TSTP Solution File: ALG003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 18:21:42 EDT 2024
% Result : Unsatisfiable 30.86s 4.79s
% Output : Refutation 30.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 19 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55772,plain,
$false,
inference(subsumption_resolution,[],[f55771,f4132]) ).
fof(f4132,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X2,an_element)),multiply(an_element,multiply(X1,an_element))) = multiply(multiply(X0,multiply(X2,X1)),an_element),
inference(superposition,[],[f4051,f59]) ).
fof(f59,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(an_element,X0)),multiply(X2,an_element)) = multiply(multiply(X1,X2),multiply(an_element,multiply(X0,an_element))),
inference(superposition,[],[f3,f44]) ).
fof(f44,plain,
! [X0] : multiply(an_element,multiply(X0,an_element)) = multiply(multiply(an_element,X0),an_element),
inference(superposition,[],[f22,f4]) ).
fof(f4,axiom,
an_element = multiply(an_element,an_element),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotent_element) ).
fof(f22,plain,
! [X0,X1] : multiply(multiply(an_element,X0),multiply(an_element,X1)) = multiply(an_element,multiply(X0,X1)),
inference(superposition,[],[f3,f4]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(X0,X2),multiply(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',medial_law) ).
fof(f4051,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),an_element) = multiply(multiply(X0,multiply(an_element,X2)),multiply(multiply(X1,an_element),an_element)),
inference(forward_demodulation,[],[f3935,f25]) ).
fof(f25,plain,
! [X0,X1] : multiply(multiply(X0,an_element),multiply(X1,an_element)) = multiply(multiply(X0,X1),an_element),
inference(superposition,[],[f3,f4]) ).
fof(f3935,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(an_element,X2)),multiply(multiply(X1,an_element),an_element)) = multiply(multiply(X0,an_element),multiply(multiply(X1,X2),an_element)),
inference(superposition,[],[f80,f59]) ).
fof(f80,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(X0,an_element)),multiply(X3,multiply(X1,an_element))) = multiply(multiply(X2,X3),multiply(multiply(X0,X1),an_element)),
inference(superposition,[],[f3,f25]) ).
fof(f55771,plain,
multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)),an_element) != multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),an_element)),multiply(an_element,multiply(f,an_element))),
inference(forward_demodulation,[],[f55669,f30026]) ).
fof(f30026,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(X2,X3)),multiply(multiply(X1,X4),an_element)) = multiply(multiply(X0,multiply(X2,X4)),multiply(multiply(X1,X3),an_element)),
inference(forward_demodulation,[],[f29346,f25]) ).
fof(f29346,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(X2,X3)),multiply(multiply(X1,X4),an_element)) = multiply(multiply(X0,multiply(X2,X4)),multiply(multiply(X1,an_element),multiply(X3,an_element))),
inference(superposition,[],[f26,f80]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X4,multiply(X0,X1)),multiply(X5,multiply(X2,X3))) = multiply(multiply(X4,X5),multiply(multiply(X0,X2),multiply(X1,X3))),
inference(superposition,[],[f3,f3]) ).
fof(f55669,plain,
multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)),an_element) != multiply(multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),an_element)),multiply(an_element,multiply(f,an_element))),
inference(unit_resulting_resolution,[],[f2796,f55405]) ).
fof(f55405,plain,
! [X2,X3,X0,X1] :
( multiply(X3,an_element) != multiply(multiply(X0,multiply(X1,an_element)),multiply(an_element,multiply(X2,an_element)))
| multiply(X0,multiply(X1,X2)) = X3 ),
inference(forward_demodulation,[],[f55404,f44]) ).
fof(f55404,plain,
! [X2,X3,X0,X1] :
( multiply(X3,an_element) != multiply(multiply(X0,multiply(X1,an_element)),multiply(multiply(an_element,X2),an_element))
| multiply(X0,multiply(X1,X2)) = X3 ),
inference(forward_demodulation,[],[f55403,f4]) ).
fof(f55403,plain,
! [X2,X3,X0,X1] :
( multiply(multiply(X0,multiply(X1,an_element)),multiply(multiply(an_element,X2),an_element)) != multiply(X3,multiply(an_element,an_element))
| multiply(X0,multiply(X1,X2)) = X3 ),
inference(forward_demodulation,[],[f54250,f4]) ).
fof(f54250,plain,
! [X2,X3,X0,X1] :
( multiply(multiply(X0,multiply(X1,an_element)),multiply(multiply(an_element,X2),an_element)) != multiply(X3,multiply(an_element,multiply(an_element,an_element)))
| multiply(X0,multiply(X1,X2)) = X3 ),
inference(superposition,[],[f487,f3920]) ).
fof(f3920,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(X0,an_element)),multiply(multiply(X3,X1),an_element)) = multiply(multiply(X2,multiply(X3,an_element)),multiply(multiply(X0,X1),an_element)),
inference(superposition,[],[f80,f25]) ).
fof(f487,plain,
! [X2,X3,X0,X1] :
( multiply(multiply(X1,multiply(an_element,X0)),multiply(X2,an_element)) != multiply(X3,multiply(an_element,multiply(X0,an_element)))
| multiply(X1,X2) = X3 ),
inference(superposition,[],[f36,f44]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] :
( multiply(multiply(X0,X2),multiply(X1,X3)) != multiply(X4,multiply(X2,X3))
| multiply(X0,X1) = X4 ),
inference(superposition,[],[f7,f3]) ).
fof(f7,plain,
! [X3,X0,X1] :
( multiply(X0,X1) != multiply(X3,X1)
| X0 = X3 ),
inference(equality_resolution,[],[f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| multiply(X3,X1) != X2
| multiply(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
fof(f2796,plain,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),
inference(superposition,[],[f5,f3]) ).
fof(f5,axiom,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 22:43:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (22472)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (22475)WARNING: value z3 for option sas not known
% 0.22/0.39 % (22474)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (22478)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)
% 0.22/0.39 % (22475)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)
% 0.22/0.39 % (22479)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)
% 0.22/0.39 % (22476)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (22473)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (22477)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.52 TRYING [4]
% 7.78/1.48 TRYING [1]
% 7.78/1.48 TRYING [2]
% 7.78/1.49 TRYING [3]
% 7.78/1.52 TRYING [4]
% 14.94/2.52 TRYING [5]
% 21.33/3.46 TRYING [5]
% 30.86/4.78 % (22479)First to succeed.
% 30.86/4.78 % (22479)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22472"
% 30.86/4.79 % (22479)Refutation found. Thanks to Tanya!
% 30.86/4.79 % SZS status Unsatisfiable for theBenchmark
% 30.86/4.79 % SZS output start Proof for theBenchmark
% See solution above
% 30.86/4.79 % (22479)------------------------------
% 30.86/4.79 % (22479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.86/4.79 % (22479)Termination reason: Refutation
% 30.86/4.79
% 30.86/4.79 % (22479)Memory used [KB]: 19085
% 30.86/4.79 % (22479)Time elapsed: 4.398 s
% 30.86/4.79 % (22479)Instructions burned: 8463 (million)
% 30.86/4.79 % (22472)Success in time 4.407 s
%------------------------------------------------------------------------------