TSTP Solution File: GRP412-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP412-1 : 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 : n023.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 : Tue Apr 30 12:06:33 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 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 : 14 ( 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2921,plain,
$false,
inference(subsumption_resolution,[],[f2691,f2303]) ).
fof(f2303,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f1922,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f1922,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X0))),
inference(superposition,[],[f24,f1778]) ).
fof(f1778,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X2),X2))),X3)),
inference(superposition,[],[f1749,f1]) ).
fof(f1749,plain,
! [X2,X3,X4] : inverse(X2) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)))),X2)),
inference(forward_demodulation,[],[f1688,f1]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2)))),X1))) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)))),X2)),
inference(superposition,[],[f18,f167]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X0)),multiply(X4,X3)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X3)),
inference(superposition,[],[f115,f54]) ).
fof(f54,plain,
! [X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,X5)))),X4)) = X5,
inference(superposition,[],[f22,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),multiply(inverse(multiply(X0,inverse(X1))),X2)))),X3)) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),X3))),X2)) = multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X3)),X1))),
inference(superposition,[],[f1,f1]) ).
fof(f115,plain,
! [X3,X6,X4,X5] : multiply(inverse(multiply(X4,X3)),multiply(X4,X5)) = multiply(inverse(multiply(X6,X3)),multiply(X6,X5)),
inference(superposition,[],[f87,f22]) ).
fof(f87,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)) = multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,X2)),
inference(superposition,[],[f24,f54]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X0))),inverse(X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)))),X3)) = multiply(X4,inverse(multiply(X2,X0))),
inference(superposition,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f2691,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(inverse(X0),X0),
inference(superposition,[],[f2,f2303]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP412-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 04:47:40 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (30717)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (30720)WARNING: value z3 for option sas not known
% 0.12/0.36 % (30720)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)
% 0.12/0.36 % (30719)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (30724)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)
% 0.12/0.36 % (30722)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)
% 0.12/0.36 % (30721)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (30723)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.37 % (30718)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.12/0.39 TRYING [4]
% 0.19/0.46 TRYING [4]
% 0.19/0.50 % (30720)First to succeed.
% 0.19/0.50 % (30720)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (30720)------------------------------
% 0.19/0.50 % (30720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.50 % (30720)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (30720)Memory used [KB]: 3718
% 0.19/0.50 % (30720)Time elapsed: 0.135 s
% 0.19/0.50 % (30720)Instructions burned: 390 (million)
% 0.19/0.50 % (30720)------------------------------
% 0.19/0.50 % (30720)------------------------------
% 0.19/0.50 % (30717)Success in time 0.149 s
%------------------------------------------------------------------------------