TSTP Solution File: GRP616-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP616-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 Jun 24 07:18:46 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f424,plain,
$false,
inference(trivial_inequality_removal,[],[f388]) ).
fof(f388,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(superposition,[],[f4,f261]) ).
fof(f261,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f150,f140]) ).
fof(f140,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f114,f52]) ).
fof(f52,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(inverse(X0)),inverse(X1))) = X0,
inference(superposition,[],[f37,f37]) ).
fof(f37,plain,
! [X3,X1] : double_divide(inverse(double_divide(inverse(X3),inverse(X1))),X3) = X1,
inference(superposition,[],[f15,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f15,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X3),double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(inverse(X1)))),X2)),double_divide(X0,X2)))),X3) = X1,
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f114,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X1),X0)) = X0,
inference(superposition,[],[f52,f106]) ).
fof(f106,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),inverse(X1)) = double_divide(inverse(X1),X0),
inference(superposition,[],[f5,f52]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f150,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),X0),
inference(superposition,[],[f106,f140]) ).
fof(f4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP616-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.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 : Thu Jun 20 11:57:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3077)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3076)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3078)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (2999ds/149Mi)
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3079)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3080)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (2999ds/729Mi)
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3075)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.20/0.42 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3074)ott+10_1:36_drc=encompass:sil=256000:tgt=full:fde=none:st=5.0:i=276418:ss=axioms:sgt=16:sp=occurrence:plsq=on_0 on theBenchmark for (2999ds/276418Mi)
% 0.20/0.43 % (3076)First to succeed.
% 0.20/0.43 % (3076)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3073"
% 0.20/0.43 % (3073)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (3076)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (3076)------------------------------
% 0.20/0.43 % (3076)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (3076)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (3076)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (3076)Memory used [KB]: 1085
% 0.20/0.43 % (3076)Time elapsed: 0.013 s
% 0.20/0.43 % (3076)Instructions burned: 20 (million)
% 0.20/0.43 % (3076)------------------------------
% 0.20/0.43 % (3076)------------------------------
% 0.20/0.43 % (3073)Success in time 0.06 s
%------------------------------------------------------------------------------