TSTP Solution File: GRP590-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP590-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n001.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 07:18:40 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 : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 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 : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f371,plain,
$false,
inference(subsumption_resolution,[],[f358,f286]) ).
fof(f286,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f285,f249]) ).
fof(f249,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(X1,inverse(X1))),
inference(superposition,[],[f66,f50]) ).
fof(f50,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = inverse(double_divide(X1,inverse(X1))),
inference(superposition,[],[f25,f11]) ).
fof(f11,plain,
! [X2,X1] : double_divide(inverse(double_divide(X2,inverse(X2))),inverse(X1)) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),inverse(X3))))),X1) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f25,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(X0,inverse(X0))))) = X1,
inference(superposition,[],[f15,f11]) ).
fof(f15,plain,
! [X2,X1] : double_divide(inverse(double_divide(X1,inverse(X2))),inverse(X1)) = X2,
inference(superposition,[],[f5,f11]) ).
fof(f66,plain,
! [X3,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X3)))) = X3,
inference(forward_demodulation,[],[f49,f48]) ).
fof(f48,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(inverse(double_divide(X1,inverse(X1))))),inverse(double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f25,f1]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X1,inverse(inverse(double_divide(X2,inverse(X2))))),inverse(double_divide(X1,inverse(X0))))),inverse(X3)))) = X3,
inference(superposition,[],[f25,f5]) ).
fof(f285,plain,
! [X2,X1] : inverse(double_divide(X2,double_divide(X1,inverse(X1)))) = X2,
inference(forward_demodulation,[],[f277,f249]) ).
fof(f277,plain,
! [X2,X1] : double_divide(double_divide(X2,double_divide(X1,inverse(X1))),double_divide(X1,inverse(X1))) = X2,
inference(superposition,[],[f242,f50]) ).
fof(f242,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(superposition,[],[f66,f15]) ).
fof(f358,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f107,f249]) ).
fof(f107,plain,
! [X0] : a2 != inverse(double_divide(a2,double_divide(X0,inverse(X0)))),
inference(superposition,[],[f4,f50]) ).
fof(f4,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
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,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP590-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n001.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 09:19:24 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
% 0.20/0.41 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (15423)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)
% 0.20/0.41 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (15424)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.20/0.41 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (15428)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.20/0.42 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15429)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 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15425)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.20/0.42 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15427)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)
% 0.20/0.43 % (15428)First to succeed.
% 0.20/0.43 % (15428)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15422"
% 0.20/0.43 % (15425)Also succeeded, but the first one will report.
% 0.20/0.43 % (15422)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (15428)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 % (15428)------------------------------
% 0.20/0.43 % (15428)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (15428)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (15428)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (15428)Memory used [KB]: 968
% 0.20/0.43 % (15428)Time elapsed: 0.015 s
% 0.20/0.43 % (15428)Instructions burned: 21 (million)
% 0.20/0.43 % (15428)------------------------------
% 0.20/0.43 % (15428)------------------------------
% 0.20/0.43 % (15422)Success in time 0.065 s
%------------------------------------------------------------------------------