TSTP Solution File: GRP604-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP604-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 07:18:43 EDT 2024
% Result : Unsatisfiable 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 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 : 8 ( 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 : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1262,plain,
$false,
inference(trivial_inequality_removal,[],[f1261]) ).
fof(f1261,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(superposition,[],[f4,f1000]) ).
fof(f1000,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f689,f884]) ).
fof(f884,plain,
! [X3,X1] : double_divide(X3,double_divide(X1,X3)) = X1,
inference(superposition,[],[f734,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f734,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,double_divide(inverse(X1),X0)),
inference(superposition,[],[f687,f607]) ).
fof(f607,plain,
! [X0,X1] : inverse(double_divide(X1,double_divide(inverse(X0),X1))) = X0,
inference(superposition,[],[f545,f545]) ).
fof(f545,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(inverse(X0),X1)),X0)) = X1,
inference(superposition,[],[f484,f7]) ).
fof(f7,plain,
! [X2,X3,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,X1)),X3)),double_divide(X2,X3))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,double_divide(X2,X3)))))) = inverse(double_divide(inverse(double_divide(X2,X1)),X3)),
inference(superposition,[],[f1,f1]) ).
fof(f484,plain,
! [X2,X3] : inverse(double_divide(X3,double_divide(inverse(X2),X2))) = X3,
inference(superposition,[],[f349,f82]) ).
fof(f82,plain,
! [X3,X0,X1] : double_divide(inverse(double_divide(X3,X0)),double_divide(X3,inverse(double_divide(X0,X1)))) = X1,
inference(superposition,[],[f19,f7]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)) = inverse(double_divide(inverse(double_divide(X2,X3)),double_divide(X0,X3))),
inference(superposition,[],[f7,f11]) ).
fof(f11,plain,
! [X2,X0,X1] : inverse(double_divide(X1,double_divide(inverse(double_divide(X0,X1)),double_divide(X0,X2)))) = X2,
inference(superposition,[],[f7,f7]) ).
fof(f349,plain,
! [X2,X3,X0] : inverse(double_divide(X3,double_divide(inverse(double_divide(X2,X0)),double_divide(X2,X0)))) = X3,
inference(superposition,[],[f248,f19]) ).
fof(f248,plain,
! [X2,X3,X0] : inverse(double_divide(X3,inverse(double_divide(inverse(double_divide(X2,X0)),double_divide(X2,X0))))) = X3,
inference(superposition,[],[f181,f19]) ).
fof(f181,plain,
! [X2,X0,X1] : inverse(double_divide(X0,inverse(inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X1,X2)))))) = X0,
inference(superposition,[],[f86,f19]) ).
fof(f86,plain,
! [X2,X3,X1] : inverse(double_divide(X1,inverse(double_divide(inverse(double_divide(X2,X3)),double_divide(X1,X3))))) = X2,
inference(superposition,[],[f11,f19]) ).
fof(f687,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f607,f82]) ).
fof(f689,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f607,f11]) ).
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
% 0.03/0.12 % Problem : GRP604-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 12:42:39 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (3690)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.22/0.42 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (3689)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.22/0.42 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (3693)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.22/0.42 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (3692)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)
% 0.22/0.43 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3691)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.22/0.43 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3688)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)
% 0.22/0.45 % (3690)First to succeed.
% 0.22/0.45 % (3690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3687"
% 0.22/0.45 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (3694)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)
% 0.22/0.45 % (3687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (3690)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (3690)------------------------------
% 0.22/0.45 % (3690)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (3690)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (3690)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (3690)Memory used [KB]: 1580
% 0.22/0.45 % (3690)Time elapsed: 0.033 s
% 0.22/0.45 % (3690)Instructions burned: 53 (million)
% 0.22/0.45 % (3690)------------------------------
% 0.22/0.45 % (3690)------------------------------
% 0.22/0.45 % (3687)Success in time 0.089 s
%------------------------------------------------------------------------------