TSTP Solution File: GRP049-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP049-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Mon May 20 21:14:28 EDT 2024
% Result : Unsatisfiable 7.41s 1.41s
% Output : Refutation 7.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 52 ( 49 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 165 ( 165 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58480,plain,
$false,
inference(trivial_inequality_removal,[],[f58338]) ).
fof(f58338,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f11536,f12363]) ).
fof(f12363,plain,
! [X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(X0,X1),X3),
inference(forward_demodulation,[],[f12362,f11193]) ).
fof(f11193,plain,
! [X1] : inverse(inverse(multiply(X1,multiply(inverse(X1),X1)))) = X1,
inference(superposition,[],[f53,f10896]) ).
fof(f10896,plain,
! [X2,X3] : multiply(inverse(multiply(inverse(X2),X2)),X3) = X3,
inference(forward_demodulation,[],[f10822,f9309]) ).
fof(f9309,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)))))) = X4,
inference(superposition,[],[f4645,f5253]) ).
fof(f5253,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X0),X0))),
inference(superposition,[],[f5215,f5215]) ).
fof(f5215,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f5136,f4005]) ).
fof(f4005,plain,
! [X2,X5] : inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2,
inference(forward_demodulation,[],[f4004,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f4004,plain,
! [X2,X0,X1,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(forward_demodulation,[],[f3985,f53]) ).
fof(f3985,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(inverse(multiply(X0,X1)),X2))))),inverse(multiply(X4,multiply(inverse(X4),X4))))),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(superposition,[],[f4,f3561]) ).
fof(f3561,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),X2) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),inverse(multiply(X1,multiply(inverse(X1),X1))))),
inference(superposition,[],[f1049,f3416]) ).
fof(f3416,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(X1,multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f145,f93]) ).
fof(f93,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))),
inference(superposition,[],[f1,f53]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,multiply(X0,X1))),multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(multiply(X0,X1),multiply(inverse(multiply(X2,X1)),multiply(X2,X1)))))))) = X4,
inference(superposition,[],[f22,f95]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[],[f22,f53]) ).
fof(f22,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1))))))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f1049,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X5)) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),X5)),
inference(superposition,[],[f115,f53]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X3)) = multiply(inverse(multiply(X4,inverse(multiply(X1,multiply(inverse(X1),X1))))),multiply(X4,X3)),
inference(superposition,[],[f95,f53]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f1]) ).
fof(f5136,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),X1)) = multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X0,multiply(inverse(X0),X0)))))),
inference(superposition,[],[f1,f4811]) ).
fof(f4811,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f4645,f3747]) ).
fof(f3747,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f3561,f3416]) ).
fof(f4645,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f4103,f3747]) ).
fof(f4103,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[],[f3416,f3747]) ).
fof(f10822,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X3),inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(multiply(X4,X1)),multiply(X4,X1)))))))) = X3,
inference(superposition,[],[f145,f5454]) ).
fof(f5454,plain,
! [X2,X3,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X1)),
inference(superposition,[],[f4811,f5215]) ).
fof(f53,plain,
! [X3,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X5))),inverse(multiply(X4,multiply(inverse(X4),X4))))) = X5,
inference(superposition,[],[f20,f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),inverse(multiply(X3,multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f12362,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),X3) = multiply(X0,multiply(inverse(inverse(multiply(X1,multiply(inverse(X1),X1)))),X3)),
inference(forward_demodulation,[],[f12361,f12303]) ).
fof(f12303,plain,
! [X2,X1] : multiply(inverse(X1),X2) = inverse(multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f12302,f11036]) ).
fof(f11036,plain,
! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X2,X0)),multiply(X2,X1)),
inference(superposition,[],[f10896,f95]) ).
fof(f12302,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f12301,f11036]) ).
fof(f12301,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))),
inference(forward_demodulation,[],[f12020,f11036]) ).
fof(f12020,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X4,multiply(X3,X2))),multiply(X4,multiply(X3,X1)))),
inference(superposition,[],[f11066,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4)) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4)),
inference(superposition,[],[f95,f95]) ).
fof(f11066,plain,
! [X2,X1] : inverse(multiply(inverse(X1),multiply(inverse(X2),X2))) = X1,
inference(superposition,[],[f10896,f4645]) ).
fof(f12361,plain,
! [X3,X0,X1] : multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = multiply(multiply(X0,X1),X3),
inference(forward_demodulation,[],[f12360,f11066]) ).
fof(f12360,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(multiply(X0,X1),X3)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f12077,f12312]) ).
fof(f12312,plain,
! [X2,X0,X1,X4] : multiply(inverse(X0),multiply(X1,X2)) = inverse(multiply(multiply(inverse(X2),X4),multiply(inverse(multiply(X1,X4)),X0))),
inference(forward_demodulation,[],[f12311,f11036]) ).
fof(f12311,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(X1,X2)) = inverse(multiply(multiply(inverse(multiply(X3,X2)),multiply(X3,X4)),multiply(inverse(multiply(X1,X4)),X0))),
inference(forward_demodulation,[],[f12027,f12299]) ).
fof(f12299,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),X2) = inverse(multiply(inverse(X2),multiply(X0,X1))),
inference(forward_demodulation,[],[f12018,f11036]) ).
fof(f12018,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),X2) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,multiply(X0,X1)))),
inference(superposition,[],[f11066,f119]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f95,f95]) ).
fof(f12027,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(X1,X2)) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X2))),multiply(inverse(multiply(X1,X4)),X0))),
inference(superposition,[],[f11066,f111]) ).
fof(f12077,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(multiply(X0,X1),X3)),inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))),
inference(superposition,[],[f4,f11066]) ).
fof(f11536,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(unit_resulting_resolution,[],[f11017,f4347]) ).
fof(f4347,plain,
! [X0] :
( a2 != multiply(multiply(inverse(X0),X0),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f4124,f3747]) ).
fof(f4124,plain,
! [X0] :
( a2 != multiply(multiply(inverse(X0),X0),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f2,f3747]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f11017,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(superposition,[],[f10896,f5215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP049-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 06:09:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (8510)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (8513)WARNING: value z3 for option sas not known
% 0.13/0.36 % (8514)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (8516)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 theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (8512)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (8515)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 theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (8517)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 theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (8511)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (8513)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 theBenchmark for (569ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.20/0.40 TRYING [4]
% 6.28/1.29 TRYING [4]
% 7.41/1.40 % (8517)First to succeed.
% 7.41/1.40 % (8517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8510"
% 7.41/1.41 % (8517)Refutation found. Thanks to Tanya!
% 7.41/1.41 % SZS status Unsatisfiable for theBenchmark
% 7.41/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 7.41/1.41 % (8517)------------------------------
% 7.41/1.41 % (8517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.41/1.41 % (8517)Termination reason: Refutation
% 7.41/1.41
% 7.41/1.41 % (8517)Memory used [KB]: 21885
% 7.41/1.41 % (8517)Time elapsed: 1.043 s
% 7.41/1.41 % (8517)Instructions burned: 3547 (million)
% 7.41/1.41 % (8510)Success in time 1.051 s
%------------------------------------------------------------------------------