TSTP Solution File: GRP410-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 06:08:31 EDT 2024
% Result : Unsatisfiable 2.83s 0.75s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 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 : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15593,plain,
$false,
inference(subsumption_resolution,[],[f15469,f15069]) ).
fof(f15069,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(forward_demodulation,[],[f14800,f79]) ).
fof(f79,plain,
! [X2,X3,X1] : multiply(multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f14800,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(multiply(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f79,f6032]) ).
fof(f6032,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(X2))) = inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),
inference(forward_demodulation,[],[f5996,f2069]) ).
fof(f2069,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f801,f669]) ).
fof(f669,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(superposition,[],[f594,f1]) ).
fof(f594,plain,
! [X2,X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f263,f1]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X3))),
inference(superposition,[],[f204,f1]) ).
fof(f204,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X1))),
inference(superposition,[],[f143,f1]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X0,inverse(X2))))),
inference(superposition,[],[f74,f75]) ).
fof(f75,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X3,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X3,inverse(X2))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f74,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(X1,X2)))),multiply(X4,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f3,f3]) ).
fof(f801,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1))) = X3,
inference(superposition,[],[f1,f669]) ).
fof(f5996,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))) = multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X3)))),multiply(X4,inverse(multiply(X0,inverse(X2))))),inverse(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(X2))))),
inference(superposition,[],[f1,f1076]) ).
fof(f1076,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)))),multiply(X3,inverse(X1))),
inference(superposition,[],[f75,f948]) ).
fof(f948,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f872,f801]) ).
fof(f872,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1)))),X3),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f5,f669]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f15469,plain,
! [X1] : a2 != multiply(inverse(multiply(inverse(X1),X1)),a2),
inference(superposition,[],[f8772,f15069]) ).
fof(f8772,plain,
! [X2,X1] : a2 != multiply(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))),a2),
inference(superposition,[],[f2296,f7864]) ).
fof(f7864,plain,
! [X3,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f7405,f1]) ).
fof(f7405,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f7122,f6032]) ).
fof(f7122,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1)))),multiply(X2,inverse(X1)))),
inference(superposition,[],[f6123,f3]) ).
fof(f6123,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X2),X2))) = inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f6032,f948]) ).
fof(f2296,plain,
! [X0,X1] : a2 != multiply(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1))),a2),
inference(superposition,[],[f823,f2111]) ).
fof(f2111,plain,
! [X2,X3,X1] : multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f801,f75]) ).
fof(f823,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f2,f669]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:37:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (2084)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (2087)WARNING: value z3 for option sas not known
% 0.22/0.38 % (2085)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (2088)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (2086)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (2087)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 % (2090)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)
% 0.22/0.38 % (2089)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)
% 0.22/0.38 % (2091)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.41 TRYING [4]
% 1.30/0.54 TRYING [4]
% 2.83/0.75 % (2091)First to succeed.
% 2.83/0.75 % (2091)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2084"
% 2.83/0.75 % (2091)Refutation found. Thanks to Tanya!
% 2.83/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.83/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.83/0.75 % (2091)------------------------------
% 2.83/0.75 % (2091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.83/0.75 % (2091)Termination reason: Refutation
% 2.83/0.75
% 2.83/0.75 % (2091)Memory used [KB]: 7424
% 2.83/0.75 % (2091)Time elapsed: 0.371 s
% 2.83/0.75 % (2091)Instructions burned: 1121 (million)
% 2.83/0.75 % (2084)Success in time 0.377 s
%------------------------------------------------------------------------------