TSTP Solution File: KRS080+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 02:33:33 EDT 2024
% Result : Unsatisfiable 3.50s 1.14s
% Output : CNFRefutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 14
% Syntax : Number of formulae : 157 ( 12 unt; 0 def)
% Number of atoms : 912 ( 322 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 1068 ( 313 ~; 496 |; 237 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 265 ( 0 sgn 116 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X3,X4) )
& ? [X4] :
( cp3(X4)
& cp(X4)
& rr(X3,X4) )
& ? [X4] :
( cp3(X4)
& rr(X3,X4) )
& ? [X4] :
( cp2(X4)
& rr(X3,X4) )
& ! [X5,X6,X7,X8] :
( ( rr(X3,X8)
& rr(X3,X7)
& rr(X3,X6)
& rr(X3,X5) )
=> ( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6 ) )
& ? [X4] :
( cp4(X4)
& rr(X3,X4) )
& ? [X4] :
( cp1(X4)
& rr(X3,X4) )
& ? [X4] :
( cp1(X4)
& cp(X4)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f17,axiom,
! [X3] :
( cp1(X3)
=> ~ ( cp3(X3)
| cp5(X3)
| cp4(X3)
| cp2(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X3] :
( cp2(X3)
=> ~ ( cp3(X3)
| cp5(X3)
| cp4(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f19,axiom,
! [X3] :
( cp3(X3)
=> ~ ( cp5(X3)
| cp4(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f24,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X2] :
( cp3(X2)
& cp(X2)
& rr(X0,X2) )
& ? [X3] :
( cp3(X3)
& rr(X0,X3) )
& ? [X4] :
( cp2(X4)
& rr(X0,X4) )
& ! [X5,X6,X7,X8] :
( ( rr(X0,X8)
& rr(X0,X7)
& rr(X0,X6)
& rr(X0,X5) )
=> ( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6 ) )
& ? [X9] :
( cp4(X9)
& rr(X0,X9) )
& ? [X10] :
( cp1(X10)
& rr(X0,X10) )
& ? [X11] :
( cp1(X11)
& cp(X11)
& rr(X0,X11) ) ) ),
inference(rectify,[],[f16]) ).
fof(f25,plain,
! [X0] :
( cp1(X0)
=> ~ ( cp3(X0)
| cp5(X0)
| cp4(X0)
| cp2(X0) ) ),
inference(rectify,[],[f17]) ).
fof(f26,plain,
! [X0] :
( cp2(X0)
=> ~ ( cp3(X0)
| cp5(X0)
| cp4(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f27,plain,
! [X0] :
( cp3(X0)
=> ~ ( cp5(X0)
| cp4(X0) ) ),
inference(rectify,[],[f19]) ).
fof(f55,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X2] :
( cp3(X2)
& cp(X2)
& rr(X0,X2) )
& ? [X3] :
( cp3(X3)
& rr(X0,X3) )
& ? [X4] :
( cp2(X4)
& rr(X0,X4) )
& ! [X5,X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X9] :
( cp4(X9)
& rr(X0,X9) )
& ? [X10] :
( cp1(X10)
& rr(X0,X10) )
& ? [X11] :
( cp1(X11)
& cp(X11)
& rr(X0,X11) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f56,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X2] :
( cp3(X2)
& cp(X2)
& rr(X0,X2) )
& ? [X3] :
( cp3(X3)
& rr(X0,X3) )
& ? [X4] :
( cp2(X4)
& rr(X0,X4) )
& ! [X5,X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X9] :
( cp4(X9)
& rr(X0,X9) )
& ? [X10] :
( cp1(X10)
& rr(X0,X10) )
& ? [X11] :
( cp1(X11)
& cp(X11)
& rr(X0,X11) ) ) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ( ~ cp3(X0)
& ~ cp5(X0)
& ~ cp4(X0)
& ~ cp2(X0) )
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f58,plain,
! [X0] :
( ( ~ cp3(X0)
& ~ cp5(X0)
& ~ cp4(X0) )
| ~ cp2(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0] :
( ( ~ cp5(X0)
& ~ cp4(X0) )
| ~ cp3(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f61,plain,
! [X0] :
( sP0(X0)
<=> ! [X5,X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f62,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X2] :
( cp3(X2)
& cp(X2)
& rr(X0,X2) )
& ? [X3] :
( cp3(X3)
& rr(X0,X3) )
& ? [X4] :
( cp2(X4)
& rr(X0,X4) )
& sP0(X0)
& ? [X9] :
( cp4(X9)
& rr(X0,X9) )
& ? [X10] :
( cp1(X10)
& rr(X0,X10) )
& ? [X11] :
( cp1(X11)
& cp(X11)
& rr(X0,X11) ) ) ),
inference(definition_folding,[],[f56,f61]) ).
fof(f64,plain,
! [X0] :
( ( sP0(X0)
| ? [X5,X6,X7,X8] :
( X7 != X8
& X6 != X8
& X6 != X7
& X5 != X8
& X5 != X7
& X5 != X6
& rr(X0,X8)
& rr(X0,X7)
& rr(X0,X6)
& rr(X0,X5) ) )
& ( ! [X5,X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f65,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3,X4] :
( X3 != X4
& X2 != X4
& X2 != X3
& X1 != X4
& X1 != X3
& X1 != X2
& rr(X0,X4)
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X5,X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ? [X1,X2,X3,X4] :
( X3 != X4
& X2 != X4
& X2 != X3
& X1 != X4
& X1 != X3
& X1 != X2
& rr(X0,X4)
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK3(X0) != sK4(X0)
& sK2(X0) != sK4(X0)
& sK2(X0) != sK3(X0)
& sK1(X0) != sK4(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK2(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( sP0(X0)
| ( sK3(X0) != sK4(X0)
& sK2(X0) != sK4(X0)
& sK2(X0) != sK3(X0)
& sK1(X0) != sK4(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK2(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) ) )
& ( ! [X5,X6,X7,X8] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f65,f66]) ).
fof(f68,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ cp2(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp3(X2)
| ~ cp(X2)
| ~ rr(X0,X2) )
| ! [X3] :
( ~ cp3(X3)
| ~ rr(X0,X3) )
| ! [X4] :
( ~ cp2(X4)
| ~ rr(X0,X4) )
| ~ sP0(X0)
| ! [X9] :
( ~ cp4(X9)
| ~ rr(X0,X9) )
| ! [X10] :
( ~ cp1(X10)
| ~ rr(X0,X10) )
| ! [X11] :
( ~ cp1(X11)
| ~ cp(X11)
| ~ rr(X0,X11) ) )
& ( ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X2] :
( cp3(X2)
& cp(X2)
& rr(X0,X2) )
& ? [X3] :
( cp3(X3)
& rr(X0,X3) )
& ? [X4] :
( cp2(X4)
& rr(X0,X4) )
& sP0(X0)
& ? [X9] :
( cp4(X9)
& rr(X0,X9) )
& ? [X10] :
( cp1(X10)
& rr(X0,X10) )
& ? [X11] :
( cp1(X11)
& cp(X11)
& rr(X0,X11) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f69,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ cp2(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp3(X2)
| ~ cp(X2)
| ~ rr(X0,X2) )
| ! [X3] :
( ~ cp3(X3)
| ~ rr(X0,X3) )
| ! [X4] :
( ~ cp2(X4)
| ~ rr(X0,X4) )
| ~ sP0(X0)
| ! [X9] :
( ~ cp4(X9)
| ~ rr(X0,X9) )
| ! [X10] :
( ~ cp1(X10)
| ~ rr(X0,X10) )
| ! [X11] :
( ~ cp1(X11)
| ~ cp(X11)
| ~ rr(X0,X11) ) )
& ( ( ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X2] :
( cp3(X2)
& cp(X2)
& rr(X0,X2) )
& ? [X3] :
( cp3(X3)
& rr(X0,X3) )
& ? [X4] :
( cp2(X4)
& rr(X0,X4) )
& sP0(X0)
& ? [X9] :
( cp4(X9)
& rr(X0,X9) )
& ? [X10] :
( cp1(X10)
& rr(X0,X10) )
& ? [X11] :
( cp1(X11)
& cp(X11)
& rr(X0,X11) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ cp2(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp3(X2)
| ~ cp(X2)
| ~ rr(X0,X2) )
| ! [X3] :
( ~ cp3(X3)
| ~ rr(X0,X3) )
| ! [X4] :
( ~ cp2(X4)
| ~ rr(X0,X4) )
| ~ sP0(X0)
| ! [X5] :
( ~ cp4(X5)
| ~ rr(X0,X5) )
| ! [X6] :
( ~ cp1(X6)
| ~ rr(X0,X6) )
| ! [X7] :
( ~ cp1(X7)
| ~ cp(X7)
| ~ rr(X0,X7) ) )
& ( ( ? [X8] :
( cp(X8)
& cp2(X8)
& rr(X0,X8) )
& ? [X9] :
( cp3(X9)
& cp(X9)
& rr(X0,X9) )
& ? [X10] :
( cp3(X10)
& rr(X0,X10) )
& ? [X11] :
( cp2(X11)
& rr(X0,X11) )
& sP0(X0)
& ? [X12] :
( cp4(X12)
& rr(X0,X12) )
& ? [X13] :
( cp1(X13)
& rr(X0,X13) )
& ? [X14] :
( cp1(X14)
& cp(X14)
& rr(X0,X14) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ? [X8] :
( cp(X8)
& cp2(X8)
& rr(X0,X8) )
=> ( cp(sK5(X0))
& cp2(sK5(X0))
& rr(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X9] :
( cp3(X9)
& cp(X9)
& rr(X0,X9) )
=> ( cp3(sK6(X0))
& cp(sK6(X0))
& rr(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X10] :
( cp3(X10)
& rr(X0,X10) )
=> ( cp3(sK7(X0))
& rr(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X11] :
( cp2(X11)
& rr(X0,X11) )
=> ( cp2(sK8(X0))
& rr(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ? [X12] :
( cp4(X12)
& rr(X0,X12) )
=> ( cp4(sK9(X0))
& rr(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X13] :
( cp1(X13)
& rr(X0,X13) )
=> ( cp1(sK10(X0))
& rr(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X14] :
( cp1(X14)
& cp(X14)
& rr(X0,X14) )
=> ( cp1(sK11(X0))
& cp(sK11(X0))
& rr(X0,sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ cp2(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp3(X2)
| ~ cp(X2)
| ~ rr(X0,X2) )
| ! [X3] :
( ~ cp3(X3)
| ~ rr(X0,X3) )
| ! [X4] :
( ~ cp2(X4)
| ~ rr(X0,X4) )
| ~ sP0(X0)
| ! [X5] :
( ~ cp4(X5)
| ~ rr(X0,X5) )
| ! [X6] :
( ~ cp1(X6)
| ~ rr(X0,X6) )
| ! [X7] :
( ~ cp1(X7)
| ~ cp(X7)
| ~ rr(X0,X7) ) )
& ( ( cp(sK5(X0))
& cp2(sK5(X0))
& rr(X0,sK5(X0))
& cp3(sK6(X0))
& cp(sK6(X0))
& rr(X0,sK6(X0))
& cp3(sK7(X0))
& rr(X0,sK7(X0))
& cp2(sK8(X0))
& rr(X0,sK8(X0))
& sP0(X0)
& cp4(sK9(X0))
& rr(X0,sK9(X0))
& cp1(sK10(X0))
& rr(X0,sK10(X0))
& cp1(sK11(X0))
& cp(sK11(X0))
& rr(X0,sK11(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f70,f77,f76,f75,f74,f73,f72,f71]) ).
fof(f96,plain,
! [X0,X8,X6,X7,X5] :
( X7 = X8
| X6 = X8
| X6 = X7
| X5 = X8
| X5 = X7
| X5 = X6
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| ~ rr(X0,X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f107,plain,
! [X0] :
( rr(X0,sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f109,plain,
! [X0] :
( cp1(sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f110,plain,
! [X0] :
( rr(X0,sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f111,plain,
! [X0] :
( cp1(sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f112,plain,
! [X0] :
( rr(X0,sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f113,plain,
! [X0] :
( cp4(sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f114,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f115,plain,
! [X0] :
( rr(X0,sK8(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f116,plain,
! [X0] :
( cp2(sK8(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f117,plain,
! [X0] :
( rr(X0,sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f118,plain,
! [X0] :
( cp3(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f119,plain,
! [X0] :
( rr(X0,sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f121,plain,
! [X0] :
( cp3(sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f122,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f123,plain,
! [X0] :
( cp2(sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f126,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f127,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f129,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f130,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f132,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f133,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f136,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[],[f21]) ).
cnf(c_63,plain,
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ rr(X0,X4)
| ~ sP0(X0)
| X1 = X2
| X1 = X3
| X1 = X4
| X2 = X3
| X2 = X4
| X3 = X4 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_66,plain,
( ~ cUnsatisfiable(X0)
| cp2(sK5(X0)) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_67,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_68,plain,
( ~ cUnsatisfiable(X0)
| cp3(sK6(X0)) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_70,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_71,plain,
( ~ cUnsatisfiable(X0)
| cp3(sK7(X0)) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_72,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_73,plain,
( ~ cUnsatisfiable(X0)
| cp2(sK8(X0)) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_74,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_75,plain,
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_76,plain,
( ~ cUnsatisfiable(X0)
| cp4(sK9(X0)) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_77,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_78,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK10(X0)) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_79,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_80,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK11(X0)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_82,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_83,plain,
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_85,plain,
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_86,plain,
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_87,plain,
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_89,plain,
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_91,plain,
( ~ cp3(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_93,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[],[f136]) ).
cnf(c_109,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp1(sK11(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_113,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp3(sK7(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_116,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp2(sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_127,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK7(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_129,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_197,plain,
( ~ cUnsatisfiable(X0)
| cp4(sK9(X0)) ),
inference(prop_impl_just,[status(thm)],[c_76]) ).
cnf(c_215,plain,
( ~ cp3(X0)
| ~ cp4(X0) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
cnf(c_223,plain,
( ~ cp1(X0)
| ~ cp4(X0) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_224,plain,
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(renaming,[status(thm)],[c_223]) ).
cnf(c_241,plain,
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(prop_impl_just,[status(thm)],[c_89]) ).
cnf(c_242,plain,
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(renaming,[status(thm)],[c_241]) ).
cnf(c_874,plain,
( sK9(X0) != X1
| ~ cUnsatisfiable(X0)
| ~ cp3(X1) ),
inference(resolution_lifted,[status(thm)],[c_197,c_215]) ).
cnf(c_875,plain,
( ~ cp3(sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_874]) ).
cnf(c_883,plain,
( sK9(X0) != X1
| ~ cUnsatisfiable(X0)
| ~ cp2(X1) ),
inference(resolution_lifted,[status(thm)],[c_197,c_242]) ).
cnf(c_884,plain,
( ~ cp2(sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_883]) ).
cnf(c_892,plain,
( sK9(X0) != X1
| ~ cUnsatisfiable(X0)
| ~ cp1(X1) ),
inference(resolution_lifted,[status(thm)],[c_197,c_224]) ).
cnf(c_893,plain,
( ~ cp1(sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(unflattening,[status(thm)],[c_892]) ).
cnf(c_3756,plain,
sP0(i2003_11_14_17_19_21224),
inference(superposition,[status(thm)],[c_93,c_75]) ).
cnf(c_3818,plain,
( ~ cp1(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_71,c_83]) ).
cnf(c_3823,plain,
( ~ cp1(sK7(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_3818]) ).
cnf(c_3841,plain,
( ~ cp2(sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_68,c_87]) ).
cnf(c_3842,plain,
( ~ cp2(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_71,c_87]) ).
cnf(c_3847,plain,
( ~ cp2(sK7(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_3842]) ).
cnf(c_3848,plain,
( ~ cp2(sK6(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[c_3841]) ).
cnf(c_3959,plain,
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ sP0(X0)
| ~ cUnsatisfiable(X0)
| sK5(X0) = X1
| sK5(X0) = X2
| sK5(X0) = X3
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(superposition,[status(thm)],[c_67,c_63]) ).
cnf(c_4082,plain,
( ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0)
| sK5(X0) = X1
| sK5(X0) = X2
| sK5(X0) = X3
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(global_subsumption_just,[status(thm)],[c_3959,c_75,c_3959]) ).
cnf(c_4083,plain,
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ cUnsatisfiable(X0)
| sK5(X0) = X1
| sK5(X0) = X2
| sK5(X0) = X3
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(renaming,[status(thm)],[c_4082]) ).
cnf(c_4109,plain,
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0)
| sK5(X0) = sK6(X0)
| sK5(X0) = X1
| sK5(X0) = X2
| sK6(X0) = X1
| sK6(X0) = X2
| X1 = X2 ),
inference(superposition,[status(thm)],[c_70,c_4083]) ).
cnf(c_4233,plain,
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X0)
| sK5(X0) = sK6(X0)
| sK5(X0) = sK7(X0)
| sK5(X0) = X1
| sK6(X0) = sK7(X0)
| sK6(X0) = X1
| sK7(X0) = X1 ),
inference(superposition,[status(thm)],[c_72,c_4109]) ).
cnf(c_4342,plain,
( ~ cUnsatisfiable(X0)
| sK5(X0) = sK6(X0)
| sK5(X0) = sK7(X0)
| sK5(X0) = sK8(X0)
| sK6(X0) = sK7(X0)
| sK6(X0) = sK8(X0)
| sK7(X0) = sK8(X0) ),
inference(superposition,[status(thm)],[c_74,c_4233]) ).
cnf(c_4343,plain,
( ~ cUnsatisfiable(X0)
| sK5(X0) = sK6(X0)
| sK5(X0) = sK7(X0)
| sK5(X0) = sK9(X0)
| sK6(X0) = sK7(X0)
| sK6(X0) = sK9(X0)
| sK7(X0) = sK9(X0) ),
inference(superposition,[status(thm)],[c_77,c_4233]) ).
cnf(c_4428,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_93,c_4342]) ).
cnf(c_4452,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| cp2(sK7(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4428,c_73]) ).
cnf(c_4453,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| cp2(sK7(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4452,c_93]) ).
cnf(c_4467,plain,
( sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ),
inference(global_subsumption_just,[status(thm)],[c_4453,c_93,c_3847,c_4453]) ).
cnf(c_4468,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ),
inference(renaming,[status(thm)],[c_4467]) ).
cnf(c_4480,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| cp2(sK6(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4468,c_73]) ).
cnf(c_4481,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| cp2(sK6(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4480,c_93]) ).
cnf(c_4497,plain,
( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ),
inference(global_subsumption_just,[status(thm)],[c_4481,c_93,c_3848,c_4481]) ).
cnf(c_4498,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ),
inference(renaming,[status(thm)],[c_4497]) ).
cnf(c_4507,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4498,c_74]) ).
cnf(c_4508,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| cp2(sK5(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4498,c_73]) ).
cnf(c_4509,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| cp2(sK5(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4508,c_93]) ).
cnf(c_4514,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4507,c_93]) ).
cnf(c_4519,plain,
cp2(sK5(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_4509,c_93,c_116]) ).
cnf(c_4521,plain,
rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_4514,c_93,c_129]) ).
cnf(c_4525,plain,
( ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ sP0(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = X0
| sK5(i2003_11_14_17_19_21224) = X1
| sK5(i2003_11_14_17_19_21224) = X2
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(superposition,[status(thm)],[c_4521,c_63]) ).
cnf(c_4527,plain,
( ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X2)
| sK5(i2003_11_14_17_19_21224) = X0
| sK5(i2003_11_14_17_19_21224) = X1
| sK5(i2003_11_14_17_19_21224) = X2
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4525,c_3756]) ).
cnf(c_4551,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_93,c_4343]) ).
cnf(c_4579,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK7(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_4551,c_77]) ).
cnf(c_4581,plain,
( sK5(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK7(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4579,c_93]) ).
cnf(c_4637,plain,
rr(i2003_11_14_17_19_21224,sK7(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_4581,c_93,c_127]) ).
cnf(c_5239,plain,
( ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = X0
| sK5(i2003_11_14_17_19_21224) = X1
| sK11(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X1
| X0 = X1 ),
inference(superposition,[status(thm)],[c_82,c_4527]) ).
cnf(c_5243,plain,
( ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X1)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = X0
| sK5(i2003_11_14_17_19_21224) = X1
| sK11(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5239,c_93]) ).
cnf(c_5312,plain,
( ~ rr(i2003_11_14_17_19_21224,X0)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = X0
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X0 ),
inference(superposition,[status(thm)],[c_4637,c_5243]) ).
cnf(c_5414,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_77,c_5312]) ).
cnf(c_5415,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_79,c_5312]) ).
cnf(c_5420,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5415,c_93]) ).
cnf(c_5427,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5414,c_93]) ).
cnf(c_5458,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| cp1(sK7(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5420,c_78]) ).
cnf(c_5459,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| cp1(sK7(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5458,c_93]) ).
cnf(c_5476,plain,
( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ),
inference(global_subsumption_just,[status(thm)],[c_5459,c_93,c_3823,c_5459]) ).
cnf(c_5477,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(renaming,[status(thm)],[c_5476]) ).
cnf(c_5490,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| cp1(sK11(i2003_11_14_17_19_21224)) ),
inference(superposition,[status(thm)],[c_5477,c_78]) ).
cnf(c_5491,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| cp1(sK11(i2003_11_14_17_19_21224)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5490,c_93]) ).
cnf(c_5509,plain,
cp1(sK11(i2003_11_14_17_19_21224)),
inference(global_subsumption_just,[status(thm)],[c_5491,c_93,c_109]) ).
cnf(c_5511,plain,
~ cp2(sK11(i2003_11_14_17_19_21224)),
inference(superposition,[status(thm)],[c_5509,c_86]) ).
cnf(c_5575,plain,
( ~ cp3(sK7(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5427,c_875]) ).
cnf(c_5578,plain,
( ~ cp3(sK7(i2003_11_14_17_19_21224))
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5575,c_93]) ).
cnf(c_5629,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(global_subsumption_just,[status(thm)],[c_5578,c_93,c_113,c_5578]) ).
cnf(c_5641,plain,
( ~ cp1(sK11(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5629,c_893]) ).
cnf(c_5652,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5641,c_93,c_5509]) ).
cnf(c_5894,plain,
( ~ cp2(sK5(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5652,c_884]) ).
cnf(c_5903,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5894,c_93,c_4519]) ).
cnf(c_5918,plain,
( ~ cp1(sK11(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5903,c_3818]) ).
cnf(c_5927,plain,
( sK5(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5918,c_93,c_5509]) ).
cnf(c_5935,plain,
( ~ cp2(sK5(i2003_11_14_17_19_21224))
| ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
inference(superposition,[status(thm)],[c_5927,c_3842]) ).
cnf(c_5947,plain,
sK5(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224),
inference(forward_subsumption_resolution,[status(thm)],[c_5935,c_93,c_4519]) ).
cnf(c_5949,plain,
~ cp2(sK5(i2003_11_14_17_19_21224)),
inference(demodulation,[status(thm)],[c_5511,c_5947]) ).
cnf(c_5951,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5949,c_4519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 22:57:58 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 3.50/1.14 % SZS status Started for theBenchmark.p
% 3.50/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.14
% 3.50/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.50/1.14
% 3.50/1.14 ------ iProver source info
% 3.50/1.14
% 3.50/1.14 git: date: 2024-05-02 19:28:25 +0000
% 3.50/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.50/1.14 git: non_committed_changes: false
% 3.50/1.14
% 3.50/1.14 ------ Parsing...
% 3.50/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.50/1.14
% 3.50/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.50/1.14
% 3.50/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.50/1.14
% 3.50/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.50/1.14 ------ Proving...
% 3.50/1.14 ------ Problem Properties
% 3.50/1.14
% 3.50/1.14
% 3.50/1.14 clauses 36
% 3.50/1.14 conjectures 0
% 3.50/1.14 EPR 6
% 3.50/1.14 Horn 31
% 3.50/1.14 unary 1
% 3.50/1.14 binary 33
% 3.50/1.14 lits 97
% 3.50/1.14 lits eq 12
% 3.50/1.14 fd_pure 0
% 3.50/1.14 fd_pseudo 0
% 3.50/1.14 fd_cond 0
% 3.50/1.14 fd_pseudo_cond 1
% 3.50/1.14 AC symbols 0
% 3.50/1.14
% 3.50/1.14 ------ Schedule dynamic 5 is on
% 3.50/1.14
% 3.50/1.14 ------ no conjectures: strip conj schedule
% 3.50/1.14
% 3.50/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.50/1.14
% 3.50/1.14
% 3.50/1.14 ------
% 3.50/1.14 Current options:
% 3.50/1.14 ------
% 3.50/1.14
% 3.50/1.14
% 3.50/1.14
% 3.50/1.14
% 3.50/1.14 ------ Proving...
% 3.50/1.14
% 3.50/1.14
% 3.50/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.14
% 3.50/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.14
% 3.50/1.14
%------------------------------------------------------------------------------