TSTP Solution File: BOO002-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO002-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 18:58:37 EDT 2024
% Result : Unsatisfiable 12.42s 2.20s
% Output : Refutation 12.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 186 ( 186 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38823,plain,
$false,
inference(trivial_inequality_removal,[],[f38822]) ).
fof(f38822,plain,
b != b,
inference(superposition,[],[f5,f38219]) ).
fof(f38219,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = X1,
inference(superposition,[],[f36422,f21015]) ).
fof(f21015,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X0),X2),X0,X2) = X2,
inference(superposition,[],[f20728,f1088]) ).
fof(f1088,plain,
! [X2,X0,X1] : multiply(X1,X2,X0) = multiply(X2,multiply(X1,X2,X0),X0),
inference(superposition,[],[f1043,f779]) ).
fof(f779,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X2,multiply(X0,X1,X2),X1),
inference(forward_demodulation,[],[f715,f2]) ).
fof(f2,axiom,
! [X2,X3] : multiply(X3,X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ternary_multiply_1) ).
fof(f715,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1,X2),X1) = multiply(X2,multiply(X0,X1,X2),multiply(X0,X1,X2)),
inference(superposition,[],[f227,f15]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X2) = multiply(X0,X1,multiply(X2,multiply(X0,X1,X2),X3)),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X3] : multiply(X2,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ternary_multiply_2) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f227,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,X0) = multiply(X1,X2,multiply(X3,X0,multiply(X1,X2,X0))),
inference(superposition,[],[f15,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : multiply(X2,X0,X1) = multiply(X0,X1,multiply(X2,X0,X1)),
inference(superposition,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X1,X2,X3)) = multiply(X1,X2,multiply(X0,X1,X3)),
inference(superposition,[],[f1,f2]) ).
fof(f1043,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X2,multiply(X0,X1,X2),X0),
inference(forward_demodulation,[],[f970,f2]) ).
fof(f970,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1,X2),X0) = multiply(X2,multiply(X0,X1,X2),multiply(X0,X1,X2)),
inference(superposition,[],[f228,f15]) ).
fof(f228,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,X0) = multiply(X1,X2,multiply(X0,X3,multiply(X1,X2,X0))),
inference(superposition,[],[f15,f116]) ).
fof(f116,plain,
! [X2,X0,X1] : multiply(X0,X2,X1) = multiply(X0,X1,multiply(X0,X2,X1)),
inference(superposition,[],[f10,f19]) ).
fof(f19,plain,
! [X2,X0] : multiply(X0,X2,X0) = X0,
inference(forward_demodulation,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : multiply(X0,X0,multiply(X1,X2,X3)) = multiply(X0,X2,X0),
inference(forward_demodulation,[],[f7,f3]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X0,X0,multiply(X1,X2,X3)) = multiply(X0,X2,multiply(X0,X0,X3)),
inference(superposition,[],[f1,f3]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X2,X3,X1)) = multiply(multiply(X0,X1,X2),X3,X1),
inference(superposition,[],[f1,f2]) ).
fof(f20728,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X2,X0),X1,X0) = X0,
inference(superposition,[],[f18676,f3]) ).
fof(f18676,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X0),X1,multiply(X2,X3,inverse(X0))),X0,X3) = X3,
inference(superposition,[],[f18368,f25]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X2,X3,X0)) = multiply(multiply(X0,X1,X2),X3,X0),
inference(superposition,[],[f1,f19]) ).
fof(f18368,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1,inverse(X0)),X0,X1) = X1,
inference(superposition,[],[f15621,f4]) ).
fof(f4,axiom,
! [X2,X3] : multiply(inverse(X3),X3,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f15621,plain,
! [X2,X3,X0,X1] : multiply(X2,X3,X1) = multiply(multiply(X0,X1,X2),X3,multiply(X2,X3,X1)),
inference(forward_demodulation,[],[f15620,f779]) ).
fof(f15620,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,X3,X1),X3) = multiply(multiply(X0,X1,X2),X3,multiply(X1,multiply(X2,X3,X1),X3)),
inference(forward_demodulation,[],[f15292,f1085]) ).
fof(f1085,plain,
! [X2,X0,X1] : multiply(X1,X2,X0) = multiply(X1,multiply(X1,X2,X0),X0),
inference(superposition,[],[f1043,f1043]) ).
fof(f15292,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,X3,X1),X3) = multiply(multiply(X0,X1,X2),X3,multiply(X1,multiply(X1,multiply(X2,X3,X1),X3),X3)),
inference(superposition,[],[f110,f10608]) ).
fof(f10608,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,X0) = multiply(multiply(X3,X1,X2),multiply(X1,X2,X0),X0),
inference(superposition,[],[f1043,f9833]) ).
fof(f9833,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X3) = multiply(X3,multiply(X0,X1,X3),multiply(X2,X0,X1)),
inference(superposition,[],[f9667,f28]) ).
fof(f9667,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X2) = multiply(X2,multiply(X0,X1,X2),multiply(X0,X1,X3)),
inference(forward_demodulation,[],[f9446,f2]) ).
fof(f9446,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,X1,X2),multiply(X0,X1,X2)) = multiply(X2,multiply(X0,X1,X2),multiply(X0,X1,X3)),
inference(superposition,[],[f294,f15]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1,multiply(X3,X4,multiply(X0,X1,X2))) = multiply(X0,X1,multiply(X3,X4,X2)),
inference(forward_demodulation,[],[f283,f1]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1,multiply(X3,X4,multiply(X0,X1,X2))) = multiply(multiply(X0,X1,X3),X4,multiply(X0,X1,X2)),
inference(superposition,[],[f1,f171]) ).
fof(f171,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X0,X1,multiply(X0,X1,X2)),
inference(superposition,[],[f14,f3]) ).
fof(f14,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X3) = multiply(X0,X1,multiply(X2,multiply(X0,X1,X3),X3)),
inference(superposition,[],[f1,f2]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X1,X4,X3)) = multiply(multiply(X0,X1,multiply(X2,X3,X1)),X4,X3),
inference(superposition,[],[f10,f10]) ).
fof(f36422,plain,
! [X2,X0,X1] : multiply(X1,X2,X0) = multiply(multiply(X1,X2,X0),X1,X0),
inference(superposition,[],[f35892,f1043]) ).
fof(f35892,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(multiply(X0,X1,X2),X2,X0),
inference(superposition,[],[f35033,f19]) ).
fof(f35033,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X2) = multiply(multiply(X0,X1,X2),X2,multiply(X0,X1,X3)),
inference(forward_demodulation,[],[f34736,f19]) ).
fof(f34736,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1,X2),X2,multiply(X0,X1,X2)) = multiply(multiply(X0,X1,X2),X2,multiply(X0,X1,X3)),
inference(superposition,[],[f294,f31018]) ).
fof(f31018,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,X3) = multiply(X1,X2,multiply(multiply(X1,X2,X3),X3,X0)),
inference(forward_demodulation,[],[f31017,f779]) ).
fof(f31017,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,X3) = multiply(X1,X2,multiply(X0,multiply(multiply(X1,X2,X3),X3,X0),X3)),
inference(forward_demodulation,[],[f31016,f3]) ).
fof(f31016,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,multiply(X0,multiply(multiply(X1,X2,X3),X3,X0),X3)) = multiply(X1,X2,multiply(X3,X3,X0)),
inference(forward_demodulation,[],[f30706,f293]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1,multiply(X2,X3,X4)) = multiply(X0,X1,multiply(multiply(X0,X1,X2),X3,X4)),
inference(forward_demodulation,[],[f282,f1]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(multiply(X0,X1,X2),X3,X4)),
inference(superposition,[],[f1,f171]) ).
fof(f30706,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,multiply(X0,multiply(multiply(X1,X2,X3),X3,X0),X3)) = multiply(X1,X2,multiply(multiply(X1,X2,X3),X3,X0)),
inference(superposition,[],[f205,f9833]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,X1,multiply(X4,X5,multiply(X2,multiply(X0,X1,X3),X3))) = multiply(X0,X1,multiply(X4,X5,X3)),
inference(forward_demodulation,[],[f185,f1]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,X1,multiply(X4,X5,multiply(X2,multiply(X0,X1,X3),X3))) = multiply(multiply(X0,X1,X4),X5,multiply(X0,X1,X3)),
inference(superposition,[],[f1,f14]) ).
fof(f5,axiom,
b != multiply(a,inverse(a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.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 : Sat May 18 14:28:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (25843)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (25846)WARNING: value z3 for option sas not known
% 0.15/0.40 % (25844)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (25845)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (25847)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (25850)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 % (25848)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)
% 0.15/0.40 % (25849)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)
% 0.15/0.40 % (25846)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.23/0.42 TRYING [3]
% 0.23/0.43 TRYING [4]
% 0.23/0.52 TRYING [4]
% 1.84/0.63 TRYING [5]
% 6.24/1.29 TRYING [5]
% 7.78/1.48 TRYING [6]
% 7.99/1.49 TRYING [1]
% 7.99/1.49 TRYING [2]
% 7.99/1.50 TRYING [3]
% 7.99/1.52 TRYING [4]
% 9.97/1.79 TRYING [5]
% 12.42/2.19 % (25846)First to succeed.
% 12.42/2.19 % (25846)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25843"
% 12.42/2.20 % (25846)Refutation found. Thanks to Tanya!
% 12.42/2.20 % SZS status Unsatisfiable for theBenchmark
% 12.42/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 12.42/2.20 % (25846)------------------------------
% 12.42/2.20 % (25846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.42/2.20 % (25846)Termination reason: Refutation
% 12.42/2.20
% 12.42/2.20 % (25846)Memory used [KB]: 21103
% 12.42/2.20 % (25846)Time elapsed: 1.792 s
% 12.42/2.20 % (25846)Instructions burned: 4548 (million)
% 12.42/2.20 % (25843)Success in time 1.805 s
%------------------------------------------------------------------------------