TSTP Solution File: GRP404-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP404-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 21:30:21 EDT 2024
% Result : Unsatisfiable 3.93s 1.00s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15458,plain,
$false,
inference(trivial_inequality_removal,[],[f15344]) ).
fof(f15344,plain,
a2 != a2,
inference(superposition,[],[f6009,f14959]) ).
fof(f14959,plain,
! [X2,X3] : multiply(inverse(multiply(inverse(X2),X2)),X3) = X3,
inference(forward_demodulation,[],[f14873,f12992]) ).
fof(f12992,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,[],[f4806,f5424]) ).
fof(f5424,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X0),X0))),
inference(superposition,[],[f5386,f5386]) ).
fof(f5386,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f5307,f4007]) ).
fof(f4007,plain,
! [X2,X5] : inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2,
inference(forward_demodulation,[],[f4006,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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f4006,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,[],[f3908,f53]) ).
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(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(f3908,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,f3560]) ).
fof(f3560,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,f3415]) ).
fof(f3415,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(f5307,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,f4974]) ).
fof(f4974,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f4806,f3746]) ).
fof(f3746,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f3560,f3415]) ).
fof(f4806,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f4109,f3746]) ).
fof(f4109,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[],[f3415,f3746]) ).
fof(f14873,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,f5632]) ).
fof(f5632,plain,
! [X2,X3,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X1)),
inference(superposition,[],[f4974,f5386]) ).
fof(f6009,plain,
! [X0,X1] : a2 != multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))),a2),
inference(superposition,[],[f5461,f5303]) ).
fof(f5303,plain,
! [X2,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[],[f4416,f4974]) ).
fof(f4416,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X0,multiply(inverse(X1),X1))))) = X0,
inference(superposition,[],[f4007,f3746]) ).
fof(f5461,plain,
! [X1] : a2 != multiply(inverse(multiply(inverse(X1),X1)),a2),
inference(superposition,[],[f4130,f5386]) ).
fof(f4130,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f2,f3746]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP404-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.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 : Sun May 19 05:26:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (10784)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10791)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)
% 0.14/0.37 % (10790)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)
% 0.14/0.38 % (10785)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (10787)WARNING: value z3 for option sas not known
% 0.22/0.38 % (10787)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)
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (10789)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)
% 0.22/0.39 % (10786)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (10788)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.49 TRYING [4]
% 3.93/0.99 % (10791)First to succeed.
% 3.93/1.00 % (10791)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10784"
% 3.93/1.00 % (10791)Refutation found. Thanks to Tanya!
% 3.93/1.00 % SZS status Unsatisfiable for theBenchmark
% 3.93/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/1.00 % (10791)------------------------------
% 3.93/1.00 % (10791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.93/1.00 % (10791)Termination reason: Refutation
% 3.93/1.00
% 3.93/1.00 % (10791)Memory used [KB]: 10939
% 3.93/1.00 % (10791)Time elapsed: 0.628 s
% 3.93/1.00 % (10791)Instructions burned: 1425 (million)
% 3.93/1.00 % (10784)Success in time 0.646 s
%------------------------------------------------------------------------------