TSTP Solution File: GRP402-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 06:08:30 EDT 2024
% Result : Unsatisfiable 4.10s 0.94s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29884,plain,
$false,
inference(unit_resulting_resolution,[],[f5,f29755,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( multiply(X0,X2) != multiply(X1,X0)
| multiply(X1,commutator(X1,X0)) = X2 ),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X3,X4] : multiply(X3,X4) = multiply(X4,multiply(X3,commutator(X3,X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutator) ).
fof(f3,axiom,
! [X3,X4,X5] :
( multiply(X3,X4) != multiply(X3,X5)
| X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
fof(f29755,plain,
! [X1] : multiply(X1,commutator(commutator(a,b),c)) != X1,
inference(forward_demodulation,[],[f29738,f77]) ).
fof(f77,plain,
! [X0,X1] : multiply(commutator(X0,X0),X1) = X1,
inference(unit_resulting_resolution,[],[f34,f3]) ).
fof(f34,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(commutator(X0,X0),X1)),
inference(superposition,[],[f1,f21]) ).
fof(f21,plain,
! [X0] : multiply(X0,commutator(X0,X0)) = X0,
inference(unit_resulting_resolution,[],[f4,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f29738,plain,
! [X0,X1] : multiply(commutator(X0,X0),X1) != multiply(X1,commutator(commutator(a,b),c)),
inference(superposition,[],[f6156,f28650]) ).
fof(f28650,plain,
! [X2,X3,X0,X1] : commutator(X0,X0) = commutator(X1,commutator(X2,X3)),
inference(unit_resulting_resolution,[],[f28482,f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( multiply(X0,X2) != X0
| commutator(X1,X1) = X2 ),
inference(superposition,[],[f3,f111]) ).
fof(f111,plain,
! [X0,X1] : multiply(X1,commutator(X0,X0)) = X1,
inference(superposition,[],[f77,f5]) ).
fof(f28482,plain,
! [X2,X0,X1] : multiply(X0,commutator(X0,commutator(X1,X2))) = X0,
inference(unit_resulting_resolution,[],[f5,f25]) ).
fof(f6156,plain,
! [X0] : multiply(commutator(a,commutator(b,c)),X0) != multiply(X0,commutator(commutator(a,b),c)),
inference(superposition,[],[f8,f5]) ).
fof(f8,plain,
! [X0] : multiply(commutator(commutator(a,b),c),X0) != multiply(commutator(a,commutator(b,c)),X0),
inference(unit_resulting_resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X3,X4,X5] :
( multiply(X3,X4) != multiply(X5,X4)
| X3 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_cancellation) ).
fof(f6,axiom,
commutator(commutator(a,b),c) != commutator(a,commutator(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutator_is_associative) ).
fof(f5,axiom,
! [X3,X4,X5] : multiply(commutator(X3,X4),X5) = multiply(X5,commutator(X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nilpotency) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:41:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (32195)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (32198)WARNING: value z3 for option sas not known
% 0.15/0.39 % (32196)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (32198)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (32197)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (32199)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (32200)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (32201)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)
% 0.15/0.39 % (32202)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)
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [4]
% 0.22/0.46 TRYING [6]
% 0.22/0.53 TRYING [5]
% 1.78/0.61 TRYING [7]
% 4.10/0.94 % (32202)First to succeed.
% 4.10/0.94 % (32202)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32195"
% 4.10/0.94 % (32202)Refutation found. Thanks to Tanya!
% 4.10/0.94 % SZS status Unsatisfiable for theBenchmark
% 4.10/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/0.94 % (32202)------------------------------
% 4.10/0.94 % (32202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.10/0.94 % (32202)Termination reason: Refutation
% 4.10/0.94
% 4.10/0.94 % (32202)Memory used [KB]: 3617
% 4.10/0.94 % (32202)Time elapsed: 0.549 s
% 4.10/0.94 % (32202)Instructions burned: 1301 (million)
% 4.10/0.94 % (32195)Success in time 0.562 s
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