TSTP Solution File: ALG006-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG006-1 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 18:21:43 EDT 2024
% Result : Unsatisfiable 2.17s 0.64s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10029,plain,
$false,
inference(trivial_inequality_removal,[],[f9967]) ).
fof(f9967,plain,
difference(difference(a,c),b) != difference(difference(a,c),b),
inference(superposition,[],[f4,f9493]) ).
fof(f9493,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),X1),
inference(superposition,[],[f4002,f118]) ).
fof(f118,plain,
! [X2,X0,X1] : difference(difference(difference(X0,X1),X2),X1) = difference(difference(X0,X2),X1),
inference(forward_demodulation,[],[f86,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_difference_3) ).
fof(f86,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(X2,X1)) = difference(difference(difference(X0,X1),X2),X1),
inference(superposition,[],[f3,f5]) ).
fof(f5,plain,
! [X0,X1] : difference(X1,X0) = difference(difference(X1,X0),X0),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X0,X1] : difference(X0,difference(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_difference_1) ).
fof(f4002,plain,
! [X2,X0,X1] : difference(difference(X1,X0),X2) = difference(difference(difference(X1,X0),X2),X0),
inference(superposition,[],[f1,f3880]) ).
fof(f3880,plain,
! [X2,X0,X1] : difference(X1,difference(difference(X0,X1),X2)) = X1,
inference(forward_demodulation,[],[f3821,f3820]) ).
fof(f3820,plain,
! [X2,X3,X0,X1] : difference(X3,difference(difference(difference(X0,X2),X1),difference(difference(X0,X1),X2))) = X3,
inference(superposition,[],[f797,f118]) ).
fof(f797,plain,
! [X2,X0,X1] : difference(X0,difference(difference(X1,X2),X1)) = X0,
inference(superposition,[],[f1,f688]) ).
fof(f688,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X0) = difference(X2,X2),
inference(superposition,[],[f623,f3]) ).
fof(f623,plain,
! [X2,X0,X1] : difference(difference(X1,X1),X0) = difference(X2,X2),
inference(superposition,[],[f547,f99]) ).
fof(f99,plain,
! [X0,X1] : difference(difference(X0,X0),X1) = difference(X1,X1),
inference(superposition,[],[f3,f15]) ).
fof(f15,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(X1,X1),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f9,plain,
! [X0,X1] : difference(X1,difference(X1,difference(X0,X1))) = difference(difference(X0,X1),difference(X0,X1)),
inference(superposition,[],[f2,f5]) ).
fof(f2,axiom,
! [X0,X1] : difference(X0,difference(X0,X1)) = difference(X1,difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_difference_2) ).
fof(f547,plain,
! [X0,X1] : difference(X0,X0) = difference(X1,X1),
inference(backward_demodulation,[],[f536,f546]) ).
fof(f546,plain,
! [X0,X1] : difference(X0,difference(X1,X1)) = X0,
inference(forward_demodulation,[],[f453,f498]) ).
fof(f498,plain,
! [X0,X1] : difference(X1,X1) = difference(difference(X1,X1),X0),
inference(forward_demodulation,[],[f497,f15]) ).
fof(f497,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(difference(X1,X1),X0),
inference(forward_demodulation,[],[f418,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] : difference(difference(X0,X0),X1) = difference(difference(X2,X2),difference(X3,difference(X0,X1))),
inference(superposition,[],[f143,f3]) ).
fof(f143,plain,
! [X2,X0,X1] : difference(X1,X1) = difference(difference(X2,X2),difference(X0,X1)),
inference(superposition,[],[f99,f15]) ).
fof(f418,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(difference(X2,X2),difference(X1,difference(X1,X0))),
inference(superposition,[],[f143,f2]) ).
fof(f453,plain,
! [X2,X0,X1] : difference(X0,difference(difference(X1,X1),difference(X2,X0))) = X0,
inference(superposition,[],[f1,f143]) ).
fof(f536,plain,
! [X0,X1] : difference(X0,X0) = difference(X1,difference(X1,difference(X0,X0))),
inference(forward_demodulation,[],[f522,f143]) ).
fof(f522,plain,
! [X2,X0,X1] : difference(X1,difference(X1,difference(X0,X0))) = difference(difference(X2,X2),difference(X0,X0)),
inference(backward_demodulation,[],[f318,f498]) ).
fof(f318,plain,
! [X2,X0,X1] : difference(X1,difference(X1,difference(X0,X0))) = difference(difference(X2,X2),difference(difference(X0,X0),X1)),
inference(superposition,[],[f142,f2]) ).
fof(f142,plain,
! [X2,X0,X1] : difference(difference(X1,X1),X0) = difference(difference(X2,X2),X0),
inference(superposition,[],[f99,f99]) ).
fof(f3821,plain,
! [X2,X0,X1] : difference(X1,difference(difference(X0,X1),X2)) = difference(X1,difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1))),
inference(superposition,[],[f1147,f118]) ).
fof(f1147,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X1,difference(X1,X0))),
inference(superposition,[],[f527,f2]) ).
fof(f527,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X0,difference(X0,X1))),
inference(backward_demodulation,[],[f190,f506]) ).
fof(f506,plain,
! [X2,X0,X1] : difference(X2,X0) = difference(difference(X2,X0),difference(X1,X1)),
inference(backward_demodulation,[],[f177,f498]) ).
fof(f177,plain,
! [X2,X0,X1] : difference(X2,X0) = difference(difference(X2,X0),difference(difference(X1,X1),X0)),
inference(forward_demodulation,[],[f164,f5]) ).
fof(f164,plain,
! [X2,X0,X1] : difference(difference(X2,X0),X0) = difference(difference(X2,X0),difference(difference(X1,X1),X0)),
inference(superposition,[],[f3,f99]) ).
fof(f190,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X0,X1))) = difference(difference(X0,X1),difference(X0,X0)),
inference(superposition,[],[f2,f101]) ).
fof(f101,plain,
! [X0,X1] : difference(difference(X0,X1),X0) = difference(X0,X0),
inference(superposition,[],[f3,f22]) ).
fof(f22,plain,
! [X0,X1] : difference(X1,X1) = difference(difference(X1,X1),difference(X0,X1)),
inference(superposition,[],[f5,f15]) ).
fof(f4,axiom,
difference(difference(a,c),b) != difference(difference(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_difference_3_simplified) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG006-1 : TPTP v8.2.0. Released v2.2.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 23:50:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (8373)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (8376)WARNING: value z3 for option sas not known
% 0.12/0.35 % (8376)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)
% 0.12/0.35 % (8377)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (8378)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)
% 0.12/0.35 % (8380)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)
% 0.12/0.35 % (8375)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (8374)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 % (8379)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)
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [4]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [5]
% 0.18/0.42 TRYING [6]
% 0.18/0.42 TRYING [5]
% 1.59/0.56 TRYING [7]
% 1.73/0.62 TRYING [6]
% 2.17/0.64 % (8379)First to succeed.
% 2.17/0.64 % (8379)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8373"
% 2.17/0.64 % (8379)Refutation found. Thanks to Tanya!
% 2.17/0.64 % SZS status Unsatisfiable for theBenchmark
% 2.17/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.65 % (8379)------------------------------
% 2.17/0.65 % (8379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.17/0.65 % (8379)Termination reason: Refutation
% 2.17/0.65
% 2.17/0.65 % (8379)Memory used [KB]: 3134
% 2.17/0.65 % (8379)Time elapsed: 0.297 s
% 2.17/0.65 % (8379)Instructions burned: 557 (million)
% 2.17/0.65 % (8373)Success in time 0.301 s
%------------------------------------------------------------------------------