TSTP Solution File: KRS112+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:33:39 EDT 2024
% Result : Unsatisfiable 0.43s 1.13s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 9 unt; 0 def)
% Number of atoms : 353 ( 25 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 396 ( 159 ~; 143 |; 64 &)
% ( 14 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 215 ( 4 sgn 125 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cp(X4)
& rf(X3,X4) )
& ? [X4] :
( ca_Ax2(X4)
& rf1(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f27,axiom,
! [X3] :
( cp(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f28,axiom,
! [X3] :
( cpxcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f29,axiom,
! [X3] :
( ca_Ax2(X3)
<=> ( ! [X4] :
( rinvF1(X3,X4)
=> ca_Vx3(X4) )
& cpxcomp(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f30,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( cowlThing(X4)
& rs(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f31,axiom,
! [X3,X4,X6] :
( ( rf(X3,X6)
& rf(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f32,axiom,
! [X3,X4,X6] :
( ( rf1(X3,X6)
& rf1(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f34,axiom,
! [X3,X4] :
( rinvF1(X3,X4)
<=> rf1(X4,X3) ),
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,
! [X3,X4] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f39,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f42,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) ) ),
inference(rectify,[],[f26]) ).
fof(f43,plain,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f44,plain,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f45,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvF1(X0,X1)
=> ca_Vx3(X1) )
& cpxcomp(X0) ) ),
inference(rectify,[],[f29]) ).
fof(f46,plain,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f31]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f32]) ).
fof(f50,plain,
! [X0,X1] :
( rinvF1(X0,X1)
<=> rf1(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f54,plain,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
inference(rectify,[],[f39]) ).
fof(f101,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f102,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) )
& cpxcomp(X0) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f103,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f104,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f106,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(flattening,[],[f105]) ).
fof(f109,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f110,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f112,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rf1(X0,X2) ) )
& ( ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f113,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rf1(X0,X2) ) )
& ( ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rf1(X0,X2) ) )
& ( ( ? [X3] :
( cp(X3)
& rf(X0,X3) )
& ? [X4] :
( ca_Ax2(X4)
& rf1(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ? [X3] :
( cp(X3)
& rf(X0,X3) )
=> ( cp(sK0(X0))
& rf(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ? [X4] :
( ca_Ax2(X4)
& rf1(X0,X4) )
=> ( ca_Ax2(sK1(X0))
& rf1(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rf1(X0,X2) ) )
& ( ( cp(sK0(X0))
& rf(X0,sK0(X0))
& ca_Ax2(sK1(X0))
& rf1(X0,sK1(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f114,f116,f115]) ).
fof(f118,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f119,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f119,f120]) ).
fof(f122,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f123,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f123,f124]) ).
fof(f126,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f127,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X2] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) )
=> ( ~ ca_Vx3(sK4(X0))
& rinvF1(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ( ca_Ax2(X0)
| ( ~ ca_Vx3(sK4(X0))
& rinvF1(X0,sK4(X0)) )
| ~ cpxcomp(X0) )
& ( ( ! [X2] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f128,f129]) ).
fof(f131,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ? [X1] :
( cowlThing(X1)
& rs(X0,X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f132,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
=> ( cowlThing(sK5(X0))
& rs(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ( cowlThing(sK5(X0))
& rs(X0,sK5(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f132,f133]) ).
fof(f136,plain,
! [X0,X1] :
( ( rinvF1(X0,X1)
| ~ rf1(X1,X0) )
& ( rf1(X1,X0)
| ~ rinvF1(X0,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f165,plain,
! [X0] :
( rf1(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f166,plain,
! [X0] :
( ca_Ax2(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f167,plain,
! [X0] :
( rf(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f168,plain,
! [X0] :
( cp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f170,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f172,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f174,plain,
! [X0] :
( cpxcomp(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f175,plain,
! [X2,X0] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f178,plain,
! [X0] :
( rs(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f181,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f182,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f186,plain,
! [X0,X1] :
( rinvF1(X0,X1)
| ~ rf1(X1,X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f190,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f37]) ).
fof(f191,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f192,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_54,plain,
( ~ cUnsatisfiable(X0)
| cp(sK0(X0)) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_55,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_56,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK1(X0)) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_57,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_59,plain,
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_61,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_64,plain,
( ~ rinvF1(X0,X1)
| ~ ca_Ax2(X0)
| ca_Vx3(X1) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_65,plain,
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_68,plain,
( ~ ca_Vx3(X0)
| rs(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_69,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_70,plain,
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_73,plain,
( ~ rf1(X0,X1)
| rinvF1(X1,X0) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_78,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f190]) ).
cnf(c_79,plain,
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_80,plain,
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_115,plain,
( ~ cUnsatisfiable(X0)
| cp(sK0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_127,plain,
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_128,plain,
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_135,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_139,plain,
( cpxcomp(X0)
| ~ ca_Ax2(X0) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_140,plain,
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(renaming,[status(thm)],[c_139]) ).
cnf(c_155,plain,
( ~ rf1(X0,X1)
| rinvF1(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
cnf(c_538,plain,
( sK3(X1) != X2
| X0 != X1
| ~ cp(X0)
| ~ cpxcomp(X1) ),
inference(resolution_lifted,[status(thm)],[c_128,c_135]) ).
cnf(c_539,plain,
( ~ cp(X0)
| ~ cpxcomp(X0) ),
inference(unflattening,[status(thm)],[c_538]) ).
cnf(c_626,plain,
( X0 != X1
| X2 != X3
| ~ rf1(X3,X1)
| ~ ca_Ax2(X0)
| ca_Vx3(X2) ),
inference(resolution_lifted,[status(thm)],[c_64,c_155]) ).
cnf(c_627,plain,
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1)
| ca_Vx3(X0) ),
inference(unflattening,[status(thm)],[c_626]) ).
cnf(c_786,plain,
( X0 != X1
| ~ cp(X1)
| ~ ca_Ax2(X0) ),
inference(resolution_lifted,[status(thm)],[c_140,c_539]) ).
cnf(c_787,plain,
( ~ cp(X0)
| ~ ca_Ax2(X0) ),
inference(unflattening,[status(thm)],[c_786]) ).
cnf(c_1035,plain,
( sK0(X0) != X1
| ~ cUnsatisfiable(X0)
| ~ ca_Ax2(X1) ),
inference(resolution_lifted,[status(thm)],[c_115,c_787]) ).
cnf(c_1036,plain,
( ~ ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_1035]) ).
cnf(c_1037,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_19256))
| ~ cUnsatisfiable(i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[c_1036]) ).
cnf(c_2104,plain,
( ~ ca_Vx3(X0)
| rf(X0,sK5(X0)) ),
inference(superposition,[status(thm)],[c_68,c_79]) ).
cnf(c_2112,plain,
( ~ ca_Vx3(X0)
| rf1(X0,sK5(X0)) ),
inference(superposition,[status(thm)],[c_68,c_80]) ).
cnf(c_2122,plain,
( ~ rf(X0,X1)
| ~ cUnsatisfiable(X0)
| sK0(X0) = X1 ),
inference(superposition,[status(thm)],[c_55,c_69]) ).
cnf(c_2133,plain,
( ~ rf1(X0,X1)
| ~ cUnsatisfiable(X0)
| sK1(X0) = X1 ),
inference(superposition,[status(thm)],[c_57,c_70]) ).
cnf(c_2189,plain,
( ~ ca_Ax2(sK1(X0))
| ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(superposition,[status(thm)],[c_57,c_627]) ).
cnf(c_2196,plain,
( ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2189,c_56,c_2189]) ).
cnf(c_2203,plain,
ca_Vx3(i2003_11_14_17_21_19256),
inference(superposition,[status(thm)],[c_78,c_2196]) ).
cnf(c_2222,plain,
( ~ cUnsatisfiable(X0)
| ~ ca_Vx3(X0)
| sK0(X0) = sK5(X0) ),
inference(superposition,[status(thm)],[c_2104,c_2122]) ).
cnf(c_2253,plain,
( ~ cUnsatisfiable(X0)
| sK0(X0) = sK5(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2222,c_56,c_2189,c_2222]) ).
cnf(c_2260,plain,
sK0(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256),
inference(superposition,[status(thm)],[c_78,c_2253]) ).
cnf(c_2261,plain,
( ~ ca_Vx3(i2003_11_14_17_21_19256)
| rf1(i2003_11_14_17_21_19256,sK0(i2003_11_14_17_21_19256)) ),
inference(superposition,[status(thm)],[c_2260,c_2112]) ).
cnf(c_2266,plain,
rf1(i2003_11_14_17_21_19256,sK0(i2003_11_14_17_21_19256)),
inference(forward_subsumption_resolution,[status(thm)],[c_2261,c_2203]) ).
cnf(c_2302,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| sK0(i2003_11_14_17_21_19256) = sK1(i2003_11_14_17_21_19256) ),
inference(superposition,[status(thm)],[c_2266,c_2133]) ).
cnf(c_2304,plain,
sK0(i2003_11_14_17_21_19256) = sK1(i2003_11_14_17_21_19256),
inference(forward_subsumption_resolution,[status(thm)],[c_2302,c_78]) ).
cnf(c_2309,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ca_Ax2(sK0(i2003_11_14_17_21_19256)) ),
inference(superposition,[status(thm)],[c_2304,c_56]) ).
cnf(c_2310,plain,
ca_Ax2(sK0(i2003_11_14_17_21_19256)),
inference(forward_subsumption_resolution,[status(thm)],[c_2309,c_78]) ).
cnf(c_2311,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2310,c_1037,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:26:34 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.43/1.13 % SZS status Started for theBenchmark.p
% 0.43/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.13
% 0.43/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.13
% 0.43/1.13 ------ iProver source info
% 0.43/1.13
% 0.43/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.13 git: non_committed_changes: false
% 0.43/1.13
% 0.43/1.13 ------ Parsing...
% 0.43/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.43/1.13
% 0.43/1.13 ------ 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
% 0.43/1.13
% 0.43/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.43/1.13
% 0.43/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/1.13 ------ Proving...
% 0.43/1.13 ------ Problem Properties
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 clauses 17
% 0.43/1.13 conjectures 0
% 0.43/1.13 EPR 10
% 0.43/1.13 Horn 15
% 0.43/1.13 unary 1
% 0.43/1.13 binary 9
% 0.43/1.13 lits 42
% 0.43/1.13 lits eq 3
% 0.43/1.13 fd_pure 0
% 0.43/1.13 fd_pseudo 0
% 0.43/1.13 fd_cond 0
% 0.43/1.13 fd_pseudo_cond 3
% 0.43/1.13 AC symbols 0
% 0.43/1.13
% 0.43/1.13 ------ Schedule dynamic 5 is on
% 0.43/1.13
% 0.43/1.13 ------ no conjectures: strip conj schedule
% 0.43/1.13
% 0.43/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 ------
% 0.43/1.13 Current options:
% 0.43/1.13 ------
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 ------ Proving...
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.13
% 0.43/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.13
% 0.43/1.13
%------------------------------------------------------------------------------