TSTP Solution File: GRP087-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP087-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 11:51:30 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 26 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1259,plain,
$false,
inference(subsumption_resolution,[],[f1258,f476]) ).
fof(f476,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f413,f129]) ).
fof(f129,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f85,f56]) ).
fof(f56,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[],[f32,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = multiply(multiply(X2,X0),X3),
inference(forward_demodulation,[],[f22,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X2,X0),
inference(superposition,[],[f11,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),X3) = multiply(X2,multiply(X0,X3)),
inference(superposition,[],[f21,f1]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(inverse(X1),X2),multiply(X1,X0)),
inference(forward_demodulation,[],[f18,f17]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(inverse(X0),X3)),X1),X3)) = multiply(X2,X0),
inference(superposition,[],[f11,f3]) ).
fof(f85,plain,
! [X3,X0] : multiply(X0,multiply(inverse(X0),X3)) = X3,
inference(forward_demodulation,[],[f84,f11]) ).
fof(f84,plain,
! [X2,X3,X0] : multiply(X0,multiply(inverse(X0),multiply(multiply(inverse(X2),X3),X2))) = X3,
inference(forward_demodulation,[],[f58,f36]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X3,X2)) = multiply(X3,multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),
inference(forward_demodulation,[],[f35,f32]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = multiply(inverse(X0),multiply(X3,X2)),
inference(forward_demodulation,[],[f24,f32]) ).
fof(f24,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = multiply(multiply(inverse(X0),X3),X2),
inference(superposition,[],[f21,f1]) ).
fof(f58,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(inverse(multiply(X0,X1)),multiply(X2,X1)))) = X3,
inference(superposition,[],[f3,f32]) ).
fof(f413,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[],[f393,f129]) ).
fof(f393,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f185,f32]) ).
fof(f185,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f11,f129]) ).
fof(f1258,plain,
a2 != multiply(multiply(b2,inverse(b2)),a2),
inference(forward_demodulation,[],[f1183,f129]) ).
fof(f1183,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(unit_resulting_resolution,[],[f129,f32,f854,f2]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f854,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f135,f103]) ).
fof(f103,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f56,f1]) ).
fof(f135,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X1)),X1) = X0,
inference(superposition,[],[f56,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP087-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.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 : Tue Apr 30 04:20:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28922)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (28925)WARNING: value z3 for option sas not known
% 0.21/0.37 % (28926)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (28924)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (28925)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)
% 0.21/0.37 % (28923)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (28928)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)
% 0.21/0.37 % (28927)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)
% 0.21/0.37 % (28929)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.41 % (28929)First to succeed.
% 0.21/0.41 % (28929)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (28929)------------------------------
% 0.21/0.41 % (28929)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (28929)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (28929)Memory used [KB]: 1425
% 0.21/0.41 % (28929)Time elapsed: 0.042 s
% 0.21/0.41 % (28929)Instructions burned: 73 (million)
% 0.21/0.41 % (28929)------------------------------
% 0.21/0.41 % (28929)------------------------------
% 0.21/0.41 % (28922)Success in time 0.057 s
%------------------------------------------------------------------------------