TSTP Solution File: GRP117-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP117-1 : 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 : n028.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 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(trivial_inequality_removal,[],[f180]) ).
fof(f180,plain,
a != a,
inference(superposition,[],[f2,f157]) ).
fof(f157,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f151,f117]) ).
fof(f117,plain,
! [X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(identity,identity))))) = X0,
inference(superposition,[],[f49,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(f49,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))) = X1,
inference(forward_demodulation,[],[f48,f12]) ).
fof(f48,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(multiply(X1,X2),X2),multiply(identity,X2))))) = X1,
inference(forward_demodulation,[],[f47,f42]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)) = multiply(X0,multiply(multiply(X1,X2),X3)),
inference(forward_demodulation,[],[f28,f12]) ).
fof(f28,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)) = multiply(multiply(X0,multiply(X1,X2)),multiply(identity,X3)),
inference(superposition,[],[f12,f12]) ).
fof(f47,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,[],[f33,f12]) ).
fof(f33,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(f151,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(identity,identity))))),
inference(superposition,[],[f49,f118]) ).
fof(f118,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(superposition,[],[f49,f86]) ).
fof(f86,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[],[f70,f12]) ).
fof(f70,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[],[f31,f12]) ).
fof(f31,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f2,axiom,
a != multiply(a,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_order3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n028.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 04:48:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (27322)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (27325)WARNING: value z3 for option sas not known
% 0.14/0.37 % (27326)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (27328)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 % (27323)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (27329)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)
% 0.14/0.37 % (27325)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 % (27324)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 % (27327)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 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (27329)First to succeed.
% 0.14/0.38 % (27325)Also succeeded, but the first one will report.
% 0.14/0.38 % (27329)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (27329)------------------------------
% 0.14/0.38 % (27329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (27329)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (27329)Memory used [KB]: 926
% 0.14/0.38 % (27329)Time elapsed: 0.009 s
% 0.14/0.38 % (27329)Instructions burned: 13 (million)
% 0.14/0.38 % (27329)------------------------------
% 0.14/0.38 % (27329)------------------------------
% 0.14/0.38 % (27322)Success in time 0.015 s
%------------------------------------------------------------------------------