TSTP Solution File: GRP511-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n022.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 16:16:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 63 ( 63 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 199 ( 199 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f262,plain,
$false,
inference(subsumption_resolution,[],[f260,f246]) ).
fof(f246,plain,
! [X6,X7,X5] : multiply(X5,multiply(X6,X7)) = multiply(X6,multiply(X7,X5)),
inference(forward_demodulation,[],[f245,f238]) ).
fof(f238,plain,
! [X4] : inverse(inverse(X4)) = X4,
inference(forward_demodulation,[],[f237,f228]) ).
fof(f228,plain,
! [X48,X47] : inverse(X47) = multiply(X48,inverse(multiply(X48,X47))),
inference(forward_demodulation,[],[f226,f97]) ).
fof(f97,plain,
! [X10,X8,X7] : multiply(X10,inverse(multiply(X7,X8))) = inverse(multiply(X7,multiply(X8,inverse(X10)))),
inference(backward_demodulation,[],[f39,f70]) ).
fof(f70,plain,
! [X8,X9,X7] : inverse(multiply(multiply(X8,X7),inverse(multiply(X8,X9)))) = multiply(X9,inverse(X7)),
inference(superposition,[],[f22,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f22,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,inverse(multiply(X0,X2))),inverse(X1)),
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f39,plain,
! [X10,X8,X9,X7] : inverse(multiply(X7,multiply(X8,inverse(X10)))) = inverse(multiply(multiply(X9,multiply(X7,X8)),inverse(multiply(X9,X10)))),
inference(superposition,[],[f27,f4]) ).
fof(f27,plain,
! [X6,X4,X5] : inverse(multiply(X5,multiply(X4,inverse(multiply(multiply(X5,X4),X6))))) = X6,
inference(superposition,[],[f4,f3]) ).
fof(f226,plain,
! [X48,X47] : inverse(multiply(X48,multiply(X47,inverse(X48)))) = inverse(X47),
inference(backward_demodulation,[],[f191,f224]) ).
fof(f224,plain,
! [X2,X3] : inverse(X2) = multiply(X3,inverse(multiply(X2,X3))),
inference(superposition,[],[f167,f167]) ).
fof(f167,plain,
! [X2,X3] : multiply(multiply(X2,X3),inverse(X2)) = X3,
inference(forward_demodulation,[],[f166,f139]) ).
fof(f139,plain,
! [X8,X9,X7] : multiply(X9,inverse(X7)) = multiply(multiply(X8,X9),inverse(multiply(X8,X7))),
inference(forward_demodulation,[],[f121,f97]) ).
fof(f121,plain,
! [X8,X9,X7] : inverse(multiply(X8,multiply(X7,inverse(multiply(X8,X9))))) = multiply(X9,inverse(X7)),
inference(backward_demodulation,[],[f70,f108]) ).
fof(f108,plain,
! [X3,X0,X1] : inverse(multiply(X0,multiply(X1,X3))) = inverse(multiply(multiply(X0,X1),X3)),
inference(backward_demodulation,[],[f40,f102]) ).
fof(f102,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(X1,inverse(multiply(multiply(X0,X1),X2))),
inference(backward_demodulation,[],[f45,f97]) ).
fof(f45,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = inverse(multiply(multiply(X0,X1),multiply(X2,inverse(X1)))),
inference(backward_demodulation,[],[f8,f40]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(X3,inverse(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(X1)))),
inference(superposition,[],[f4,f1]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,X3))) = multiply(X2,inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
inference(superposition,[],[f27,f27]) ).
fof(f166,plain,
! [X2,X3,X0] : multiply(multiply(X0,multiply(X2,X3)),inverse(multiply(X0,X2))) = X3,
inference(forward_demodulation,[],[f165,f97]) ).
fof(f165,plain,
! [X2,X3,X0] : inverse(multiply(X0,multiply(X2,inverse(multiply(X0,multiply(X2,X3)))))) = X3,
inference(forward_demodulation,[],[f164,f108]) ).
fof(f164,plain,
! [X2,X3,X0] : inverse(multiply(multiply(X0,X2),inverse(multiply(X0,multiply(X2,X3))))) = X3,
inference(forward_demodulation,[],[f162,f97]) ).
fof(f162,plain,
! [X2,X3,X0] : inverse(inverse(multiply(X0,multiply(multiply(X2,X3),inverse(multiply(X0,X2)))))) = X3,
inference(backward_demodulation,[],[f142,f159]) ).
fof(f159,plain,
! [X6,X7,X5] : multiply(X5,inverse(inverse(multiply(X6,X7)))) = inverse(inverse(multiply(X6,multiply(X7,X5)))),
inference(backward_demodulation,[],[f134,f156]) ).
fof(f156,plain,
! [X10,X12,X13] : multiply(X10,inverse(X12)) = multiply(multiply(X10,X13),inverse(multiply(X12,X13))),
inference(forward_demodulation,[],[f155,f139]) ).
fof(f155,plain,
! [X10,X9,X12,X13] : multiply(multiply(X9,X10),inverse(multiply(X9,X12))) = multiply(multiply(X10,X13),inverse(multiply(X12,X13))),
inference(forward_demodulation,[],[f101,f97]) ).
fof(f101,plain,
! [X10,X9,X12,X13] : inverse(multiply(X9,multiply(X12,inverse(multiply(X9,X10))))) = multiply(multiply(X10,X13),inverse(multiply(X12,X13))),
inference(backward_demodulation,[],[f47,f97]) ).
fof(f47,plain,
! [X10,X9,X12,X13] : multiply(multiply(X10,X13),inverse(multiply(X12,X13))) = inverse(multiply(X9,inverse(multiply(X9,multiply(X10,inverse(X12)))))),
inference(backward_demodulation,[],[f21,f39]) ).
fof(f21,plain,
! [X10,X11,X9,X12,X13] : inverse(multiply(X9,inverse(multiply(multiply(X11,multiply(X9,X10)),inverse(multiply(X11,X12)))))) = multiply(multiply(X10,X13),inverse(multiply(X12,X13))),
inference(superposition,[],[f3,f4]) ).
fof(f134,plain,
! [X8,X6,X7,X5] : inverse(inverse(multiply(X6,multiply(X7,X5)))) = multiply(multiply(X5,X8),inverse(multiply(inverse(multiply(X6,X7)),X8))),
inference(backward_demodulation,[],[f132,f109]) ).
fof(f109,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(X1,inverse(multiply(X0,multiply(X1,X2)))),
inference(backward_demodulation,[],[f102,f108]) ).
fof(f132,plain,
! [X8,X6,X7,X4,X5] : multiply(multiply(X5,X8),inverse(multiply(inverse(multiply(X6,X7)),X8))) = inverse(multiply(X4,inverse(multiply(X6,multiply(X4,multiply(X7,X5)))))),
inference(forward_demodulation,[],[f115,f108]) ).
fof(f115,plain,
! [X8,X6,X7,X4,X5] : inverse(multiply(X4,inverse(multiply(multiply(X6,X4),multiply(X7,X5))))) = multiply(multiply(X5,X8),inverse(multiply(inverse(multiply(X6,X7)),X8))),
inference(backward_demodulation,[],[f20,f108]) ).
fof(f20,plain,
! [X8,X6,X7,X4,X5] : inverse(multiply(X4,inverse(multiply(multiply(multiply(X6,X4),X7),X5)))) = multiply(multiply(X5,X8),inverse(multiply(inverse(multiply(X6,X7)),X8))),
inference(superposition,[],[f3,f3]) ).
fof(f142,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X0,X2)),inverse(inverse(multiply(X0,multiply(X2,X3))))) = X3,
inference(forward_demodulation,[],[f141,f109]) ).
fof(f141,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X2)),inverse(multiply(X1,inverse(multiply(X0,multiply(X1,multiply(X2,X3))))))) = X3,
inference(forward_demodulation,[],[f113,f108]) ).
fof(f113,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X2)),inverse(multiply(X1,inverse(multiply(multiply(X0,X1),multiply(X2,X3)))))) = X3,
inference(backward_demodulation,[],[f6,f108]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X2)),inverse(multiply(X1,inverse(multiply(multiply(multiply(X0,X1),X2),X3))))) = X3,
inference(superposition,[],[f4,f1]) ).
fof(f191,plain,
! [X48,X49,X47] : inverse(multiply(X48,multiply(X47,multiply(X49,inverse(multiply(X48,X49)))))) = inverse(X47),
inference(forward_demodulation,[],[f190,f152]) ).
fof(f152,plain,
! [X10,X8,X9,X7] : inverse(multiply(X9,multiply(X7,multiply(X10,X8)))) = multiply(inverse(multiply(X9,X10)),inverse(multiply(X7,X8))),
inference(forward_demodulation,[],[f151,f108]) ).
fof(f151,plain,
! [X10,X8,X9,X7] : inverse(multiply(multiply(X9,X7),multiply(X10,X8))) = multiply(inverse(multiply(X9,X10)),inverse(multiply(X7,X8))),
inference(forward_demodulation,[],[f99,f108]) ).
fof(f99,plain,
! [X10,X8,X9,X7] : multiply(inverse(multiply(X9,X10)),inverse(multiply(X7,X8))) = inverse(multiply(multiply(multiply(X9,X7),X10),X8)),
inference(backward_demodulation,[],[f46,f97]) ).
fof(f46,plain,
! [X10,X8,X9,X7] : inverse(multiply(X7,multiply(X8,inverse(inverse(multiply(X9,X10)))))) = inverse(multiply(multiply(multiply(X9,X7),X10),X8)),
inference(backward_demodulation,[],[f28,f40]) ).
fof(f28,plain,
! [X10,X11,X8,X9,X7] : multiply(X11,inverse(multiply(multiply(multiply(X7,X8),X11),inverse(inverse(multiply(X9,X10)))))) = inverse(multiply(multiply(multiply(X9,X7),X10),X8)),
inference(superposition,[],[f4,f3]) ).
fof(f190,plain,
! [X48,X49,X47] : inverse(X47) = multiply(inverse(multiply(X48,X49)),inverse(multiply(X47,inverse(multiply(X48,X49))))),
inference(forward_demodulation,[],[f189,f139]) ).
fof(f189,plain,
! [X50,X48,X49,X47] : inverse(X47) = multiply(multiply(X50,inverse(multiply(X48,X49))),inverse(multiply(X50,multiply(X47,inverse(multiply(X48,X49)))))),
inference(forward_demodulation,[],[f85,f181]) ).
fof(f181,plain,
! [X6,X4] : multiply(X6,inverse(X4)) = inverse(multiply(X4,inverse(X6))),
inference(forward_demodulation,[],[f180,f109]) ).
fof(f180,plain,
! [X6,X7,X4] : multiply(X6,inverse(X4)) = multiply(X7,inverse(multiply(X4,multiply(X7,inverse(X6))))),
inference(forward_demodulation,[],[f89,f108]) ).
fof(f89,plain,
! [X6,X7,X4] : multiply(X7,inverse(multiply(multiply(X4,X7),inverse(X6)))) = multiply(X6,inverse(X4)),
inference(backward_demodulation,[],[f9,f70]) ).
fof(f9,plain,
! [X6,X7,X4,X5] : multiply(X7,inverse(multiply(multiply(X4,X7),inverse(X6)))) = inverse(multiply(multiply(X5,X4),inverse(multiply(X5,X6)))),
inference(superposition,[],[f4,f4]) ).
fof(f85,plain,
! [X50,X48,X49,X47] : inverse(X47) = inverse(multiply(multiply(X50,multiply(X47,inverse(multiply(X48,X49)))),inverse(multiply(X50,inverse(multiply(X48,X49)))))),
inference(superposition,[],[f41,f22]) ).
fof(f41,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X2,X0),inverse(multiply(X2,multiply(X0,X1))))) = X1,
inference(superposition,[],[f27,f3]) ).
fof(f237,plain,
! [X3,X4] : multiply(X3,inverse(multiply(X3,inverse(X4)))) = X4,
inference(superposition,[],[f167,f140]) ).
fof(f140,plain,
! [X6,X7] : multiply(multiply(X7,inverse(X6)),X6) = X7,
inference(backward_demodulation,[],[f107,f139]) ).
fof(f107,plain,
! [X6,X7,X4] : multiply(multiply(multiply(X4,X7),inverse(multiply(X4,X6))),X6) = X7,
inference(backward_demodulation,[],[f43,f102]) ).
fof(f43,plain,
! [X6,X7,X4,X5] : multiply(multiply(multiply(X4,X7),multiply(X5,inverse(multiply(multiply(X4,X5),X6)))),X6) = X7,
inference(superposition,[],[f1,f27]) ).
fof(f245,plain,
! [X6,X7,X5] : multiply(X6,multiply(X7,X5)) = multiply(X5,inverse(inverse(multiply(X6,X7)))),
inference(backward_demodulation,[],[f159,f238]) ).
fof(f260,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(backward_demodulation,[],[f2,f232]) ).
fof(f232,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f140,f167]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:31:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (8444)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 0.19/0.48 % (8452)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.50 % (8436)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.51 % (8454)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.52 % (8433)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/10Mi)
% 0.19/0.52 % (8446)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.19/0.52 % (8446)Refutation not found, incomplete strategy% (8446)------------------------------
% 0.19/0.52 % (8446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8446)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8446)Memory used [KB]: 5373
% 0.19/0.52 % (8446)Time elapsed: 0.086 s
% 0.19/0.52 % (8446)Instructions burned: 1 (million)
% 0.19/0.52 % (8446)------------------------------
% 0.19/0.52 % (8446)------------------------------
% 0.19/0.52 % (8458)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.52 % (8452)First to succeed.
% 0.19/0.52 % (8456)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.19/0.52 % (8457)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.52 % (8433)Instruction limit reached!
% 0.19/0.52 % (8433)------------------------------
% 0.19/0.52 % (8433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8433)Termination reason: Unknown
% 0.19/0.52 % (8433)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8433)Memory used [KB]: 5628
% 0.19/0.52 % (8433)Time elapsed: 0.129 s
% 0.19/0.52 % (8433)Instructions burned: 10 (million)
% 0.19/0.52 % (8433)------------------------------
% 0.19/0.52 % (8433)------------------------------
% 0.19/0.52 % (8437)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.19/0.52 % (8452)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8452)------------------------------
% 0.19/0.52 % (8452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8452)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8452)Memory used [KB]: 5756
% 0.19/0.52 % (8452)Time elapsed: 0.106 s
% 0.19/0.52 % (8452)Instructions burned: 25 (million)
% 0.19/0.52 % (8452)------------------------------
% 0.19/0.52 % (8452)------------------------------
% 0.19/0.52 % (8431)Success in time 0.179 s
%------------------------------------------------------------------------------