TSTP Solution File: KRS118+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS118+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:33:40 EDT 2024
% Result : Unsatisfiable 3.12s 1.02s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 141 ( 13 unt; 0 def)
% Number of atoms : 419 ( 21 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 464 ( 186 ~; 179 |; 71 &)
% ( 16 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% 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 : 231 ( 8 sgn 119 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ccxcomp(X3)
& ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
& ! [X4] :
( rinvR(X3,X4)
=> ca_Vx3(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X3] :
( cc(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X3] :
( ccxcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X3] :
( cd(X3)
<=> ( cc(X3)
& ? [X4] :
( ccxcomp(X4)
& rf(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( cd(X4)
& rinvF(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X3,X4,X6] :
( ( rf(X3,X6)
& rf(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f29,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f32,axiom,
! [X3,X4] :
( rf(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( rinvR(X0,X2)
=> ca_Vx3(X2) ) ) ),
inference(rectify,[],[f22]) ).
fof(f36,plain,
! [X0] :
( cc(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f37,plain,
! [X0] :
( ccxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f38,plain,
! [X0] :
( cd(X0)
<=> ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f39,plain,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cd(X1)
& rinvF(X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f27]) ).
fof(f41,plain,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f42,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f44,plain,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f83,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f84,plain,
! [X0] :
( cc(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f85,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f86,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f89,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f91,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) ) )
& ( ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f92,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) ) )
& ( ( ccxcomp(X0)
& ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvR(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) ) )
& ( ( ccxcomp(X0)
& ? [X3] :
( cd(X3)
& rinvF(X0,X3) )
& ! [X4] :
( ca_Vx3(X4)
| ~ rinvR(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ? [X2] :
( ~ ca_Vx3(X2)
& rinvR(X0,X2) )
=> ( ~ ca_Vx3(sK0(X0))
& rinvR(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ? [X3] :
( cd(X3)
& rinvF(X0,X3) )
=> ( cd(sK1(X0))
& rinvF(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ ccxcomp(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| ( ~ ca_Vx3(sK0(X0))
& rinvR(X0,sK0(X0)) ) )
& ( ( ccxcomp(X0)
& cd(sK1(X0))
& rinvF(X0,sK1(X0))
& ! [X4] :
( ca_Vx3(X4)
| ~ rinvR(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f93,f95,f94]) ).
fof(f97,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cc(X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f98,plain,
! [X0] :
( ( cc(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ( cc(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cc(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f98,f99]) ).
fof(f101,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ ccxcomp(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f102,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ ccxcomp(X0) ) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ( ccxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f102,f103]) ).
fof(f105,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,[],[f38]) ).
fof(f106,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X1] :
( ccxcomp(X1)
& rf(X0,X1) ) )
| ~ cd(X0) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) ) )
| ~ cd(X0) ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ? [X2] :
( ccxcomp(X2)
& rf(X0,X2) )
=> ( ccxcomp(sK4(X0))
& rf(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ ccxcomp(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ccxcomp(sK4(X0))
& rf(X0,sK4(X0)) )
| ~ cd(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f107,f108]) ).
fof(f110,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f111,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
=> ( cd(sK5(X0))
& rinvF(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ( cd(sK5(X0))
& rinvF(X0,sK5(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f111,f112]) ).
fof(f114,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f115,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f139,plain,
! [X0,X4] :
( ca_Vx3(X4)
| ~ rinvR(X0,X4)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f140,plain,
! [X0] :
( rinvF(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f141,plain,
! [X0] :
( cd(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f142,plain,
! [X0] :
( ccxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f145,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f146,plain,
! [X0] :
( cc(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f147,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ ccxcomp(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f148,plain,
! [X0,X1] :
( ccxcomp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f149,plain,
! [X0] :
( rf(X0,sK4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f150,plain,
! [X0] :
( ccxcomp(sK4(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f151,plain,
! [X0] :
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f152,plain,
! [X0,X1] :
( cd(X0)
| ~ cc(X0)
| ~ ccxcomp(X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f153,plain,
! [X0] :
( rinvF(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f154,plain,
! [X0] :
( cd(sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f156,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f157,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f158,plain,
! [X0,X1] :
( rinvF(X0,X1)
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f160,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f162,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnf_transformation,[],[f31]) ).
fof(f163,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_55,plain,
( ~ cUnsatisfiable(X0)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_56,plain,
( ~ cUnsatisfiable(X0)
| cd(sK1(X0)) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_57,plain,
( ~ cUnsatisfiable(X0)
| rinvF(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_58,plain,
( ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0)
| ca_Vx3(X1) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_59,plain,
( ra_Px1(X0,sK2(X0))
| cc(X0) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_60,plain,
( ~ ra_Px1(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_61,plain,
( ~ ra_Px1(X0,X1)
| ccxcomp(X0) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_62,plain,
( ~ ccxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_63,plain,
( ~ rf(X0,X1)
| ~ ccxcomp(X1)
| ~ cc(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_64,plain,
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_65,plain,
( ~ cd(X0)
| ccxcomp(sK4(X0)) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_66,plain,
( ~ cd(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_68,plain,
( ~ ca_Vx3(X0)
| cd(sK5(X0)) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_69,plain,
( ~ ca_Vx3(X0)
| rinvF(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_70,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_71,plain,
( ~ rf(X0,X1)
| rinvF(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_72,plain,
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_73,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_76,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnf_transformation,[],[f162]) ).
cnf(c_77,plain,
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_87,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| cd(sK1(i2003_11_14_17_21_4056)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_98,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_113,plain,
( ~ ccxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
cnf(c_117,plain,
( ccxcomp(X0)
| ~ ra_Px1(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_118,plain,
( ~ ra_Px1(X0,X1)
| ccxcomp(X0) ),
inference(renaming,[status(thm)],[c_117]) ).
cnf(c_123,plain,
( ~ cc(X0)
| ~ ra_Px1(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
cnf(c_124,plain,
( ~ ra_Px1(X0,X1)
| ~ cc(X0) ),
inference(renaming,[status(thm)],[c_123]) ).
cnf(c_125,plain,
( cc(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_126,plain,
( ra_Px1(X0,sK2(X0))
| cc(X0) ),
inference(renaming,[status(thm)],[c_125]) ).
cnf(c_127,plain,
( cc(X0)
| ~ cd(X0) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
cnf(c_128,plain,
( ~ cd(X0)
| cc(X0) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_151,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
cnf(c_492,plain,
( sK2(X0) != X1
| X0 != X2
| ccxcomp(X2)
| cc(X0) ),
inference(resolution_lifted,[status(thm)],[c_126,c_118]) ).
cnf(c_493,plain,
( ccxcomp(X0)
| cc(X0) ),
inference(unflattening,[status(thm)],[c_492]) ).
cnf(c_505,plain,
( sK3(X1) != X2
| X0 != X1
| ~ ccxcomp(X1)
| ~ cc(X0) ),
inference(resolution_lifted,[status(thm)],[c_124,c_113]) ).
cnf(c_506,plain,
( ~ ccxcomp(X0)
| ~ cc(X0) ),
inference(unflattening,[status(thm)],[c_505]) ).
cnf(c_520,plain,
( X0 != X1
| ~ rf(X1,X2)
| ~ ccxcomp(X2)
| ccxcomp(X0)
| cd(X1) ),
inference(resolution_lifted,[status(thm)],[c_493,c_63]) ).
cnf(c_521,plain,
( ~ rf(X0,X1)
| ~ ccxcomp(X1)
| ccxcomp(X0)
| cd(X0) ),
inference(unflattening,[status(thm)],[c_520]) ).
cnf(c_534,plain,
( X0 != X1
| ~ ccxcomp(X1)
| ~ cd(X0) ),
inference(resolution_lifted,[status(thm)],[c_128,c_506]) ).
cnf(c_535,plain,
( ~ ccxcomp(X0)
| ~ cd(X0) ),
inference(unflattening,[status(thm)],[c_534]) ).
cnf(c_572,plain,
( X0 != X1
| X2 != X3
| ~ rr(X3,X1)
| ~ cUnsatisfiable(X0)
| ca_Vx3(X2) ),
inference(resolution_lifted,[status(thm)],[c_58,c_151]) ).
cnf(c_573,plain,
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X1)
| ca_Vx3(X0) ),
inference(unflattening,[status(thm)],[c_572]) ).
cnf(c_2550,plain,
ccxcomp(i2003_11_14_17_21_4056),
inference(superposition,[status(thm)],[c_76,c_55]) ).
cnf(c_2567,plain,
( ~ cd(sK4(X0))
| ~ cd(X0) ),
inference(superposition,[status(thm)],[c_65,c_535]) ).
cnf(c_2587,plain,
( ~ cd(X0)
| rinvF(sK4(X0),X0) ),
inference(superposition,[status(thm)],[c_66,c_71]) ).
cnf(c_2594,plain,
( ~ cUnsatisfiable(X0)
| rf(sK1(X0),X0) ),
inference(superposition,[status(thm)],[c_57,c_72]) ).
cnf(c_2595,plain,
( ~ ca_Vx3(X0)
| rf(sK5(X0),X0) ),
inference(superposition,[status(thm)],[c_69,c_72]) ).
cnf(c_2604,plain,
( ~ cd(X0)
| rr(X0,sK4(X0)) ),
inference(superposition,[status(thm)],[c_66,c_77]) ).
cnf(c_2620,plain,
( ~ cUnsatisfiable(X0)
| rr(sK1(X0),X0) ),
inference(superposition,[status(thm)],[c_2594,c_77]) ).
cnf(c_2670,plain,
( ~ cUnsatisfiable(sK4(X0))
| ~ cd(X0)
| ca_Vx3(X0) ),
inference(superposition,[status(thm)],[c_2604,c_573]) ).
cnf(c_2671,plain,
( ~ cUnsatisfiable(X0)
| ca_Vx3(sK1(X0)) ),
inference(superposition,[status(thm)],[c_2620,c_573]) ).
cnf(c_2681,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| ca_Vx3(sK1(i2003_11_14_17_21_4056)) ),
inference(instantiation,[status(thm)],[c_2671]) ).
cnf(c_2720,plain,
( ~ rf(X0,X1)
| ~ cd(X0)
| sK4(X0) = X1 ),
inference(superposition,[status(thm)],[c_66,c_70]) ).
cnf(c_2842,plain,
( ~ cd(sK1(X0))
| ~ cUnsatisfiable(X0)
| sK4(sK1(X0)) = X0 ),
inference(superposition,[status(thm)],[c_2594,c_2720]) ).
cnf(c_2843,plain,
( ~ cd(sK5(X0))
| ~ ca_Vx3(X0)
| sK4(sK5(X0)) = X0 ),
inference(superposition,[status(thm)],[c_2595,c_2720]) ).
cnf(c_3066,plain,
( ~ cUnsatisfiable(X0)
| sK4(sK1(X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_2842,c_56,c_2842]) ).
cnf(c_3073,plain,
sK4(sK1(i2003_11_14_17_21_4056)) = i2003_11_14_17_21_4056,
inference(superposition,[status(thm)],[c_76,c_3066]) ).
cnf(c_3083,plain,
( ~ cd(sK1(i2003_11_14_17_21_4056))
| ~ cUnsatisfiable(i2003_11_14_17_21_4056)
| ca_Vx3(sK1(i2003_11_14_17_21_4056)) ),
inference(superposition,[status(thm)],[c_3073,c_2670]) ).
cnf(c_3086,plain,
( ~ cd(sK1(i2003_11_14_17_21_4056))
| rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056)) ),
inference(superposition,[status(thm)],[c_3073,c_2587]) ).
cnf(c_3096,plain,
( ~ cd(sK1(i2003_11_14_17_21_4056))
| ca_Vx3(sK1(i2003_11_14_17_21_4056)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3083,c_76]) ).
cnf(c_3116,plain,
ca_Vx3(sK1(i2003_11_14_17_21_4056)),
inference(global_subsumption_just,[status(thm)],[c_3096,c_76,c_2681]) ).
cnf(c_3159,plain,
rinvF(i2003_11_14_17_21_4056,sK1(i2003_11_14_17_21_4056)),
inference(global_subsumption_just,[status(thm)],[c_3086,c_76,c_98]) ).
cnf(c_3164,plain,
rf(sK1(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
inference(superposition,[status(thm)],[c_3159,c_72]) ).
cnf(c_3171,plain,
( ~ ccxcomp(i2003_11_14_17_21_4056)
| ccxcomp(sK1(i2003_11_14_17_21_4056))
| cd(sK1(i2003_11_14_17_21_4056)) ),
inference(superposition,[status(thm)],[c_3164,c_521]) ).
cnf(c_3178,plain,
( ccxcomp(sK1(i2003_11_14_17_21_4056))
| cd(sK1(i2003_11_14_17_21_4056)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3171,c_2550]) ).
cnf(c_3185,plain,
cd(sK1(i2003_11_14_17_21_4056)),
inference(global_subsumption_just,[status(thm)],[c_3178,c_76,c_87]) ).
cnf(c_3400,plain,
( ~ ca_Vx3(X0)
| sK4(sK5(X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_2843,c_68,c_2843]) ).
cnf(c_3411,plain,
sK4(sK5(sK1(i2003_11_14_17_21_4056))) = sK1(i2003_11_14_17_21_4056),
inference(superposition,[status(thm)],[c_3116,c_3400]) ).
cnf(c_3540,plain,
( ~ cd(sK5(sK1(i2003_11_14_17_21_4056)))
| ~ cd(sK1(i2003_11_14_17_21_4056)) ),
inference(superposition,[status(thm)],[c_3411,c_2567]) ).
cnf(c_3545,plain,
~ cd(sK5(sK1(i2003_11_14_17_21_4056))),
inference(forward_subsumption_resolution,[status(thm)],[c_3540,c_3185]) ).
cnf(c_3546,plain,
~ ca_Vx3(sK1(i2003_11_14_17_21_4056)),
inference(superposition,[status(thm)],[c_68,c_3545]) ).
cnf(c_3547,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3546,c_3116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS118+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.07 % Command : run_iprover %s %d THM
% 0.06/0.25 % Computer : n007.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Thu May 2 22:29:05 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.10/0.32 Running first-order theorem proving
% 0.10/0.32 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.12/1.02 % SZS status Started for theBenchmark.p
% 3.12/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.02
% 3.12/1.02 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.12/1.02
% 3.12/1.02 ------ iProver source info
% 3.12/1.02
% 3.12/1.02 git: date: 2024-05-02 19:28:25 +0000
% 3.12/1.02 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.12/1.02 git: non_committed_changes: false
% 3.12/1.02
% 3.12/1.02 ------ Parsing...
% 3.12/1.02 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.12/1.02
% 3.12/1.02 ------ 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
% 3.12/1.02
% 3.12/1.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.12/1.02
% 3.12/1.02 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.12/1.02 ------ Proving...
% 3.12/1.02 ------ Problem Properties
% 3.12/1.02
% 3.12/1.02
% 3.12/1.02 clauses 19
% 3.12/1.02 conjectures 0
% 3.12/1.02 EPR 11
% 3.12/1.02 Horn 17
% 3.12/1.02 unary 1
% 3.12/1.02 binary 11
% 3.12/1.02 lits 49
% 3.12/1.02 lits eq 1
% 3.12/1.02 fd_pure 0
% 3.12/1.02 fd_pseudo 0
% 3.12/1.02 fd_cond 0
% 3.12/1.02 fd_pseudo_cond 1
% 3.12/1.02 AC symbols 0
% 3.12/1.02
% 3.12/1.02 ------ Schedule dynamic 5 is on
% 3.12/1.02
% 3.12/1.02 ------ no conjectures: strip conj schedule
% 3.12/1.02
% 3.12/1.02 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.12/1.02
% 3.12/1.02
% 3.12/1.02 ------
% 3.12/1.02 Current options:
% 3.12/1.02 ------
% 3.12/1.02
% 3.12/1.02
% 3.12/1.02
% 3.12/1.02
% 3.12/1.02 ------ Proving...
% 3.12/1.02
% 3.12/1.02
% 3.12/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.02
% 3.12/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/1.02
% 3.12/1.02
%------------------------------------------------------------------------------