%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS118+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 : n003.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 3.21s 1.31s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 127 ( 13 unt; 0 def)
% Number of atoms : 379 ( 20 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 435 ( 183 ~; 179 |; 59 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 202 ( 0 sgn 180 !; 22 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cc(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( ccxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( cd(X0)
<=> ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cd(X1)
& rinvF(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [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(f29,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f32,axiom,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f33,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f72,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0] :
( cc(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f27]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ccxcomp(X0)
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) ) ) )
& ( ~ ccxcomp(X0)
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) )
| ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f81,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ccxcomp(X0)
& ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) ) ) )
& ( ~ ccxcomp(X0)
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) )
| ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ccxcomp(X0)
& ? [X4] :
( cd(X4)
& rinvF(X0,X4) )
& ! [X3] :
( ~ rinvR(X0,X3)
| ca_Vx3(X3) ) ) )
& ( ~ ccxcomp(X0)
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) )
| ? [X1] :
( rinvR(X0,X1)
& ~ ca_Vx3(X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ccxcomp(X0)
& cd(sK1(X0))
& rinvF(X0,sK1(X0))
& ! [X3] :
( ~ rinvR(X0,X3)
| ca_Vx3(X3) ) ) )
& ( ~ ccxcomp(X0)
| ! [X2] :
( ~ cd(X2)
| ~ rinvF(X0,X2) )
| ( rinvR(X0,sK0(X0))
& ~ ca_Vx3(sK0(X0)) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X4,sK1(X0))],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ~ cc(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| cc(X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f85,plain,
! [X0] :
( ( ~ cc(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ? [X1] : ra_Px1(X0,X1)
| cc(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ( ~ cc(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ra_Px1(X0,sK2(X0))
| cc(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f85]) ).
fof(f87,plain,
! [X0] :
( ( ~ ccxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f88,plain,
! [X0] :
( ( ~ ccxcomp(X0)
| ? [X2] : ra_Px1(X0,X2) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ccxcomp(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ~ ccxcomp(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ccxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( ~ cd(X0)
| ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) ) )
& ( ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| cd(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f91,plain,
! [X0] :
( ( ~ cd(X0)
| ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) ) )
& ( ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| cd(X0) ) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( ~ cd(X0)
| ( cc(X0)
& ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) ) ) )
& ( ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| cd(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ( ~ cd(X0)
| ( cc(X0)
& ccxcomp(sK4(X0))
& rf(X0,sK4(X0)) ) )
& ( ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) )
| cd(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f92]) ).
fof(f94,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ? [X1] :
( cd(X1)
& rinvF(X0,X1) ) )
& ( ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f95,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ? [X2] :
( cd(X2)
& rinvF(X0,X2) ) )
& ( ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ca_Vx3(X0) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ( ~ ca_Vx3(X0)
| ( cd(sK5(X0))
& rinvF(X0,sK5(X0)) ) )
& ( ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ( ~ rinvF(X0,X1)
| rf(X1,X0) )
& ( ~ rf(X1,X0)
| rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f98,plain,
! [X0,X1] :
( ( ~ rinvR(X0,X1)
| rr(X1,X0) )
& ( ~ rr(X1,X0)
| rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f122,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvF(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
! [X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ rinvR(X0,X3)
| ca_Vx3(X3) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X2,X0] :
( ~ cc(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f129,plain,
! [X0] :
( ra_Px1(X0,sK2(X0))
| cc(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f130,plain,
! [X0] :
( ~ ccxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f131,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f132,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
! [X0] :
( ~ cd(X0)
| ccxcomp(sK4(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X0] :
( ~ cd(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f135,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ ccxcomp(X1)
| ~ rf(X0,X1)
| cd(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
! [X0] :
( ~ ca_Vx3(X0)
| cd(sK5(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f137,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rinvF(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f140,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f141,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f143,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f145,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnf_transformation,[],[f31]) ).
fof(f146,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X1)
| ~ cUnsatisfiable(X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_56,plain,
! [X0: $i] :
( rinvF(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_57,plain,
! [X0: $i] :
( cd(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_58,plain,
! [X0: $i] :
( ccxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_59,plain,
! [X0: $i] :
( cc(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ~ cc(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ccxcomp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_62,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( cd(X0)
| ~ cc(X0)
| ~ ccxcomp(X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_64,plain,
! [X0: $i] :
( rf(X0,sK4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_65,plain,
! [X0: $i] :
( ccxcomp(sK4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_66,plain,
! [X0: $i] :
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_68,plain,
! [X0: $i] :
( rinvF(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_69,plain,
! [X0: $i] :
( cd(sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( rinvF(X1,X0)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( rinvR(X1,X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_76,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnf_transformation,[],[f145]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_87,plain,
( cd(sK1(i2003_11_14_17_21_4056))
| ~ cUnsatisfiable(i2003_11_14_17_21_4056) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_98,plain,
( rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056))
| ~ cUnsatisfiable(i2003_11_14_17_21_4056) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_115,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ccxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( ccxcomp(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_119]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( ~ cc(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_123]) ).
tcf(c_129,plain,
! [X0: $i] :
( ra_Px1(X0,sK2(X0))
| cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_130,plain,
! [X0: $i] :
( cc(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(renaming,[status(thm)],[c_129]) ).
tcf(c_131,plain,
! [X0: $i] :
( ~ cd(X0)
| cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
tcf(c_132,plain,
! [X0: $i] :
( cc(X0)
| ~ cd(X0) ),
inference(renaming,[status(thm)],[c_131]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( rinvR(X1,X0)
| ~ rr(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i,X2: $i] :
( cc(X0)
| ccxcomp(X2)
| ( X0 != X2 )
| ( sK2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_130,c_120]) ).
tcf(c_493,plain,
! [X0: $i] :
( cc(X0)
| ccxcomp(X0) ),
inference(unflattening,[status(thm)],[c_492]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cc(X0)
| ~ ccxcomp(X1)
| ( X0 != X1 )
| ( sK3(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_124,c_115]) ).
tcf(c_506,plain,
! [X0: $i] :
( ~ cc(X0)
| ~ ccxcomp(X0) ),
inference(unflattening,[status(thm)],[c_505]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ccxcomp(X0)
| cd(X1)
| ~ ccxcomp(X2)
| ~ rf(X1,X2)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_493,c_63]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i] :
( ccxcomp(X0)
| cd(X0)
| ~ ccxcomp(X1)
| ~ rf(X0,X1) ),
inference(unflattening,[status(thm)],[c_520]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i] :
( ~ ccxcomp(X1)
| ~ cd(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_506]) ).
tcf(c_535,plain,
! [X0: $i] :
( ~ ccxcomp(X0)
| ~ cd(X0) ),
inference(unflattening,[status(thm)],[c_534]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ca_Vx3(X2)
| ~ cUnsatisfiable(X0)
| ~ rr(X3,X1)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_147]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X1)
| ~ rr(X0,X1) ),
inference(unflattening,[status(thm)],[c_572]) ).
tcf(c_2550,plain,
ccxcomp(i2003_11_14_17_21_4056),
inference(superposition,[status(thm)],[c_76,c_58]) ).
tcf(c_2567,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ cd(sK4(X0)) ),
inference(superposition,[status(thm)],[c_65,c_535]) ).
tcf(c_2587,plain,
! [X0: $i] :
( rinvF(sK4(X0),X0)
| ~ cd(X0) ),
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_2594,plain,
! [X0: $i] :
( rf(sK1(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_56,c_72]) ).
tcf(c_2595,plain,
! [X0: $i] :
( rf(sK5(X0),X0)
| ~ ca_Vx3(X0) ),
inference(superposition,[status(thm)],[c_68,c_72]) ).
tcf(c_2604,plain,
! [X0: $i] :
( rr(X0,sK4(X0))
| ~ cd(X0) ),
inference(superposition,[status(thm)],[c_64,c_77]) ).
tcf(c_2620,plain,
! [X0: $i] :
( rr(sK1(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2594,c_77]) ).
tcf(c_2670,plain,
! [X0: $i] :
( ca_Vx3(X0)
| ~ cd(X0)
| ~ cUnsatisfiable(sK4(X0)) ),
inference(superposition,[status(thm)],[c_2604,c_573]) ).
tcf(c_2671,plain,
! [X0: $i] :
( ca_Vx3(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2620,c_573]) ).
tcf(c_2681,plain,
( ca_Vx3(sK1(i2003_11_14_17_21_4056))
| ~ cUnsatisfiable(i2003_11_14_17_21_4056) ),
inference(instantiation,[status(thm)],[c_2671]) ).
tcf(c_2720,plain,
! [X0: $i,X1: $i] :
( ( sK4(X0) = X1 )
| ~ cd(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_70]) ).
tcf(c_2824,plain,
! [X0: $i] :
( ( sK4(sK1(X0)) = X0 )
| ~ cUnsatisfiable(X0)
| ~ cd(sK1(X0)) ),
inference(superposition,[status(thm)],[c_2594,c_2720]) ).
tcf(c_2825,plain,
! [X0: $i] :
( ( sK4(sK5(X0)) = X0 )
| ~ ca_Vx3(X0)
| ~ cd(sK5(X0)) ),
inference(superposition,[status(thm)],[c_2595,c_2720]) ).
tcf(c_3124,plain,
! [X0: $i] :
( ( sK4(sK1(X0)) = X0 )
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2824,c_57,c_2824]) ).
tcf(c_3131,plain,
sK4(sK1(i2003_11_14_17_21_4056)) = i2003_11_14_17_21_4056,
inference(superposition,[status(thm)],[c_76,c_3124]) ).
tcf(c_3140,plain,
( ca_Vx3(sK1(i2003_11_14_17_21_4056))
| ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| ~ cd(sK1(i2003_11_14_17_21_4056)) ),
inference(superposition,[status(thm)],[c_3131,c_2670]) ).
tcf(c_3143,plain,
( rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056))
| ~ cd(sK1(i2003_11_14_17_21_4056)) ),
inference(superposition,[status(thm)],[c_3131,c_2587]) ).
tcf(c_3153,plain,
( ca_Vx3(sK1(i2003_11_14_17_21_4056))
| ~ cd(sK1(i2003_11_14_17_21_4056)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3140,c_76]) ).
tcf(c_3187,plain,
ca_Vx3(sK1(i2003_11_14_17_21_4056)),
inference(global_subsumption_just,[status(thm)],[c_3153,c_76,c_2681]) ).
tcf(c_3241,plain,
rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056)),
inference(global_subsumption_just,[status(thm)],[c_3143,c_76,c_98]) ).
tcf(c_3245,plain,
rf(sK1(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
inference(superposition,[status(thm)],[c_3241,c_72]) ).
tcf(c_3252,plain,
( ccxcomp(sK1(i2003_11_14_17_21_4056))
| cd(sK1(i2003_11_14_17_21_4056))
| ~ ccxcomp(i2003_11_14_17_21_4056) ),
inference(superposition,[status(thm)],[c_3245,c_521]) ).
tcf(c_3259,plain,
( ccxcomp(sK1(i2003_11_14_17_21_4056))
| cd(sK1(i2003_11_14_17_21_4056)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3252,c_2550]) ).
tcf(c_3262,plain,
cd(sK1(i2003_11_14_17_21_4056)),
inference(global_subsumption_just,[status(thm)],[c_3259,c_76,c_87]) ).
tcf(c_3502,plain,
! [X0: $i] :
( ( sK4(sK5(X0)) = X0 )
| ~ ca_Vx3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2825,c_69,c_2825]) ).
tcf(c_3513,plain,
sK4(sK5(sK1(i2003_11_14_17_21_4056))) = sK1(i2003_11_14_17_21_4056),
inference(superposition,[status(thm)],[c_3187,c_3502]) ).
tcf(c_3604,plain,
( ~ cd(sK1(i2003_11_14_17_21_4056))
| ~ cd(sK5(sK1(i2003_11_14_17_21_4056))) ),
inference(superposition,[status(thm)],[c_3513,c_2567]) ).
tcf(c_3609,plain,
~ cd(sK5(sK1(i2003_11_14_17_21_4056))),
inference(forward_subsumption_resolution,[status(thm)],[c_3604,c_3262]) ).
tcf(c_3610,plain,
~ ca_Vx3(sK1(i2003_11_14_17_21_4056)),
inference(superposition,[status(thm)],[c_69,c_3609]) ).
tcf(c_3611,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3610,c_3187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS118+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 19:27:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.21/1.31 % SZS status Started for theBenchmark.p
% 3.21/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.21/1.31
% 3.21/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.21/1.31
% 3.21/1.31 % ------ iProver source info
% 3.21/1.31
% 3.21/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.21/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.21/1.31 % git: non_committed_changes: false
% 3.21/1.31
% 3.21/1.31 % ------ Parsing...
% 3.21/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.21/1.31
% 3.21/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 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 %
% 3.21/1.31
% 3.21/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.21/1.31
% 3.21/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.21/1.31 % ------ Proving...
% 3.21/1.31 % ------ Problem Properties
% 3.21/1.31
% 3.21/1.31 %
% 3.21/1.31 % clauses 19
% 3.21/1.31 % conjectures 0
% 3.21/1.31 % EPR 11
% 3.21/1.31 % Horn 17
% 3.21/1.31 % unary 1
% 3.21/1.31 % binary 11
% 3.21/1.31 % lits 49
% 3.21/1.31 % lits eq 1
% 3.21/1.31 % fd_pure 0
% 3.21/1.31 % fd_pseudo 0
% 3.21/1.31 % fd_cond 0
% 3.21/1.31 % fd_pseudo_cond 1
% 3.21/1.31 % AC symbols 0
% 3.21/1.31
% 3.21/1.31 % ------ Schedule dynamic 5 is on
% 3.21/1.31
% 3.21/1.31 % ------ no conjectures: strip conj schedule
% 3.21/1.31
% 3.21/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.21/1.31
% 3.21/1.31
% 3.21/1.31 % ------
% 3.21/1.31 % Current options:
% 3.21/1.31 % ------
% 3.21/1.31
% 3.21/1.31
% 3.21/1.31 %
% 3.21/1.31
% 3.21/1.31 % ------ Proving...
% 3.21/1.31 %
% 3.21/1.31
% 3.21/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.21/1.31
% 3.21/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.21/1.31
% 3.21/1.31
%------------------------------------------------------------------------------