TSTP Solution File: GRP415-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP415-1 : 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 : n004.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 12:06:35 EDT 2024
% Result : Unsatisfiable 1.34s 0.56s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 16 ( 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4052,plain,
$false,
inference(unit_resulting_resolution,[],[f2,f3799]) ).
fof(f3799,plain,
! [X2,X3] : multiply(inverse(X3),X3) = multiply(inverse(X2),X2),
inference(superposition,[],[f2986,f143]) ).
fof(f143,plain,
! [X2,X1,X5] : multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f104,f24]) ).
fof(f24,plain,
! [X2,X3,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f104,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f44,f4]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f22]) ).
fof(f22,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f2986,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2805,f1671]) ).
fof(f1671,plain,
! [X2,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f273,f143]) ).
fof(f273,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f143]) ).
fof(f2805,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(superposition,[],[f109,f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X2),X2))))))),
inference(superposition,[],[f109,f109]) ).
fof(f109,plain,
! [X2,X3,X1] : multiply(X1,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))))) = X2,
inference(superposition,[],[f22,f44]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP415-1 : TPTP v8.1.2. 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 : n004.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 04:15:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (2059)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2062)WARNING: value z3 for option sas not known
% 0.14/0.37 % (2061)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (2060)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (2063)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (2062)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)
% 0.14/0.37 % (2064)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)
% 0.14/0.37 % (2065)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)
% 0.14/0.37 % (2066)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.46 TRYING [4]
% 1.34/0.56 % (2066)First to succeed.
% 1.34/0.56 % (2066)Refutation found. Thanks to Tanya!
% 1.34/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.56 % (2066)------------------------------
% 1.34/0.56 % (2066)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.34/0.56 % (2066)Termination reason: Refutation
% 1.34/0.56
% 1.34/0.56 % (2066)Memory used [KB]: 3569
% 1.34/0.56 % (2066)Time elapsed: 0.189 s
% 1.34/0.56 % (2066)Instructions burned: 495 (million)
% 1.34/0.56 % (2066)------------------------------
% 1.34/0.56 % (2066)------------------------------
% 1.34/0.56 % (2059)Success in time 0.194 s
%------------------------------------------------------------------------------