TSTP Solution File: GEO497+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 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 Sep 1 14:44:37 EDT 2023
% Result : Theorem 206.83s 29.95s
% Output : Refutation 206.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 131 ( 56 unt; 0 def)
% Number of atoms : 330 ( 93 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 366 ( 167 ~; 155 |; 43 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 372 (; 360 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2185411,plain,
$false,
inference(subsumption_resolution,[],[f2185405,f126517]) ).
fof(f126517,plain,
! [X76,X77,X74,X75] : s_e(X75,insert(X76,X77,X75,X74),X76,X77),
inference(superposition,[],[f233,f231]) ).
fof(f231,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X11,X14,X19,X21] : insert(X11,X14,X19,X21) = ext(ext(X21,X19,alpha,gamma),X19,X11,X14),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',d_insert) ).
fof(f233,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( s_e(X1,ext(X0,X1,X2,X3),X2,X3)
& s_t(X0,X1,ext(X0,X1,X2,X3)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X6,X3] :
( s_e(X1,ext(X0,X1,X6,X3),X6,X3)
& s_t(X0,X1,ext(X0,X1,X6,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aA4) ).
fof(f2185405,plain,
~ s_e(sK3,insert(sK4,sK5,sK3,sK2),sK4,sK5),
inference(unit_resulting_resolution,[],[f2185404,f176]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ s_e(X3,insert(X1,X0,X3,X2),X1,X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ( ~ s_e(X3,insert(X1,X0,X3,X2),X1,X0)
& X0 != X1
& X2 != X3 )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X3,X2,X0,X1] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| ~ sP1(X3,X2,X0,X1) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X3,X2,X0,X1] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| ~ sP1(X3,X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2185404,plain,
sP1(sK5,sK4,sK2,sK3),
inference(unit_resulting_resolution,[],[f2185312,f180]) ).
fof(f180,plain,
( sP1(sK5,sK4,sK2,sK3)
| sP0(sK2,sK3,sK5,sK4) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( sP1(sK5,sK4,sK2,sK3)
| sP0(sK2,sK3,sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f167,f172]) ).
fof(f172,plain,
( ? [X0,X1,X2,X3] :
( sP1(X3,X2,X0,X1)
| sP0(X0,X1,X3,X2) )
=> ( sP1(sK5,sK4,sK2,sK3)
| sP0(sK2,sK3,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
? [X0,X1,X2,X3] :
( sP1(X3,X2,X0,X1)
| sP0(X0,X1,X3,X2) ),
inference(definition_folding,[],[f164,f166,f165]) ).
fof(f165,plain,
! [X0,X1,X3,X2] :
( ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 )
| ~ sP0(X0,X1,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f164,plain,
? [X0,X1,X2,X3] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ! [X0,X1,X2,X3] :
( ( s_e(X1,insert(X2,X3,X1,X0),X2,X3)
| X2 = X3
| X0 = X1 )
& ( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ) ),
inference(rectify,[],[f78]) ).
fof(f78,negated_conjecture,
~ ! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
inference(negated_conjecture,[],[f77]) ).
fof(f77,conjecture,
! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz6_11a) ).
fof(f2185312,plain,
~ sP0(sK2,sK3,sK5,sK4),
inference(unit_resulting_resolution,[],[f1790172,f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ~ sameside(insert(X3,X2,X1,X0),X1,X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ( ~ sameside(insert(X3,X2,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X3,X2] :
( ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 )
| ~ sP0(X0,X1,X3,X2) ),
inference(nnf_transformation,[],[f165]) ).
fof(f1790172,plain,
sameside(insert(sK4,sK5,sK3,sK2),sK3,sK2),
inference(forward_demodulation,[],[f1790171,f231]) ).
fof(f1790171,plain,
sameside(ext(ext(sK2,sK3,alpha,gamma),sK3,sK4,sK5),sK3,sK2),
inference(forward_demodulation,[],[f1790170,f975302]) ).
fof(f975302,plain,
! [X0,X1] : ext(sK2,sK3,X0,X1) = ext(sK2,sK3,X1,X0),
inference(forward_demodulation,[],[f958735,f121239]) ).
fof(f121239,plain,
! [X0,X1] : ins(X0,X1,X0,X1) = X1,
inference(unit_resulting_resolution,[],[f27423,f84662,f227]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X2,X0,X1)
| X1 = X2
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X11,X14,X13] :
( X13 = X14
| ~ s_e(X11,X13,X11,X14)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aNarbouxLemma1) ).
fof(f84662,plain,
! [X0,X1] : s_e(X0,ins(X0,X1,X0,X1),X0,X1),
inference(unit_resulting_resolution,[],[f191,f235]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_e(X0,ins(X2,X3,X0,X1),X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) )
& ( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) )
& ( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X11,X14,X13,X16] :
( ( ins(X13,X16,X11,X14) = ext(X11,X14,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) )
& ( s_e(X11,ins(X13,X16,X11,X14),X13,X16)
| ~ le(X11,X14,X13,X16) )
& ( s_t(X11,X14,ins(X13,X16,X11,X14))
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz5_5a) ).
fof(f191,plain,
! [X0,X1] : le(X0,X1,X0,X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : le(X0,X1,X0,X1),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X11,X14] : le(X11,X14,X11,X14),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz5_7) ).
fof(f27423,plain,
! [X0,X1] : s_t(X0,X1,ins(X0,X1,X0,X1)),
inference(unit_resulting_resolution,[],[f191,f234]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X0,X1,ins(X2,X3,X0,X1)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f958735,plain,
! [X0,X1] : ext(ins(sK3,sK2,sK3,sK2),sK3,X0,X1) = ext(ins(sK3,sK2,sK3,sK2),sK3,X1,X0),
inference(unit_resulting_resolution,[],[f29100,f232,f938,f266]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X1,X2,X3,X4)
| ext(X0,X1,X3,X4) = X2
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ext(X0,X1,X3,X4) = X2
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X15,X11,X16,X14,X13] :
( ext(X15,X11,X14,X13) = X16
| ~ s_e(X11,X16,X14,X13)
| ~ s_t(X15,X11,X16)
| X11 = X15 ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz2_12) ).
fof(f938,plain,
! [X2,X3,X0,X1] : s_e(X0,ext(X1,X0,X2,X3),X3,X2),
inference(unit_resulting_resolution,[],[f233,f253]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X11,X14,X13,X16] :
( s_e(X11,X14,X16,X13)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz2_5) ).
fof(f232,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f118]) ).
fof(f29100,plain,
sK3 != ins(sK3,sK2,sK3,sK2),
inference(unit_resulting_resolution,[],[f28203,f12356]) ).
fof(f12356,plain,
! [X0,X1] :
( X0 != X1
| s_t(X0,X1,X0) ),
inference(resolution,[],[f5020,f200]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| X0 != X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) )
& ( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) )
& ( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) )
& ( X1 != X2
| ~ sameside(X0,X1,X2) )
& ( X0 != X1
| ~ sameside(X0,X1,X2) ) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X11,X12,X14] :
( ( sameside(X11,X12,X14)
| X12 = X14
| X11 = X12
| ~ s_t(X12,X14,X11) )
& ( sameside(X11,X12,X14)
| xb = X12
| X11 = X12
| ~ s_t(X12,X11,X14) )
& ( s_t(X12,X14,X11)
| s_t(X12,X11,X14)
| ~ sameside(X11,X12,X14) )
& ( X12 != X14
| ~ sameside(X11,X12,X14) )
& ( X11 != X12
| ~ sameside(X11,X12,X14) ) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',d_Defn6_1) ).
fof(f5020,plain,
! [X2,X3] :
( sameside(X2,X3,X2)
| s_t(X2,X3,X2) ),
inference(resolution,[],[f228,f188]) ).
fof(f188,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X11,X14] : s_col(X11,X14,X11),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz4_12b) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_t(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X11,X12,X14] :
( s_t(X11,X12,X14)
| ~ s_col(X11,X12,X14)
| sameside(X11,X12,X14) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz6_4b) ).
fof(f28203,plain,
~ s_t(sK3,ins(sK3,sK2,sK3,sK2),sK3),
inference(unit_resulting_resolution,[],[f729,f27423,f245]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X0,X2,X3)
| s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X11,X14,X13,X16] :
( s_t(X11,X14,X16)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz3_6b) ).
fof(f729,plain,
~ s_t(sK3,sK2,sK3),
inference(unit_resulting_resolution,[],[f718,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ~ s_t(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aA6) ).
fof(f718,plain,
sK2 != sK3,
inference(subsumption_resolution,[],[f716,f177]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| X0 != X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f716,plain,
( sP0(sK2,sK3,sK5,sK4)
| sK2 != sK3 ),
inference(resolution,[],[f180,f174]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f169]) ).
fof(f1790170,plain,
sameside(ext(ext(sK2,sK3,gamma,alpha),sK3,sK4,sK5),sK3,sK2),
inference(forward_demodulation,[],[f1790169,f958386]) ).
fof(f958386,plain,
! [X2,X3,X0,X1] : ext(ext(X0,X1,gamma,alpha),X1,X2,X3) = ext(ext(X0,X1,gamma,alpha),X1,X3,X2),
inference(unit_resulting_resolution,[],[f127172,f232,f938,f266]) ).
fof(f127172,plain,
! [X0,X1] : ext(X0,X1,gamma,alpha) != X1,
inference(unit_resulting_resolution,[],[f127139,f12356]) ).
fof(f127139,plain,
! [X0,X1] : ~ s_t(X0,ext(X1,X0,gamma,alpha),X0),
inference(unit_resulting_resolution,[],[f1153,f126940,f264]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X4)
| le(X0,X1,X2,X3)
| ~ s_t(X2,X4,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) )
& ( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) )
& ( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X11,X14,X13,X16,X1] :
( ( le(X11,X14,X13,X16)
| ~ s_e(X11,X14,X13,X1)
| ~ s_t(X13,X1,X16) )
& ( s_e(X11,X14,X13,insert(X11,X14,X13,X16))
| ~ le(X11,X14,X13,X16) )
& ( s_t(X13,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',d_Defn5_4) ).
fof(f126940,plain,
! [X0] : ~ le(alpha,gamma,X0,X0),
inference(unit_resulting_resolution,[],[f126486,f262]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X2,insert(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f126486,plain,
! [X6,X7] : ~ s_t(X7,insert(alpha,gamma,X7,X6),X7),
inference(superposition,[],[f331,f231]) ).
fof(f331,plain,
! [X0,X1] : ~ s_t(X0,ext(X1,X0,alpha,gamma),X0),
inference(unit_resulting_resolution,[],[f195,f198]) ).
fof(f195,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X14,X11] : ext(X11,X14,alpha,gamma) != X14,
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz3_14b) ).
fof(f1153,plain,
! [X2,X3,X0,X1] : s_e(X0,X1,X2,ext(X3,X2,X1,X0)),
inference(unit_resulting_resolution,[],[f938,f254]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X11,X14,X13,X16] :
( s_e(X13,X16,X11,X14)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz2_2) ).
fof(f1790169,plain,
sameside(ext(ext(sK2,sK3,gamma,alpha),sK3,sK5,sK4),sK3,sK2),
inference(forward_demodulation,[],[f1420002,f121239]) ).
fof(f1420002,plain,
sameside(ext(ext(ins(sK3,sK2,sK3,sK2),sK3,gamma,alpha),sK3,sK5,sK4),sK3,ins(sK3,sK2,sK3,sK2)),
inference(unit_resulting_resolution,[],[f29100,f127172,f224763,f490,f232,f237]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X2,X1,X3)
| sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X11,X12,X14,X13] :
( sameside(X11,X12,X14)
| ~ s_t(X14,X12,X13)
| ~ s_t(X11,X12,X13)
| X12 = X13
| X12 = X14
| X11 = X12 ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz6_2a) ).
fof(f490,plain,
! [X2,X3,X0,X1] : s_t(ext(X0,X1,X2,X3),X1,X0),
inference(unit_resulting_resolution,[],[f232,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X11,X14,X13] :
( s_t(X13,X14,X11)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz3_2) ).
fof(f224763,plain,
! [X0,X1] : ext(X0,X1,sK5,sK4) != X1,
inference(unit_resulting_resolution,[],[f217855,f12356]) ).
fof(f217855,plain,
! [X0,X1] : ~ s_t(X0,ext(X1,X0,sK5,sK4),X0),
inference(unit_resulting_resolution,[],[f1153,f217729,f264]) ).
fof(f217729,plain,
! [X0] : ~ le(sK4,sK5,X0,X0),
inference(forward_demodulation,[],[f217413,f511]) ).
fof(f511,plain,
! [X2,X0,X1] : ext(X0,X1,X2,X2) = X1,
inference(unit_resulting_resolution,[],[f233,f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aA3) ).
fof(f217413,plain,
! [X0] : ~ le(ext(sK5,sK4,X0,X0),sK5,X0,X0),
inference(unit_resulting_resolution,[],[f7780,f90728,f252]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ le(X2,X3,X0,X1)
| s_e(X0,X1,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X11,X14,X13,X16] :
( s_e(X11,X14,X13,X16)
| ~ le(X13,X16,X11,X14)
| ~ le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz5_9) ).
fof(f90728,plain,
! [X2,X3,X0,X1] : le(X0,X1,ext(X2,X3,X0,X1),X2),
inference(unit_resulting_resolution,[],[f490,f1293,f264]) ).
fof(f1293,plain,
! [X2,X3,X0,X1] : s_e(X0,X1,ext(X2,X3,X0,X1),X3),
inference(unit_resulting_resolution,[],[f1152,f253]) ).
fof(f1152,plain,
! [X2,X3,X0,X1] : s_e(X0,X1,X2,ext(X3,X2,X0,X1)),
inference(unit_resulting_resolution,[],[f233,f254]) ).
fof(f7780,plain,
! [X2,X0,X1] : ~ s_e(ext(sK5,sK4,X0,X1),sK5,X2,X2),
inference(unit_resulting_resolution,[],[f7710,f229]) ).
fof(f7710,plain,
! [X0,X1] : sK5 != ext(sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f4893,f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f4893,plain,
! [X0,X1] : sameside(sK4,sK5,ext(sK5,sK4,X0,X1)),
inference(unit_resulting_resolution,[],[f2786,f579,f228]) ).
fof(f579,plain,
! [X2,X3,X0,X1] : s_col(X0,X1,ext(X1,X0,X2,X3)),
inference(unit_resulting_resolution,[],[f490,f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) )
& ( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X11,X14,X13] :
( ( ~ s_t(X13,X11,X14)
| s_col(X11,X14,X13) )
& ( ~ s_t(X14,X13,X11)
| s_col(X11,X14,X13) )
& ( ~ s_t(X11,X14,X13)
| s_col(X11,X14,X13) )
& ( s_t(X13,X11,X14)
| s_t(X14,X13,X11)
| s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',d_Defn4_10) ).
fof(f2786,plain,
! [X0,X1] : ~ s_t(sK4,sK5,ext(sK5,sK4,X0,X1)),
inference(unit_resulting_resolution,[],[f717,f232,f225]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| X0 = X1
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X11,X14,X13] :
( X11 = X14
| ~ s_t(X14,X11,X13)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/tmp/tmp.OTnf2j17VH/Vampire---4.8_19777',aSatz3_4) ).
fof(f717,plain,
sK4 != sK5,
inference(subsumption_resolution,[],[f715,f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f171]) ).
fof(f715,plain,
( sP0(sK2,sK3,sK5,sK4)
| sK4 != sK5 ),
inference(resolution,[],[f180,f175]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| X0 != X1 ),
inference(cnf_transformation,[],[f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 18:01:18 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (19896)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19897)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (19900)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (19898)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (19899)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (19901)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (19902)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (19903)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.43 Detected minimum model sizes of [3]
% 0.22/0.43 Detected maximum model sizes of [max]
% 0.22/0.45 TRYING [3]
% 0.22/0.48 Detected minimum model sizes of [3]
% 0.22/0.48 Detected maximum model sizes of [max]
% 0.22/0.58 TRYING [3]
% 2.46/0.78 TRYING [4]
% 7.53/1.53 Detected minimum model sizes of [3]
% 7.53/1.53 Detected maximum model sizes of [max]
% 7.97/1.54 TRYING [3]
% 8.93/1.67 TRYING [4]
% 17.48/2.89 TRYING [5]
% 20.58/3.34 TRYING [4]
% 22.43/3.61 TRYING [5]
% 144.67/21.04 TRYING [6]
% 185.75/26.90 TRYING [6]
% 206.83/29.90 % (19903)First to succeed.
% 206.83/29.95 % (19903)Refutation found. Thanks to Tanya!
% 206.83/29.95 % SZS status Theorem for Vampire---4
% 206.83/29.95 % SZS output start Proof for Vampire---4
% See solution above
% 206.83/29.95 % (19903)------------------------------
% 206.83/29.95 % (19903)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 206.83/29.95 % (19903)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 206.83/29.95 % (19903)Termination reason: Refutation
% 206.83/29.95
% 206.83/29.95 % (19903)Memory used [KB]: 765019
% 206.83/29.95 % (19903)Time elapsed: 29.468 s
% 206.83/29.95 % (19903)------------------------------
% 206.83/29.95 % (19903)------------------------------
% 206.83/29.95 % (19896)Success in time 29.532 s
% 206.83/29.95 % Vampire---4.8 exiting
%------------------------------------------------------------------------------