).
tcf(c_113,plain,
! [X0: $i] :
( ~ ca_Ax2(X0)
| cp1(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
tcf(c_114,plain,
! [X0: $i] :
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(renaming,[status(thm)],[c_113]) ).
tcf(c_119,plain,
! [X0: $i] :
( ra_Px1(X0,sK2(X0))
| ~ cp1xcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_125,plain,
! [X0: $i] :
( rinvF(X0,sK3(X0))
| ~ ca_Ax2(X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_127,plain,
! [X0: $i] :
( ca_Vx3(sK3(X0))
| ~ ca_Ax2(X0) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_69]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cp1xcomp(X1)
| ~ cp1(X0)
| ( X0 != X1 )
| ( sK2(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_110,c_119]) ).
tcf(c_476,plain,
! [X0: $i] :
( ~ cp1xcomp(X0)
| ~ cp1(X0) ),
inference(unflattening,[status(thm)],[c_475]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i] :
( ~ cp1xcomp(X1)
| ~ ca_Ax2(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_476]) ).
tcf(c_548,plain,
! [X0: $i] :
( ~ cp1xcomp(X0)
| ~ ca_Ax2(X0) ),
inference(unflattening,[status(thm)],[c_547]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i,X2: $i] :
( rf(X2,X0)
| ~ ca_Ax2(X1)
| ( X0 != X1 )
| ( sK3(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_125]) ).
tcf(c_567,plain,
! [X0: $i] :
( rf(sK3(X0),X0)
| ~ ca_Ax2(X0) ),
inference(unflattening,[status(thm)],[c_566]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] :
( ~ cp1xcomp(X1)
| ~ cUnsatisfiable(X0)
| ( sK0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_105,c_548]) ).
tcf(c_809,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp1xcomp(sK0(X0)) ),
inference(unflattening,[status(thm)],[c_808]) ).
tcf(c_810,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_48796)
| ~ cp1xcomp(sK0(i2003_11_14_17_21_48796)) ),
inference(instantiation,[status(thm)],[c_809]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(sK3(X1))
| ~ cUnsatisfiable(X0)
| ( sK0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_105,c_127]) ).
tcf(c_818,plain,
! [X0: $i] :
( ca_Vx3(sK3(sK0(X0)))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_817]) ).
tcf(c_819,plain,
( ca_Vx3(sK3(sK0(i2003_11_14_17_21_48796)))
| ~ cUnsatisfiable(i2003_11_14_17_21_48796) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_1485,plain,
! [X0: $i] :
( cUnsatisfiable(sK3(X0))
| ~ ca_Ax2(X0) ),
inference(superposition,[status(thm)],[c_567,c_53]) ).
tcf(c_1495,plain,
! [X0: $i] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X0)
| ~ cp1xcomp(sK0(X0)) ),
inference(superposition,[status(thm)],[c_54,c_64]) ).
tcf(c_1510,plain,
! [X0: $i] :
( ~ cp1xcomp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1495,c_809]) ).
tcf(c_1511,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp1xcomp(sK0(X0)) ),
inference(renaming,[status(thm)],[c_1510]) ).
tcf(c_1542,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_97]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i] :
( ( sK4(X0) = X1 )
| ~ ca_Vx3(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_97]) ).
tcf(c_1566,plain,
! [X0: $i] :
( ( sK0(sK3(X0)) = X0 )
| ~ ca_Ax2(X0)
| ~ cUnsatisfiable(sK3(X0)) ),
inference(superposition,[status(thm)],[c_567,c_1542]) ).
tcf(c_1583,plain,
! [X0: $i] :
( ( sK4(sK3(X0)) = X0 )
| ~ ca_Ax2(X0)
| ~ ca_Vx3(sK3(X0)) ),
inference(superposition,[status(thm)],[c_567,c_1543]) ).
tcf(c_1615,plain,
! [X0: $i] :
( ( sK0(sK3(X0)) = X0 )
| ~ ca_Ax2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1566,c_1485,c_1566]) ).
tcf(c_1622,plain,
! [X0: $i] :
( ( sK0(sK3(sK0(X0))) = sK0(X0) )
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_55,c_1615]) ).
tcf(c_1630,plain,
sK0(sK3(sK0(i2003_11_14_17_21_48796))) = sK0(i2003_11_14_17_21_48796),
inference(superposition,[status(thm)],[c_73,c_1622]) ).
tcf(c_1635,plain,
( ~ cp1xcomp(sK0(i2003_11_14_17_21_48796))
| ~ cUnsatisfiable(sK3(sK0(i2003_11_14_17_21_48796))) ),
inference(superposition,[status(thm)],[c_1630,c_1511]) ).
tcf(c_1637,plain,
( ca_Ax2(sK0(i2003_11_14_17_21_48796))
| ~ cUnsatisfiable(sK3(sK0(i2003_11_14_17_21_48796))) ),
inference(superposition,[status(thm)],[c_1630,c_55]) ).
tcf(c_1646,plain,
~ cp1xcomp(sK0(i2003_11_14_17_21_48796)),
inference(global_subsumption_just,[status(thm)],[c_1635,c_73,c_810]) ).
tcf(c_1648,plain,
ca_Ax2(sK0(i2003_11_14_17_21_48796)),
inference(global_subsumption_just,[status(thm)],[c_1637,c_73,c_82]) ).
tcf(c_1684,plain,
! [X0: $i] :
( ( sK4(sK3(X0)) = X0 )
| ~ ca_Ax2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1583,c_62,c_1583]) ).
tcf(c_1692,plain,
sK4(sK3(sK0(i2003_11_14_17_21_48796))) = sK0(i2003_11_14_17_21_48796),
inference(superposition,[status(thm)],[c_1648,c_1684]) ).
tcf(c_1705,plain,
( cp1xcomp(sK0(i2003_11_14_17_21_48796))
| ~ ca_Vx3(sK3(sK0(i2003_11_14_17_21_48796))) ),
inference(superposition,[status(thm)],[c_1692,c_66]) ).
tcf(c_1706,plain,
~ ca_Vx3(sK3(sK0(i2003_11_14_17_21_48796))),
inference(forward_subsumption_resolution,[status(thm)],[c_1705,c_1646]) ).
tcf(c_1707,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1706,c_819,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Wed Sep 23 19:24:23 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 2.59/1.32 % SZS status Started for theBenchmark.p
% 2.59/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/1.32
% 2.59/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.59/1.32
% 2.59/1.32 % ------ iProver source info
% 2.59/1.32
% 2.59/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 2.59/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.59/1.32 % git: non_committed_changes: false
% 2.59/1.32
% 2.59/1.32 % ------ Parsing...
% 2.59/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.59/1.32
% 2.59/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 2.59/1.32
% 2.59/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.59/1.32
% 2.59/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.59/1.32 % ------ Proving...
% 2.59/1.32 % ------ Problem Properties
% 2.59/1.32
% 2.59/1.32 %
% 2.59/1.32 % clauses 12
% 2.59/1.32 % conjectures 0
% 2.59/1.32 % EPR 6
% 2.59/1.32 % Horn 11
% 2.59/1.32 % unary 1
% 2.59/1.32 % binary 7
% 2.59/1.32 % lits 28
% 2.59/1.32 % lits eq 1
% 2.59/1.32 % fd_pure 0
% 2.59/1.32 % fd_pseudo 0
% 2.59/1.32 % fd_cond 0
% 2.59/1.32 % fd_pseudo_cond 1
% 2.59/1.32 % AC symbols 0
% 2.59/1.32
% 2.59/1.32 % ------ Schedule dynamic 5 is on
% 2.59/1.32
% 2.59/1.32 % ------ no conjectures: strip conj schedule
% 2.59/1.32
% 2.59/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.59/1.32
% 2.59/1.32
% 2.59/1.32 % ------
% 2.59/1.32 % Current options:
% 2.59/1.32 % ------
% 2.59/1.32
% 2.59/1.32
% 2.59/1.32 %
% 2.59/1.32
% 2.59/1.32 % ------ Proving...
% 2.59/1.32 %
% 2.59/1.32
% 2.59/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/1.32
% 2.59/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/1.32
% 2.59/1.32
%------------------------------------------------------------------------------