TSTP Solution File: GRP118-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP118-1 : TPTP v8.1.2. Released v1.2.0.
% 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 11:51:36 EDT 2024
% Result : Unsatisfiable 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f742,plain,
$false,
inference(trivial_inequality_removal,[],[f704]) ).
fof(f704,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(superposition,[],[f2,f501]) ).
fof(f501,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f500,f219]) ).
fof(f219,plain,
! [X2,X1] : multiply(multiply(X1,X2),multiply(X2,X2)) = X1,
inference(superposition,[],[f168,f41]) ).
fof(f41,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))) = X1,
inference(forward_demodulation,[],[f40,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f40,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(identity,multiply(X2,X2))))) = X1,
inference(forward_demodulation,[],[f39,f12]) ).
fof(f39,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
inference(forward_demodulation,[],[f25,f12]) ).
fof(f25,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,X2))),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f168,plain,
! [X0,X1] : multiply(X1,multiply(X1,multiply(X1,X0))) = X0,
inference(superposition,[],[f75,f158]) ).
fof(f158,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f157,f107]) ).
fof(f107,plain,
! [X0,X1] : multiply(multiply(X0,multiply(X1,X1)),X1) = X0,
inference(superposition,[],[f41,f41]) ).
fof(f157,plain,
! [X0,X1] : multiply(X0,multiply(multiply(identity,multiply(X1,X1)),X1)) = X0,
inference(forward_demodulation,[],[f142,f12]) ).
fof(f142,plain,
! [X0,X1] : multiply(X0,multiply(multiply(multiply(identity,X1),multiply(identity,X1)),X1)) = X0,
inference(superposition,[],[f107,f12]) ).
fof(f75,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[],[f60,f12]) ).
fof(f60,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[],[f22,f12]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f500,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(multiply(X2,X2),multiply(X2,X2)))),
inference(forward_demodulation,[],[f499,f251]) ).
fof(f251,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f107,f213]) ).
fof(f213,plain,
! [X0] : identity = multiply(X0,multiply(X0,X0)),
inference(superposition,[],[f168,f158]) ).
fof(f499,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(multiply(X2,X2),multiply(X2,X2))))),
inference(forward_demodulation,[],[f243,f251]) ).
fof(f243,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,X2),multiply(X2,X2)))))),
inference(forward_demodulation,[],[f5,f12]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))),
inference(superposition,[],[f1,f1]) ).
fof(f2,axiom,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_order3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP118-1 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n024.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 04:19:51 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (28097)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (28100)WARNING: value z3 for option sas not known
% 0.12/0.35 % (28103)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)
% 0.12/0.35 % (28102)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)
% 0.12/0.35 % (28101)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (28099)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 % (28100)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 TRYING [1]
% 0.12/0.36 % (28104)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 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 % (28098)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 % (28100)First to succeed.
% 0.12/0.37 % (28100)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (28100)------------------------------
% 0.12/0.37 % (28100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (28100)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (28100)Memory used [KB]: 1084
% 0.12/0.37 % (28100)Time elapsed: 0.018 s
% 0.12/0.37 % (28100)Instructions burned: 35 (million)
% 0.12/0.37 % (28100)------------------------------
% 0.12/0.37 % (28100)------------------------------
% 0.12/0.37 % (28097)Success in time 0.032 s
%------------------------------------------------------------------------------