TSTP Solution File: ALG007-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG007-1 : 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 : n016.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 8.39s 1.55s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 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 : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36428,plain,
$false,
inference(trivial_inequality_removal,[],[f36165]) ).
fof(f36165,plain,
difference(difference(a,b),c) != difference(difference(a,b),c),
inference(superposition,[],[f4,f34947]) ).
fof(f34947,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),difference(X1,X2)),
inference(forward_demodulation,[],[f34946,f1253]) ).
fof(f1253,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X1,difference(X1,X0))),
inference(superposition,[],[f73,f2]) ).
fof(f2,axiom,
! [X0,X1] : difference(X0,difference(X0,X1)) = difference(X1,difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_2) ).
fof(f73,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X0,difference(X0,X1))),
inference(superposition,[],[f17,f2]) ).
fof(f17,plain,
! [X2,X0,X1] : difference(X0,X2) = difference(difference(X0,X2),difference(X1,X0)),
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X0,X1] : difference(X0,difference(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_1) ).
fof(f3,axiom,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_3_simplified) ).
fof(f34946,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(X2,difference(X2,difference(X0,X1)))) = difference(difference(X0,X2),difference(X1,X2)),
inference(forward_demodulation,[],[f34945,f34181]) ).
fof(f34181,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(X0,X2)) = difference(X0,difference(X0,difference(X2,X1))),
inference(backward_demodulation,[],[f5780,f34180]) ).
fof(f34180,plain,
! [X2,X0,X1] : difference(difference(X2,difference(X2,difference(X0,X1))),difference(X0,X2)) = difference(X0,difference(X0,difference(X2,X1))),
inference(forward_demodulation,[],[f33866,f33825]) ).
fof(f33825,plain,
! [X3,X0,X1] : difference(difference(X1,difference(X1,X0)),X3) = difference(X1,difference(X1,difference(X0,X3))),
inference(backward_demodulation,[],[f27503,f33785]) ).
fof(f33785,plain,
! [X2,X3,X0,X1] : difference(X2,difference(X2,difference(X0,X1))) = difference(difference(difference(X0,X1),difference(X0,X2)),difference(X3,X2)),
inference(backward_demodulation,[],[f27206,f33702]) ).
fof(f33702,plain,
! [X2,X0,X1] : difference(difference(X1,X2),difference(X1,X0)) = difference(difference(X1,X2),difference(difference(X1,X0),X2)),
inference(backward_demodulation,[],[f2605,f33689]) ).
fof(f33689,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(X0,X1)) = difference(difference(X0,X2),difference(difference(X0,X2),X1)),
inference(backward_demodulation,[],[f1327,f33618]) ).
fof(f33618,plain,
! [X2,X0,X1] : difference(difference(X0,X2),X1) = difference(difference(X0,X1),difference(difference(X2,difference(X2,X0)),X1)),
inference(backward_demodulation,[],[f254,f33616]) ).
fof(f33616,plain,
! [X2,X0,X1] : difference(difference(X0,X2),X1) = difference(difference(X0,X2),difference(difference(X0,X2),difference(X0,X1))),
inference(forward_demodulation,[],[f33078,f17]) ).
fof(f33078,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(difference(X0,X2),difference(X0,X1))) = difference(difference(difference(X0,X2),X1),difference(difference(X0,X1),difference(X0,X2))),
inference(superposition,[],[f235,f230]) ).
fof(f230,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),difference(X0,difference(X0,X1))),
inference(superposition,[],[f18,f17]) ).
fof(f18,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(X0,X1)) = difference(difference(X1,difference(X1,X0)),X2),
inference(superposition,[],[f3,f2]) ).
fof(f235,plain,
! [X2,X0,X1] : difference(X0,difference(X0,X1)) = difference(difference(X1,difference(X2,X0)),difference(X1,X0)),
inference(superposition,[],[f18,f17]) ).
fof(f254,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(difference(X0,X2),difference(X0,X1))) = difference(difference(X0,X1),difference(difference(X2,difference(X2,X0)),X1)),
inference(superposition,[],[f2,f18]) ).
fof(f1327,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(X0,X1)) = difference(difference(X0,X2),difference(difference(X0,X1),difference(difference(X2,difference(X2,X0)),X1))),
inference(superposition,[],[f1253,f18]) ).
fof(f2605,plain,
! [X2,X0,X1] : difference(difference(X1,X2),difference(difference(X1,X0),X2)) = difference(difference(X1,X2),difference(difference(X1,X2),X0)),
inference(superposition,[],[f29,f2]) ).
fof(f29,plain,
! [X2,X0,X1] : difference(X2,difference(X2,difference(X0,X1))) = difference(difference(X0,X1),difference(difference(X0,X2),X1)),
inference(superposition,[],[f2,f3]) ).
fof(f27206,plain,
! [X2,X3,X0,X1] : difference(X2,difference(X2,difference(X0,X1))) = difference(difference(difference(X0,X1),difference(difference(X0,X2),X1)),difference(X3,X2)),
inference(superposition,[],[f191,f3]) ).
fof(f191,plain,
! [X2,X0,X1] : difference(difference(X2,difference(X2,X0)),difference(X1,X0)) = difference(X0,difference(X0,X2)),
inference(superposition,[],[f18,f1]) ).
fof(f27503,plain,
! [X2,X3,X0,X1] : difference(difference(X1,difference(X1,X0)),X3) = difference(difference(difference(X0,X3),difference(X0,X1)),difference(X2,X1)),
inference(superposition,[],[f21,f191]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : difference(difference(difference(X0,X1),X3),X2) = difference(difference(difference(X0,X2),X1),X3),
inference(superposition,[],[f3,f3]) ).
fof(f33866,plain,
! [X2,X0,X1] : difference(difference(X0,difference(X0,X2)),X1) = difference(difference(X2,difference(X2,difference(X0,X1))),difference(X0,X2)),
inference(backward_demodulation,[],[f5261,f33825]) ).
fof(f5261,plain,
! [X2,X0,X1] : difference(difference(X0,difference(X0,X2)),X1) = difference(difference(difference(X2,difference(X2,X0)),X1),difference(X0,X2)),
inference(superposition,[],[f950,f18]) ).
fof(f950,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(difference(X0,X2),X1),X1),
inference(superposition,[],[f21,f5]) ).
fof(f5,plain,
! [X0,X1] : difference(X1,X0) = difference(difference(X1,X0),X0),
inference(superposition,[],[f1,f1]) ).
fof(f5780,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(X0,X2)) = difference(difference(X2,difference(X2,difference(X0,X1))),difference(X0,X2)),
inference(superposition,[],[f5662,f29]) ).
fof(f5662,plain,
! [X2,X0,X1] : difference(X0,X1) = difference(difference(X0,difference(X1,X2)),X1),
inference(forward_demodulation,[],[f5513,f5]) ).
fof(f5513,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X1) = difference(difference(X0,difference(X1,X2)),X1),
inference(superposition,[],[f974,f37]) ).
fof(f37,plain,
! [X2,X0,X1] : difference(X1,X0) = difference(difference(X1,X0),difference(X0,X2)),
inference(superposition,[],[f32,f1]) ).
fof(f32,plain,
! [X2,X0,X1] : difference(X2,difference(difference(X0,X2),X1)) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f974,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(difference(X0,X2),X1),X2),
inference(superposition,[],[f21,f5]) ).
fof(f34945,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,X0))) = difference(difference(X0,X2),difference(X1,X2)),
inference(forward_demodulation,[],[f34944,f3]) ).
fof(f34944,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,X0))) = difference(difference(X0,difference(X1,X2)),X2),
inference(forward_demodulation,[],[f34023,f230]) ).
fof(f34023,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,X0))) = difference(difference(X0,X2),difference(X0,difference(X0,difference(X1,X2)))),
inference(backward_demodulation,[],[f32195,f33825]) ).
fof(f32195,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(difference(X0,difference(X0,X1)),X2)) = difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,X0))),
inference(superposition,[],[f29,f233]) ).
fof(f233,plain,
! [X2,X0,X1] : difference(difference(X0,X2),difference(X0,X1)) = difference(difference(X1,X2),difference(X1,X0)),
inference(superposition,[],[f18,f3]) ).
fof(f4,axiom,
difference(difference(a,b),c) != difference(difference(a,c),difference(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_difference_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG007-1 : TPTP v8.2.0. Released v2.2.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n016.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 23:08:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (25829)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (25832)WARNING: value z3 for option sas not known
% 0.15/0.38 % (25830)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (25831)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (25834)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)
% 0.15/0.38 % (25836)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)
% 0.15/0.38 % (25833)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (25832)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)
% 0.15/0.38 % (25835)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [5]
% 0.21/0.44 TRYING [6]
% 0.21/0.45 TRYING [5]
% 0.21/0.51 TRYING [7]
% 0.21/0.58 TRYING [6]
% 1.79/0.61 TRYING [8]
% 3.02/0.84 TRYING [9]
% 3.60/0.87 TRYING [7]
% 6.27/1.24 TRYING [10]
% 7.86/1.48 TRYING [1]
% 7.86/1.48 TRYING [2]
% 7.86/1.48 TRYING [3]
% 7.86/1.48 TRYING [4]
% 7.86/1.49 TRYING [5]
% 8.12/1.51 TRYING [6]
% 8.39/1.55 % (25835)First to succeed.
% 8.39/1.55 % (25835)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25829"
% 8.39/1.55 % (25835)Refutation found. Thanks to Tanya!
% 8.39/1.55 % SZS status Unsatisfiable for theBenchmark
% 8.39/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/1.55 % (25835)------------------------------
% 8.39/1.55 % (25835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.39/1.55 % (25835)Termination reason: Refutation
% 8.39/1.55
% 8.39/1.55 % (25835)Memory used [KB]: 13558
% 8.39/1.55 % (25835)Time elapsed: 1.168 s
% 8.39/1.55 % (25835)Instructions burned: 3715 (million)
% 8.39/1.55 % (25829)Success in time 1.155 s
%------------------------------------------------------------------------------