TSTP Solution File: GRP066-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP066-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 21:14:52 EDT 2024
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 45 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2190,plain,
$false,
inference(trivial_inequality_removal,[],[f2175]) ).
fof(f2175,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f287,f1826]) ).
fof(f1826,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f614,f283]) ).
fof(f283,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[],[f145,f250]) ).
fof(f250,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f246,f249]) ).
fof(f249,plain,
! [X0] : divide(multiply(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f192,f246]) ).
fof(f192,plain,
! [X0] : divide(divide(multiply(identity,X0),identity),identity) = X0,
inference(backward_demodulation,[],[f159,f187]) ).
fof(f187,plain,
! [X0] : multiply(identity,divide(X0,identity)) = divide(multiply(identity,X0),identity),
inference(superposition,[],[f159,f159]) ).
fof(f159,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(superposition,[],[f145,f12]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f6,f10]) ).
fof(f10,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f246,plain,
! [X0] : multiply(identity,X0) = divide(multiply(identity,X0),identity),
inference(backward_demodulation,[],[f187,f245]) ).
fof(f245,plain,
! [X0] : multiply(identity,X0) = multiply(identity,divide(X0,identity)),
inference(forward_demodulation,[],[f244,f14]) ).
fof(f14,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[],[f6,f3]) ).
fof(f244,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,divide(X0,identity)),
inference(forward_demodulation,[],[f243,f3]) ).
fof(f243,plain,
! [X0] : divide(identity,inverse(X0)) = multiply(identity,divide(X0,identity)),
inference(forward_demodulation,[],[f232,f12]) ).
fof(f232,plain,
! [X0] : divide(identity,inverse(X0)) = multiply(identity,multiply(X0,identity)),
inference(superposition,[],[f221,f145]) ).
fof(f221,plain,
! [X0] : divide(identity,inverse(divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f205,f10]) ).
fof(f205,plain,
! [X0] : divide(inverse(identity),inverse(divide(X0,identity))) = X0,
inference(superposition,[],[f127,f4]) ).
fof(f127,plain,
! [X0,X1] : divide(inverse(divide(X0,divide(X1,identity))),inverse(X0)) = X1,
inference(superposition,[],[f9,f4]) ).
fof(f9,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f145,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[],[f144,f6]) ).
fof(f144,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,inverse(X1))),X1) = X0,
inference(forward_demodulation,[],[f143,f3]) ).
fof(f143,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[],[f142,f14]) ).
fof(f142,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1) = X0,
inference(forward_demodulation,[],[f123,f3]) ).
fof(f123,plain,
! [X0,X1] : divide(inverse(divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f9,f10]) ).
fof(f614,plain,
! [X2,X0,X1] : multiply(multiply(divide(X1,multiply(X0,X2)),X0),X2) = X1,
inference(forward_demodulation,[],[f591,f6]) ).
fof(f591,plain,
! [X2,X0,X1] : multiply(divide(divide(X1,multiply(X0,X2)),inverse(X0)),X2) = X1,
inference(superposition,[],[f503,f251]) ).
fof(f251,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f14,f250]) ).
fof(f503,plain,
! [X2,X0,X1] : multiply(divide(divide(X1,multiply(inverse(X0),X2)),X0),X2) = X1,
inference(backward_demodulation,[],[f154,f491]) ).
fof(f491,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f283,f356]) ).
fof(f356,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(backward_demodulation,[],[f213,f281]) ).
fof(f281,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f249,f250]) ).
fof(f213,plain,
! [X0,X1] : multiply(inverse(divide(X0,divide(X1,identity))),X0) = X1,
inference(superposition,[],[f127,f6]) ).
fof(f154,plain,
! [X2,X0,X1] : multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f138,f6]) ).
fof(f138,plain,
! [X2,X0,X1] : multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2) = X1,
inference(superposition,[],[f9,f6]) ).
fof(f287,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f18,f250]) ).
fof(f18,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f17]) ).
fof(f17,plain,
( identity != identity
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f13,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f6,f4]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP066-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 04:08:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (16507)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (16510)WARNING: value z3 for option sas not known
% 0.13/0.36 % (16511)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (16513)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)
% 0.13/0.36 % (16508)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (16512)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)
% 0.13/0.36 % (16509)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (16514)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)
% 0.13/0.36 % (16510)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.39 TRYING [5]
% 0.13/0.40 TRYING [4]
% 0.19/0.42 % (16513)First to succeed.
% 0.19/0.42 % (16513)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16507"
% 0.19/0.43 % (16513)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.43 % (16513)------------------------------
% 0.19/0.43 % (16513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.43 % (16513)Termination reason: Refutation
% 0.19/0.43
% 0.19/0.43 % (16513)Memory used [KB]: 1486
% 0.19/0.43 % (16513)Time elapsed: 0.061 s
% 0.19/0.43 % (16513)Instructions burned: 93 (million)
% 0.19/0.43 % (16507)Success in time 0.077 s
%------------------------------------------------------------------------------