TSTP Solution File: ALG004-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG004-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 04:14:37 EDT 2024
% Result : Unsatisfiable 12.77s 2.15s
% Output : Refutation 12.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 18 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29997,plain,
$false,
inference(subsumption_resolution,[],[f29996,f4606]) ).
fof(f4606,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(c,X1),multiply(c0,X2))) != multiply(X0,multiply(multiply(d,X1),multiply(d0,X2))),
inference(unit_resulting_resolution,[],[f4567,f8]) ).
fof(f8,plain,
! [X3,X0,X1] :
( multiply(X0,X1) != multiply(X0,X3)
| X1 = X3 ),
inference(equality_resolution,[],[f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( X1 = X3
| multiply(X0,X3) != X2
| multiply(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_cancelaation) ).
fof(f4567,plain,
! [X0,X1] : multiply(multiply(c,X0),multiply(c0,X1)) != multiply(multiply(d,X0),multiply(d0,X1)),
inference(superposition,[],[f4270,f3]) ).
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(f4270,plain,
! [X0,X1] : multiply(multiply(c,c0),multiply(X0,X1)) != multiply(multiply(d,X0),multiply(d0,X1)),
inference(unit_resulting_resolution,[],[f7,f103]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4] :
( multiply(multiply(X0,X2),multiply(X1,X3)) != multiply(X4,multiply(X2,X3))
| multiply(X0,X1) = X4 ),
inference(superposition,[],[f9,f3]) ).
fof(f9,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(f7,axiom,
multiply(d,d0) != multiply(c,c0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_quotient_condition4) ).
fof(f29996,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(b,b0)),multiply(multiply(c,X2),multiply(c0,X0))) = multiply(multiply(X1,multiply(b,b0)),multiply(multiply(d,X2),multiply(d0,X0))),
inference(forward_demodulation,[],[f29995,f13199]) ).
fof(f13199,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,multiply(X3,X5)),multiply(multiply(X1,X2),multiply(X4,X6))) = multiply(multiply(X0,multiply(X3,X4)),multiply(multiply(X1,X5),multiply(X2,X6))),
inference(superposition,[],[f79,f79]) ).
fof(f79,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(f29995,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(b,d0)),multiply(multiply(d,b0),multiply(X2,X0))) = multiply(multiply(X1,multiply(b,b0)),multiply(multiply(c,X2),multiply(c0,X0))),
inference(forward_demodulation,[],[f29340,f3]) ).
fof(f29340,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(b,d0)),multiply(multiply(d,b0),multiply(X2,X0))) = multiply(multiply(X1,multiply(c,X2)),multiply(multiply(b,b0),multiply(c0,X0))),
inference(superposition,[],[f150,f121]) ).
fof(f121,plain,
! [X0] : multiply(multiply(b,b0),multiply(c0,X0)) = multiply(multiply(b,d0),multiply(a0,X0)),
inference(superposition,[],[f71,f6]) ).
fof(f6,axiom,
multiply(b,d0) = multiply(a,c0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_quotient_condition3) ).
fof(f71,plain,
! [X0,X1] : multiply(multiply(a,X0),multiply(a0,X1)) = multiply(multiply(b,b0),multiply(X0,X1)),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
multiply(b,b0) = multiply(a,a0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_quotient_condition1) ).
fof(f150,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(c,X0)),multiply(X3,multiply(a0,X1))) = multiply(multiply(X2,X3),multiply(multiply(d,b0),multiply(X0,X1))),
inference(superposition,[],[f3,f72]) ).
fof(f72,plain,
! [X0,X1] : multiply(multiply(c,X0),multiply(a0,X1)) = multiply(multiply(d,b0),multiply(X0,X1)),
inference(superposition,[],[f3,f5]) ).
fof(f5,axiom,
multiply(d,b0) = multiply(c,a0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_quotient_condition2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG004-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 19:59:53 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (16415)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (16418)WARNING: value z3 for option sas not known
% 0.16/0.33 % (16420)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 % (16416)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (16418)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 % (16417)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 % (16419)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (16421)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 % (16422)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 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.36 TRYING [4]
% 0.16/0.42 TRYING [4]
% 3.33/0.85 TRYING [5]
% 7.61/1.43 TRYING [1]
% 7.61/1.43 TRYING [2]
% 7.61/1.43 TRYING [3]
% 7.61/1.46 TRYING [4]
% 12.43/2.10 TRYING [5]
% 12.77/2.15 % (16422)First to succeed.
% 12.77/2.15 % (16422)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16415"
% 12.77/2.15 % (16422)Refutation found. Thanks to Tanya!
% 12.77/2.15 % SZS status Unsatisfiable for theBenchmark
% 12.77/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 12.77/2.15 % (16422)------------------------------
% 12.77/2.15 % (16422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.77/2.15 % (16422)Termination reason: Refutation
% 12.77/2.15
% 12.77/2.15 % (16422)Memory used [KB]: 12881
% 12.77/2.15 % (16422)Time elapsed: 1.820 s
% 12.77/2.15 % (16422)Instructions burned: 4032 (million)
% 12.77/2.15 % (16415)Success in time 1.819 s
%------------------------------------------------------------------------------