TSTP Solution File: ITP019+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.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 : Wed Aug 31 17:22:14 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 64 ( 45 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 13 |; 11 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 11 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,plain,
$false,
inference(subsumption_resolution,[],[f198,f166]) ).
fof(f166,plain,
sF5 = ap(c_2Ecomplex_2Ecomplex__inv,sK2),
inference(backward_demodulation,[],[f157,f158]) ).
fof(f158,plain,
sF5 = sF6,
inference(definition_folding,[],[f124,f157,f156]) ).
fof(f156,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = sF5,
introduced(function_definition,[]) ).
fof(f124,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( mem(sK2,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK2)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f61,f87]) ).
fof(f87,plain,
( ? [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
=> ( mem(sK2,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK2)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13
=> ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13
=> ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(f157,plain,
sF6 = ap(c_2Ecomplex_2Ecomplex__inv,sK2),
introduced(function_definition,[]) ).
fof(f198,plain,
sF5 != ap(c_2Ecomplex_2Ecomplex__inv,sK2),
inference(subsumption_resolution,[],[f197,f159]) ).
fof(f159,plain,
sK2 != sF5,
inference(definition_folding,[],[f123,f156]) ).
fof(f123,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK2,
inference(cnf_transformation,[],[f88]) ).
fof(f197,plain,
( sK2 = sF5
| sF5 != ap(c_2Ecomplex_2Ecomplex__inv,sK2) ),
inference(resolution,[],[f169,f155]) ).
fof(f155,plain,
mem(sK2,sF4),
inference(definition_folding,[],[f125,f154]) ).
fof(f154,plain,
ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal) = sF4,
introduced(function_definition,[]) ).
fof(f125,plain,
mem(sK2,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f88]) ).
fof(f169,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF5 = X0
| sF5 != ap(c_2Ecomplex_2Ecomplex__inv,X0) ),
inference(forward_demodulation,[],[f168,f156]) ).
fof(f168,plain,
! [X0] :
( ~ mem(X0,sF4)
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0)
| sF5 = X0 ),
inference(forward_demodulation,[],[f167,f156]) ).
fof(f167,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ~ mem(X0,sF4)
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ),
inference(forward_demodulation,[],[f121,f154]) ).
fof(f121,plain,
! [X0] :
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 ) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X13) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 23:36:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (15274)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49 % (15289)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.49 % (15278)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (15277)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (15298)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.50 % (15285)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.50 % (15287)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50 % (15298)First to succeed.
% 0.21/0.50 % (15298)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (15298)------------------------------
% 0.21/0.50 % (15298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (15298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (15298)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (15298)Memory used [KB]: 1151
% 0.21/0.50 % (15298)Time elapsed: 0.109 s
% 0.21/0.50 % (15298)Instructions burned: 6 (million)
% 0.21/0.50 % (15298)------------------------------
% 0.21/0.50 % (15298)------------------------------
% 0.21/0.50 % (15270)Success in time 0.143 s
%------------------------------------------------------------------------------