%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS117+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 : n015.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 2.31s 1.29s
% Output : CNFRefutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 132 ( 15 unt; 0 def)
% Number of atoms : 394 ( 22 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 454 ( 192 ~; 187 |; 60 &)
% ( 10 <=>; 5 =>; 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 : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 211 ( 0 sgn 189 !; 22 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ccxcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cc(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( ccxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( cd(X0)
<=> ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cd(X1)
& rinvF(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f29,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_37349),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f32,axiom,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f33,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ! [X1] :
( rinvR(X0,X1)
=> ca_Vx3(X1) )
& ccxcomp(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f72,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ! [X1] :
( ~ rinvR(X0,X1)
| ca_Vx3(X1) )
& ccxcomp(X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0] :
( cc(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f74,plain,
! [X0] :
( ~ cowlThing(X0)
| ! [X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f75,plain,
! [X0] :
( ~ cowlThing(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)
| ( ? [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) )
| ~ ccxcomp(X0)
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f81,plain,
! [X0] :
( ( ~ cUnsatisfiable(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) )
| ~ ccxcomp(X0)
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ~ cUnsatisfiable(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) )
| ~ ccxcomp(X0)
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( ~ cUnsatisfiable(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)) )
| ~ ccxcomp(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(f119,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f122,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvF(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ rinvR(X0,X3)
| ca_Vx3(X3) ),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ccxcomp(X0) ),
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] :
( ~ cowlThing(X0)
| ~ 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_37349),
inference(cnf_transformation,[],[f31]) ).
fof(f146,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f119]) ).
tcf(c_55,plain,
! [X0: $i] :
( ccxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X1)
| ~ cUnsatisfiable(X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_57,plain,
! [X0: $i] :
( rinvF(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_58,plain,
! [X0: $i] :
( cd(sK1(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 )
| ~ cowlThing(X0)
| ~ 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_37349),
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_37349))
| ~ cUnsatisfiable(i2003_11_14_17_21_37349) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_98,plain,
( rinvF(i2003_11_14_17_21_37349,sK1(i2003_11_14_17_21_37349))
| ~ cUnsatisfiable(i2003_11_14_17_21_37349) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_49,c_70]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(renaming,[status(thm)],[c_103]) ).
tcf(c_116,plain,
! [X0: $i] :
( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ccxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( ccxcomp(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_120]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ~ cc(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_126]) ).
tcf(c_132,plain,
! [X0: $i] :
( ra_Px1(X0,sK2(X0))
| cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_133,plain,
! [X0: $i] :
( cc(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(renaming,[status(thm)],[c_132]) ).
tcf(c_134,plain,
! [X0: $i] :
( ~ cd(X0)
| cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
tcf(c_135,plain,
! [X0: $i] :
( cc(X0)
| ~ cd(X0) ),
inference(renaming,[status(thm)],[c_134]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( rinvR(X1,X0)
| ~ rr(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i,X2: $i] :
( cc(X0)
| ccxcomp(X2)
| ( X0 != X2 )
| ( sK2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_133,c_121]) ).
tcf(c_496,plain,
! [X0: $i] :
( cc(X0)
| ccxcomp(X0) ),
inference(unflattening,[status(thm)],[c_495]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cc(X0)
| ~ ccxcomp(X1)
| ( X0 != X1 )
| ( sK3(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_127,c_116]) ).
tcf(c_509,plain,
! [X0: $i] :
( ~ cc(X0)
| ~ ccxcomp(X0) ),
inference(unflattening,[status(thm)],[c_508]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i] :
( cd(X1)
| ccxcomp(X0)
| ~ ccxcomp(X2)
| ~ rf(X1,X2)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_496,c_63]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] :
( cd(X0)
| ccxcomp(X0)
| ~ ccxcomp(X1)
| ~ rf(X0,X1) ),
inference(unflattening,[status(thm)],[c_523]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i] :
( ~ cd(X0)
| ~ ccxcomp(X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_135,c_509]) ).
tcf(c_538,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ ccxcomp(X0) ),
inference(unflattening,[status(thm)],[c_537]) ).
tcf(c_575,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_56,c_150]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X1)
| ~ rr(X0,X1) ),
inference(unflattening,[status(thm)],[c_575]) ).
tcf(c_2553,plain,
ccxcomp(i2003_11_14_17_21_37349),
inference(superposition,[status(thm)],[c_76,c_55]) ).
tcf(c_2570,plain,
! [X0: $i] :
( ~ cd(X0)
| ~ cd(sK4(X0)) ),
inference(superposition,[status(thm)],[c_65,c_538]) ).
tcf(c_2590,plain,
! [X0: $i] :
( rinvF(sK4(X0),X0)
| ~ cd(X0) ),
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_2597,plain,
! [X0: $i] :
( rf(sK1(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_57,c_72]) ).
tcf(c_2598,plain,
! [X0: $i] :
( rf(sK5(X0),X0)
| ~ ca_Vx3(X0) ),
inference(superposition,[status(thm)],[c_68,c_72]) ).
tcf(c_2607,plain,
! [X0: $i] :
( rr(X0,sK4(X0))
| ~ cd(X0) ),
inference(superposition,[status(thm)],[c_64,c_77]) ).
tcf(c_2623,plain,
! [X0: $i] :
( rr(sK1(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2597,c_77]) ).
tcf(c_2673,plain,
! [X0: $i] :
( ca_Vx3(X0)
| ~ cd(X0)
| ~ cUnsatisfiable(sK4(X0)) ),
inference(superposition,[status(thm)],[c_2607,c_576]) ).
tcf(c_2674,plain,
! [X0: $i] :
( ca_Vx3(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2623,c_576]) ).
tcf(c_2684,plain,
( ca_Vx3(sK1(i2003_11_14_17_21_37349))
| ~ cUnsatisfiable(i2003_11_14_17_21_37349) ),
inference(instantiation,[status(thm)],[c_2674]) ).
tcf(c_2806,plain,
! [X0: $i,X1: $i] :
( ( sK4(X0) = X1 )
| ~ cd(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_104]) ).
tcf(c_2831,plain,
! [X0: $i] :
( ( sK4(sK1(X0)) = X0 )
| ~ cUnsatisfiable(X0)
| ~ cd(sK1(X0)) ),
inference(superposition,[status(thm)],[c_2597,c_2806]) ).
tcf(c_2832,plain,
! [X0: $i] :
( ( sK4(sK5(X0)) = X0 )
| ~ ca_Vx3(X0)
| ~ cd(sK5(X0)) ),
inference(superposition,[status(thm)],[c_2598,c_2806]) ).
tcf(c_3127,plain,
! [X0: $i] :
( ( sK4(sK1(X0)) = X0 )
| ~ cUnsatisfiable(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2831,c_58,c_2831]) ).
tcf(c_3134,plain,
sK4(sK1(i2003_11_14_17_21_37349)) = i2003_11_14_17_21_37349,
inference(superposition,[status(thm)],[c_76,c_3127]) ).
tcf(c_3143,plain,
( ca_Vx3(sK1(i2003_11_14_17_21_37349))
| ~ cUnsatisfiable(i2003_11_14_17_21_37349)
| ~ cd(sK1(i2003_11_14_17_21_37349)) ),
inference(superposition,[status(thm)],[c_3134,c_2673]) ).
tcf(c_3146,plain,
( rinvF(i2003_11_14_17_21_37349,sK1(i2003_11_14_17_21_37349))
| ~ cd(sK1(i2003_11_14_17_21_37349)) ),
inference(superposition,[status(thm)],[c_3134,c_2590]) ).
tcf(c_3156,plain,
( ca_Vx3(sK1(i2003_11_14_17_21_37349))
| ~ cd(sK1(i2003_11_14_17_21_37349)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3143,c_76]) ).
tcf(c_3190,plain,
ca_Vx3(sK1(i2003_11_14_17_21_37349)),
inference(global_subsumption_just,[status(thm)],[c_3156,c_76,c_2684]) ).
tcf(c_3244,plain,
rinvF(i2003_11_14_17_21_37349,sK1(i2003_11_14_17_21_37349)),
inference(global_subsumption_just,[status(thm)],[c_3146,c_76,c_98]) ).
tcf(c_3248,plain,
rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(superposition,[status(thm)],[c_3244,c_72]) ).
tcf(c_3256,plain,
( cd(sK1(i2003_11_14_17_21_37349))
| ccxcomp(sK1(i2003_11_14_17_21_37349))
| ~ ccxcomp(i2003_11_14_17_21_37349) ),
inference(superposition,[status(thm)],[c_3248,c_524]) ).
tcf(c_3260,plain,
( cd(sK1(i2003_11_14_17_21_37349))
| ccxcomp(sK1(i2003_11_14_17_21_37349)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3256,c_2553]) ).
tcf(c_3265,plain,
cd(sK1(i2003_11_14_17_21_37349)),
inference(global_subsumption_just,[status(thm)],[c_3260,c_76,c_87]) ).
tcf(c_3641,plain,
! [X0: $i] :
( ( sK4(sK5(X0)) = X0 )
| ~ ca_Vx3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2832,c_69,c_2832]) ).
tcf(c_3652,plain,
sK4(sK5(sK1(i2003_11_14_17_21_37349))) = sK1(i2003_11_14_17_21_37349),
inference(superposition,[status(thm)],[c_3190,c_3641]) ).
tcf(c_3748,plain,
( ~ cd(sK1(i2003_11_14_17_21_37349))
| ~ cd(sK5(sK1(i2003_11_14_17_21_37349))) ),
inference(superposition,[status(thm)],[c_3652,c_2570]) ).
tcf(c_3753,plain,
~ cd(sK5(sK1(i2003_11_14_17_21_37349))),
inference(forward_subsumption_resolution,[status(thm)],[c_3748,c_3265]) ).
tcf(c_3977,plain,
~ ca_Vx3(sK1(i2003_11_14_17_21_37349)),
inference(superposition,[status(thm)],[c_69,c_3753]) ).
tcf(c_3978,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3977,c_3190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS117+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 19:29:24 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.31/1.29 % SZS status Started for theBenchmark.p
% 2.31/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/1.29
% 2.31/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.31/1.29
% 2.31/1.29 % ------ iProver source info
% 2.31/1.29
% 2.31/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.31/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.31/1.29 % git: non_committed_changes: false
% 2.31/1.29
% 2.31/1.29 % ------ Parsing...
% 2.31/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.31/1.29
% 2.31/1.29 % ------ 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 %
% 2.31/1.29
% 2.31/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.31/1.29
% 2.31/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.31/1.29 % ------ Proving...
% 2.31/1.29 % ------ Problem Properties
% 2.31/1.29
% 2.31/1.29 %
% 2.31/1.29 % clauses 19
% 2.31/1.29 % conjectures 0
% 2.31/1.29 % EPR 11
% 2.31/1.29 % Horn 17
% 2.31/1.29 % unary 1
% 2.31/1.29 % binary 11
% 2.31/1.29 % lits 49
% 2.31/1.29 % lits eq 1
% 2.31/1.29 % fd_pure 0
% 2.31/1.29 % fd_pseudo 0
% 2.31/1.29 % fd_cond 0
% 2.31/1.29 % fd_pseudo_cond 1
% 2.31/1.29 % AC symbols 0
% 2.31/1.29
% 2.31/1.29 % ------ Schedule dynamic 5 is on
% 2.31/1.29
% 2.31/1.29 % ------ no conjectures: strip conj schedule
% 2.31/1.29
% 2.31/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.31/1.29
% 2.31/1.29
% 2.31/1.29 % ------
% 2.31/1.29 % Current options:
% 2.31/1.29 % ------
% 2.31/1.29
% 2.31/1.29
% 2.31/1.29 %
% 2.31/1.29
% 2.31/1.29 % ------ Proving...
% 2.31/1.29 %
% 2.31/1.29
% 2.31/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/1.29
% 2.31/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.31/1.29
% 2.31/1.29
%------------------------------------------------------------------------------