TSTP Solution File: KRS098+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:33:36 EDT 2024
% Result : Unsatisfiable 1.84s 1.19s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 134 ( 16 unt; 0 def)
% Number of atoms : 539 ( 84 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 639 ( 234 ~; 211 |; 164 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 316 ( 0 sgn 156 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( ? [X5] :
( cc(X5)
& rt1(X4,X5) )
& ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr1(X3,X4) )
& ~ ? [X8,X9] :
( X8 != X9
& rr(X3,X9)
& rr(X3,X8) )
& ? [X4] :
( ? [X5] :
( cd(X5)
& rt2(X4,X5) )
& ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& rr2(X3,X4) )
& ? [X4] :
( ! [X6,X7] :
( ( rtt(X4,X7)
& rtt(X4,X6) )
=> X6 = X7 )
& ? [X5] :
( ce(X5)
& rt3(X4,X5) )
& rr3(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f31,axiom,
! [X3] :
~ ( cd(X3)
& cc(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f34,axiom,
! [X3,X4] :
( rr1(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f35,axiom,
! [X3,X4] :
( rr2(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f36,axiom,
! [X3,X4] :
( rt1(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f37,axiom,
! [X3,X4] :
( rt2(X3,X4)
=> rtt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f42,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( ( rtt(X1,X4)
& rtt(X1,X3) )
=> X3 = X4 )
& rr1(X0,X1) )
& ~ ? [X5,X6] :
( X5 != X6
& rr(X0,X6)
& rr(X0,X5) )
& ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( ( rtt(X7,X10)
& rtt(X7,X9) )
=> X9 = X10 )
& rr2(X0,X7) )
& ? [X11] :
( ! [X12,X13] :
( ( rtt(X11,X13)
& rtt(X11,X12) )
=> X12 = X13 )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ) ),
inference(rectify,[],[f28]) ).
fof(f44,plain,
! [X0] :
~ ( cd(X0)
& cc(X0) ),
inference(rectify,[],[f31]) ).
fof(f47,plain,
! [X0,X1] :
( rr1(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f48,plain,
! [X0,X1] :
( rr2(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f49,plain,
! [X0,X1] :
( rt1(X0,X1)
=> rtt(X0,X1) ),
inference(rectify,[],[f36]) ).
fof(f50,plain,
! [X0,X1] :
( rt2(X0,X1)
=> rtt(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f103,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) )
& ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f104,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) )
& ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f108,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr1(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f109,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f110,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f111,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f114,plain,
! [X0] :
( sP0(X0)
<=> ? [X11] :
( ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X13)
| ~ rtt(X11,X12) )
& ? [X14] :
( ce(X14)
& rt3(X11,X14) )
& rr3(X0,X11) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f115,plain,
! [X0] :
( sP1(X0)
<=> ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f116,plain,
! [X0] :
( sP2(X0)
<=> ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f117,plain,
! [X0] :
( sP3(X0)
<=> ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& sP2(X0)
& sP1(X0)
& sP0(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f118,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP3(X0) ),
inference(definition_folding,[],[f104,f117,f116,f115,f114]) ).
fof(f120,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr1(X0,X1) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f121,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr1(X0,X1) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( ? [X2] :
( cc(X2)
& rt1(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X4)
| ~ rtt(X1,X3) )
& rr1(X0,X1) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr1(X0,X1) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X5] :
( ? [X6] :
( cc(X6)
& rt1(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr1(X0,X5) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X1] :
( ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
=> ( sK4(X1) != sK5(X1)
& rtt(X1,sK5(X1))
& rtt(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ? [X5] :
( ? [X6] :
( cc(X6)
& rt1(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr1(X0,X5) )
=> ( ? [X6] :
( cc(X6)
& rt1(sK6(X0),X6) )
& ! [X8,X7] :
( X7 = X8
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7) )
& rr1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X6] :
( cc(X6)
& rt1(sK6(X0),X6) )
=> ( cc(sK7(X0))
& rt1(sK6(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ! [X2] :
( ~ cc(X2)
| ~ rt1(X1,X2) )
| ( sK4(X1) != sK5(X1)
& rtt(X1,sK5(X1))
& rtt(X1,sK4(X1)) )
| ~ rr1(X0,X1) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( cc(sK7(X0))
& rt1(sK6(X0),sK7(X0))
& ! [X7,X8] :
( X7 = X8
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7) )
& rr1(X0,sK6(X0))
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f122,f125,f124,f123]) ).
fof(f127,plain,
! [X0] :
( ( sP2(X0)
| ? [X5,X6] :
( X5 != X6
& rr(X0,X6)
& rr(X0,X5) ) )
& ( ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f128,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK8(X0) != sK9(X0)
& rr(X0,sK9(X0))
& rr(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ( sP2(X0)
| ( sK8(X0) != sK9(X0)
& rr(X0,sK9(X0))
& rr(X0,sK8(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f128,f129]) ).
fof(f131,plain,
! [X0] :
( ( sP1(X0)
| ! [X7] :
( ! [X8] :
( ~ cd(X8)
| ~ rt2(X7,X8) )
| ? [X9,X10] :
( X9 != X10
& rtt(X7,X10)
& rtt(X7,X9) )
| ~ rr2(X0,X7) ) )
& ( ? [X7] :
( ? [X8] :
( cd(X8)
& rt2(X7,X8) )
& ! [X9,X10] :
( X9 = X10
| ~ rtt(X7,X10)
| ~ rtt(X7,X9) )
& rr2(X0,X7) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f132,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rt2(X1,X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
| ~ rr2(X0,X1) ) )
& ( ? [X5] :
( ? [X6] :
( cd(X6)
& rt2(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr2(X0,X5) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
! [X1] :
( ? [X3,X4] :
( X3 != X4
& rtt(X1,X4)
& rtt(X1,X3) )
=> ( sK10(X1) != sK11(X1)
& rtt(X1,sK11(X1))
& rtt(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X5] :
( ? [X6] :
( cd(X6)
& rt2(X5,X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X8)
| ~ rtt(X5,X7) )
& rr2(X0,X5) )
=> ( ? [X6] :
( cd(X6)
& rt2(sK12(X0),X6) )
& ! [X8,X7] :
( X7 = X8
| ~ rtt(sK12(X0),X8)
| ~ rtt(sK12(X0),X7) )
& rr2(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X6] :
( cd(X6)
& rt2(sK12(X0),X6) )
=> ( cd(sK13(X0))
& rt2(sK12(X0),sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rt2(X1,X2) )
| ( sK10(X1) != sK11(X1)
& rtt(X1,sK11(X1))
& rtt(X1,sK10(X1)) )
| ~ rr2(X0,X1) ) )
& ( ( cd(sK13(X0))
& rt2(sK12(X0),sK13(X0))
& ! [X7,X8] :
( X7 = X8
| ~ rtt(sK12(X0),X8)
| ~ rtt(sK12(X0),X7) )
& rr2(X0,sK12(X0)) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f132,f135,f134,f133]) ).
fof(f143,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP3(X0) )
& ( sP3(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f176,plain,
! [X0] :
( sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f177,plain,
! [X0] :
( sP2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f178,plain,
! [X0] :
( rr1(X0,sK6(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f179,plain,
! [X0,X8,X7] :
( X7 = X8
| ~ rtt(sK6(X0),X8)
| ~ rtt(sK6(X0),X7)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f180,plain,
! [X0] :
( rt1(sK6(X0),sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f181,plain,
! [X0] :
( cc(sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f185,plain,
! [X3,X0,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f189,plain,
! [X0] :
( rr2(X0,sK12(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f191,plain,
! [X0] :
( rt2(sK12(X0),sK13(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f192,plain,
! [X0] :
( cd(sK13(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f203,plain,
! [X0] :
( sP3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f208,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf_transformation,[],[f30]) ).
fof(f209,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f212,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr1(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f213,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f214,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt1(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f215,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_56,plain,
( ~ sP3(X0)
| cc(sK7(X0)) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_57,plain,
( ~ sP3(X0)
| rt1(sK6(X0),sK7(X0)) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_58,plain,
( ~ rtt(sK6(X0),X1)
| ~ rtt(sK6(X0),X2)
| ~ sP3(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_59,plain,
( ~ sP3(X0)
| rr1(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_60,plain,
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_61,plain,
( ~ sP3(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_66,plain,
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ sP2(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_70,plain,
( ~ sP1(X0)
| cd(sK13(X0)) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_71,plain,
( ~ sP1(X0)
| rt2(sK12(X0),sK13(X0)) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_73,plain,
( ~ sP1(X0)
| rr2(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_82,plain,
( ~ cUnsatisfiable(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_86,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf_transformation,[],[f208]) ).
cnf(c_87,plain,
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_90,plain,
( ~ rr1(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_91,plain,
( ~ rr2(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_92,plain,
( ~ rt1(X0,X1)
| rtt(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_93,plain,
( ~ rt2(X0,X1)
| rtt(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_147,plain,
( ~ cUnsatisfiable(X0)
| sP3(X0) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
cnf(c_155,plain,
( sP2(X0)
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_60]) ).
cnf(c_156,plain,
( ~ cUnsatisfiable(X0)
| sP2(X0) ),
inference(renaming,[status(thm)],[c_155]) ).
cnf(c_157,plain,
( ~ sP1(X0)
| cd(sK13(X0)) ),
inference(prop_impl_just,[status(thm)],[c_70]) ).
cnf(c_159,plain,
( ~ sP1(X0)
| rt2(sK12(X0),sK13(X0)) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_161,plain,
( ~ sP1(X0)
| rr2(X0,sK12(X0)) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
cnf(c_163,plain,
( sP1(X0)
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_82,c_61]) ).
cnf(c_164,plain,
( ~ cUnsatisfiable(X0)
| sP1(X0) ),
inference(renaming,[status(thm)],[c_163]) ).
cnf(c_173,plain,
( ~ rt1(X0,X1)
| rtt(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_92]) ).
cnf(c_177,plain,
( rr(X0,X1)
| ~ rr1(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
cnf(c_178,plain,
( ~ rr1(X0,X1)
| rr(X0,X1) ),
inference(renaming,[status(thm)],[c_177]) ).
cnf(c_179,plain,
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
cnf(c_180,plain,
( ~ rr2(X0,X1)
| rr(X0,X1) ),
inference(renaming,[status(thm)],[c_179]) ).
cnf(c_183,plain,
( ~ rt2(X0,X1)
| rtt(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_93]) ).
cnf(c_193,plain,
( ~ cUnsatisfiable(X0)
| cc(sK7(X0)) ),
inference(prop_impl_just,[status(thm)],[c_82,c_56]) ).
cnf(c_195,plain,
( ~ cUnsatisfiable(X0)
| rt1(sK6(X0),sK7(X0)) ),
inference(prop_impl_just,[status(thm)],[c_82,c_57]) ).
cnf(c_197,plain,
( ~ cUnsatisfiable(X0)
| rr1(X0,sK6(X0)) ),
inference(prop_impl_just,[status(thm)],[c_82,c_59]) ).
cnf(c_201,plain,
( ~ cd(X0)
| ~ cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
cnf(c_202,plain,
( ~ cc(X0)
| ~ cd(X0) ),
inference(renaming,[status(thm)],[c_201]) ).
cnf(c_331,plain,
( ~ rtt(sK6(X0),X1)
| ~ rtt(sK6(X0),X2)
| ~ cUnsatisfiable(X0)
| X1 = X2 ),
inference(bin_hyper_res,[status(thm)],[c_58,c_147]) ).
cnf(c_894,plain,
( sK13(X0) != X2
| sK12(X0) != X1
| ~ sP1(X0)
| rtt(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_183,c_159]) ).
cnf(c_895,plain,
( ~ sP1(X0)
| rtt(sK12(X0),sK13(X0)) ),
inference(unflattening,[status(thm)],[c_894]) ).
cnf(c_976,plain,
( sK13(X0) != X1
| ~ cc(X1)
| ~ sP1(X0) ),
inference(resolution_lifted,[status(thm)],[c_157,c_202]) ).
cnf(c_977,plain,
( ~ cc(sK13(X0))
| ~ sP1(X0) ),
inference(unflattening,[status(thm)],[c_976]) ).
cnf(c_989,plain,
( sK12(X0) != X1
| X0 != X2
| ~ sP1(X0)
| rr(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_161,c_180]) ).
cnf(c_990,plain,
( ~ sP1(X0)
| rr(X0,sK12(X0)) ),
inference(unflattening,[status(thm)],[c_989]) ).
cnf(c_1302,plain,
( sK7(X0) != X2
| sK6(X0) != X1
| ~ cUnsatisfiable(X0)
| rtt(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_173,c_195]) ).
cnf(c_1303,plain,
( ~ cUnsatisfiable(X0)
| rtt(sK6(X0),sK7(X0)) ),
inference(unflattening,[status(thm)],[c_1302]) ).
cnf(c_1359,plain,
( sK6(X0) != X1
| X0 != X2
| ~ cUnsatisfiable(X0)
| rr(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_197,c_178]) ).
cnf(c_1360,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK6(X0)) ),
inference(unflattening,[status(thm)],[c_1359]) ).
cnf(c_1376,plain,
( X0 != i2003_11_14_17_20_25524
| rr(X0,sK6(X0)) ),
inference(resolution_lifted,[status(thm)],[c_1360,c_86]) ).
cnf(c_1377,plain,
rr(i2003_11_14_17_20_25524,sK6(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1376]) ).
cnf(c_1381,plain,
( X0 != i2003_11_14_17_20_25524
| rtt(sK6(X0),sK7(X0)) ),
inference(resolution_lifted,[status(thm)],[c_1303,c_86]) ).
cnf(c_1382,plain,
rtt(sK6(i2003_11_14_17_20_25524),sK7(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1381]) ).
cnf(c_1386,plain,
( X0 != i2003_11_14_17_20_25524
| ~ rtt(sK6(X0),X1)
| ~ rtt(sK6(X0),X2)
| X1 = X2 ),
inference(resolution_lifted,[status(thm)],[c_331,c_86]) ).
cnf(c_1387,plain,
( ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| ~ rtt(sK6(i2003_11_14_17_20_25524),X1)
| X0 = X1 ),
inference(unflattening,[status(thm)],[c_1386]) ).
cnf(c_1398,plain,
( X0 != i2003_11_14_17_20_25524
| cc(sK7(X0)) ),
inference(resolution_lifted,[status(thm)],[c_193,c_86]) ).
cnf(c_1399,plain,
cc(sK7(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1398]) ).
cnf(c_1408,plain,
( X0 != i2003_11_14_17_20_25524
| sP1(X0) ),
inference(resolution_lifted,[status(thm)],[c_164,c_86]) ).
cnf(c_1409,plain,
sP1(i2003_11_14_17_20_25524),
inference(unflattening,[status(thm)],[c_1408]) ).
cnf(c_1413,plain,
( X0 != i2003_11_14_17_20_25524
| sP2(X0) ),
inference(resolution_lifted,[status(thm)],[c_156,c_86]) ).
cnf(c_1414,plain,
sP2(i2003_11_14_17_20_25524),
inference(unflattening,[status(thm)],[c_1413]) ).
cnf(c_1432,plain,
( sK13(X0) != sK7(i2003_11_14_17_20_25524)
| ~ sP1(X0) ),
inference(resolution_lifted,[status(thm)],[c_1399,c_977]) ).
cnf(c_1514,plain,
( sK13(X0) != sK7(i2003_11_14_17_20_25524)
| X0 != i2003_11_14_17_20_25524 ),
inference(resolution_lifted,[status(thm)],[c_1432,c_1409]) ).
cnf(c_1515,plain,
sK13(i2003_11_14_17_20_25524) != sK7(i2003_11_14_17_20_25524),
inference(unflattening,[status(thm)],[c_1514]) ).
cnf(c_1519,plain,
( X0 != i2003_11_14_17_20_25524
| rr(X0,sK12(X0)) ),
inference(resolution_lifted,[status(thm)],[c_990,c_1409]) ).
cnf(c_1520,plain,
rr(i2003_11_14_17_20_25524,sK12(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1519]) ).
cnf(c_1529,plain,
( X0 != i2003_11_14_17_20_25524
| rtt(sK12(X0),sK13(X0)) ),
inference(resolution_lifted,[status(thm)],[c_895,c_1409]) ).
cnf(c_1530,plain,
rtt(sK12(i2003_11_14_17_20_25524),sK13(i2003_11_14_17_20_25524)),
inference(unflattening,[status(thm)],[c_1529]) ).
cnf(c_2107,plain,
( ~ rr(i2003_11_14_17_20_25524,X0)
| ~ sP2(i2003_11_14_17_20_25524)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(superposition,[status(thm)],[c_1377,c_66]) ).
cnf(c_2108,plain,
( ~ rr(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2107,c_1414]) ).
cnf(c_2126,plain,
sK6(i2003_11_14_17_20_25524) = sK12(i2003_11_14_17_20_25524),
inference(superposition,[status(thm)],[c_1520,c_2108]) ).
cnf(c_2129,plain,
rtt(sK6(i2003_11_14_17_20_25524),sK13(i2003_11_14_17_20_25524)),
inference(demodulation,[status(thm)],[c_1530,c_2126]) ).
cnf(c_2141,plain,
( ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| sK7(i2003_11_14_17_20_25524) = X0 ),
inference(superposition,[status(thm)],[c_1382,c_1387]) ).
cnf(c_2158,plain,
sK7(i2003_11_14_17_20_25524) = sK13(i2003_11_14_17_20_25524),
inference(superposition,[status(thm)],[c_2129,c_2141]) ).
cnf(c_2161,plain,
sK7(i2003_11_14_17_20_25524) != sK7(i2003_11_14_17_20_25524),
inference(demodulation,[status(thm)],[c_1515,c_2158]) ).
cnf(c_2163,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:16:31 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 1.84/1.19 % SZS status Started for theBenchmark.p
% 1.84/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/1.19
% 1.84/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.84/1.19
% 1.84/1.19 ------ iProver source info
% 1.84/1.19
% 1.84/1.19 git: date: 2024-05-02 19:28:25 +0000
% 1.84/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.84/1.19 git: non_committed_changes: false
% 1.84/1.19
% 1.84/1.19 ------ Parsing...
% 1.84/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.84/1.19
% 1.84/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e
% 1.84/1.19
% 1.84/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.84/1.19
% 1.84/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.84/1.19 ------ Proving...
% 1.84/1.19 ------ Problem Properties
% 1.84/1.19
% 1.84/1.19
% 1.84/1.19 clauses 18
% 1.84/1.19 conjectures 0
% 1.84/1.19 EPR 2
% 1.84/1.19 Horn 16
% 1.84/1.19 unary 11
% 1.84/1.19 binary 3
% 1.84/1.19 lits 30
% 1.84/1.19 lits eq 6
% 1.84/1.19 fd_pure 0
% 1.84/1.19 fd_pseudo 0
% 1.84/1.19 fd_cond 0
% 1.84/1.19 fd_pseudo_cond 4
% 1.84/1.19 AC symbols 0
% 1.84/1.19
% 1.84/1.19 ------ Schedule dynamic 5 is on
% 1.84/1.19
% 1.84/1.19 ------ no conjectures: strip conj schedule
% 1.84/1.19
% 1.84/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.84/1.19
% 1.84/1.19
% 1.84/1.19 ------
% 1.84/1.19 Current options:
% 1.84/1.19 ------
% 1.84/1.19
% 1.84/1.19
% 1.84/1.19
% 1.84/1.19
% 1.84/1.19 ------ Proving...
% 1.84/1.19
% 1.84/1.19
% 1.84/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/1.19
% 1.84/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/1.19
% 1.84/1.19
%------------------------------------------------------------------------------