TSTP Solution File: GRP515-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP515-1 : 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 : n032.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 21:31:14 EDT 2024
% Result : Unsatisfiable 0.16s 0.43s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3166,plain,
$false,
inference(trivial_inequality_removal,[],[f3123]) ).
fof(f3123,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f335]) ).
fof(f335,plain,
! [X2,X3,X1] : multiply(multiply(X2,X3),X1) = multiply(X2,multiply(X3,X1)),
inference(backward_demodulation,[],[f126,f334]) ).
fof(f334,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f267,f293]) ).
fof(f293,plain,
! [X2,X3,X1] : multiply(multiply(X2,X1),X3) = multiply(X1,multiply(X2,X3)),
inference(backward_demodulation,[],[f103,f291]) ).
fof(f291,plain,
! [X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(X0,inverse(multiply(X3,inverse(X1))))),
inference(backward_demodulation,[],[f40,f277]) ).
fof(f277,plain,
! [X2,X3,X1] : multiply(X3,multiply(X2,inverse(multiply(X2,X1)))) = multiply(X3,inverse(X1)),
inference(backward_demodulation,[],[f47,f253]) ).
fof(f253,plain,
! [X2,X0,X1] : multiply(X1,inverse(X2)) = multiply(X0,multiply(X1,inverse(multiply(X0,X2)))),
inference(superposition,[],[f154,f83]) ).
fof(f83,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X2,inverse(multiply(X0,X1)))),X1) = X2,
inference(superposition,[],[f57,f36]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X0,X1),multiply(X2,inverse(X0))),
inference(superposition,[],[f3,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f12]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[],[f3,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f57,plain,
! [X3,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X3,inverse(X0))),inverse(X1))) = X3,
inference(backward_demodulation,[],[f4,f43]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = multiply(X1,multiply(X3,inverse(X0))),
inference(superposition,[],[f36,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f154,plain,
! [X2,X1] : multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(forward_demodulation,[],[f130,f108]) ).
fof(f108,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f57,f83]) ).
fof(f130,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),inverse(multiply(multiply(X0,inverse(X0)),X2))) = X1,
inference(superposition,[],[f108,f1]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X2,inverse(multiply(X2,X1)))) = multiply(X0,multiply(X3,inverse(multiply(X0,X1)))),
inference(superposition,[],[f36,f21]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(X0,inverse(multiply(X3,multiply(X2,inverse(multiply(X2,X1))))))),
inference(superposition,[],[f1,f21]) ).
fof(f103,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(X0,inverse(multiply(X2,X3)))))) = multiply(multiply(X2,X1),X3),
inference(superposition,[],[f83,f83]) ).
fof(f267,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f36,f154]) ).
fof(f126,plain,
! [X2,X3,X1] : multiply(multiply(X2,X1),X3) = multiply(multiply(X2,X3),X1),
inference(backward_demodulation,[],[f117,f118]) ).
fof(f118,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(X0,multiply(X1,inverse(multiply(X0,inverse(X2))))),
inference(superposition,[],[f12,f83]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(multiply(X0,inverse(X2))))),X3) = multiply(multiply(X2,X3),X1),
inference(superposition,[],[f36,f83]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP515-1 : TPTP v8.2.0. Released v2.6.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 05:12:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.31 % (3868)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (3871)WARNING: value z3 for option sas not known
% 0.16/0.33 % (3875)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)
% 0.16/0.33 % (3873)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)
% 0.16/0.33 % (3871)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)
% 0.16/0.33 % (3872)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (3870)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (3869)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (3874)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [4]
% 0.16/0.34 TRYING [4]
% 0.16/0.35 TRYING [5]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.39 TRYING [4]
% 0.16/0.40 TRYING [5]
% 0.16/0.43 % (3874)First to succeed.
% 0.16/0.43 % (3874)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3868"
% 0.16/0.43 % (3874)Refutation found. Thanks to Tanya!
% 0.16/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.43 % (3874)------------------------------
% 0.16/0.43 % (3874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.43 % (3874)Termination reason: Refutation
% 0.16/0.43
% 0.16/0.43 % (3874)Memory used [KB]: 2164
% 0.16/0.43 % (3874)Time elapsed: 0.101 s
% 0.16/0.43 % (3874)Instructions burned: 212 (million)
% 0.16/0.43 % (3868)Success in time 0.115 s
%------------------------------------------------------------------------------