TSTP Solution File: GRP606-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP606-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 : 23
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f459,plain,
$false,
inference(subsumption_resolution,[],[f458,f193]) ).
fof(f193,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f160,f186]) ).
fof(f186,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(double_divide(inverse(X0),X0)),X1),
inference(superposition,[],[f179,f160]) ).
fof(f179,plain,
! [X2,X1] : double_divide(inverse(X1),double_divide(inverse(X1),X2)) = X2,
inference(forward_demodulation,[],[f173,f160]) ).
fof(f173,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X1),double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2)))) = X2,
inference(superposition,[],[f19,f160]) ).
fof(f19,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f11,f11]) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(inverse(double_divide(inverse(double_divide(X2,inverse(X1))),X3)),double_divide(X2,X3)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f160,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[],[f150,f96]) ).
fof(f96,plain,
! [X2,X1] : double_divide(inverse(double_divide(inverse(X1),inverse(X2))),X1) = X2,
inference(backward_demodulation,[],[f34,f95]) ).
fof(f95,plain,
! [X3,X1,X4] : double_divide(inverse(X1),double_divide(X3,double_divide(X3,inverse(X4)))) = double_divide(inverse(X1),inverse(X4)),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X1),double_divide(X3,double_divide(X3,inverse(X4)))) = double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(inverse(X1),inverse(X4))),double_divide(X0,X2))))),X2),
inference(backward_demodulation,[],[f60,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,inverse(double_divide(X0,X1)))),inverse(X3)) = double_divide(X2,inverse(double_divide(inverse(double_divide(X0,inverse(X3))),X1))),
inference(superposition,[],[f6,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X2,inverse(X3)))) = double_divide(inverse(double_divide(X0,inverse(X3))),X1),
inference(superposition,[],[f1,f34]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(X4))),X2) = double_divide(inverse(X1),double_divide(X3,double_divide(X3,inverse(X4)))),
inference(superposition,[],[f53,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X0,inverse(X2))))),X1) = X2,
inference(superposition,[],[f19,f1]) ).
fof(f150,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f11,f96]) ).
fof(f458,plain,
a2 != inverse(inverse(a2)),
inference(forward_demodulation,[],[f457,f338]) ).
fof(f338,plain,
! [X0,X1] : inverse(X1) = double_divide(X1,double_divide(inverse(X0),X0)),
inference(superposition,[],[f295,f193]) ).
fof(f295,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(X1,inverse(X1))),
inference(backward_demodulation,[],[f286,f294]) ).
fof(f294,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f264,f266]) ).
fof(f266,plain,
! [X2,X1] : double_divide(double_divide(X1,X2),X1) = X2,
inference(forward_demodulation,[],[f231,f193]) ).
fof(f231,plain,
! [X2,X1] : double_divide(double_divide(inverse(inverse(X1)),X2),X1) = X2,
inference(backward_demodulation,[],[f181,f189]) ).
fof(f189,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = inverse(double_divide(inverse(X1),X0)),
inference(superposition,[],[f179,f94]) ).
fof(f94,plain,
! [X3,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X3),X1))) = X3,
inference(forward_demodulation,[],[f88,f1]) ).
fof(f88,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(inverse(X1),inverse(double_divide(inverse(X3),X1)))),double_divide(X0,X2))))),X2) = X3,
inference(backward_demodulation,[],[f5,f73]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f181,plain,
! [X2,X1] : double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X1) = X2,
inference(forward_demodulation,[],[f176,f160]) ).
fof(f176,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2))),inverse(X1))),X1) = X2,
inference(superposition,[],[f11,f160]) ).
fof(f264,plain,
! [X2,X1] : double_divide(double_divide(X2,X1),X1) = X2,
inference(forward_demodulation,[],[f229,f193]) ).
fof(f229,plain,
! [X2,X1] : double_divide(double_divide(inverse(inverse(X2)),X1),X1) = X2,
inference(backward_demodulation,[],[f96,f189]) ).
fof(f286,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(superposition,[],[f150,f193]) ).
fof(f457,plain,
! [X0] : a2 != inverse(double_divide(a2,double_divide(inverse(X0),X0))),
inference(forward_demodulation,[],[f452,f189]) ).
fof(f452,plain,
! [X0] : a2 != inverse(double_divide(a2,inverse(double_divide(inverse(X0),X0)))),
inference(superposition,[],[f366,f193]) ).
fof(f366,plain,
! [X0] : a2 != inverse(double_divide(a2,inverse(double_divide(X0,inverse(X0))))),
inference(superposition,[],[f4,f298]) ).
fof(f298,plain,
! [X0,X1] : double_divide(X1,inverse(X1)) = double_divide(X0,inverse(X0)),
inference(backward_demodulation,[],[f197,f294]) ).
fof(f197,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(backward_demodulation,[],[f175,f193]) ).
fof(f175,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(inverse(X1)),inverse(X1)),
inference(superposition,[],[f94,f160]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP606-1 : TPTP v8.2.0. Released v2.6.0.
% 0.08/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n024.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 20 13:18:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20757)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.22/0.42 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20759)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.22/0.42 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20755)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 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20758)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)
% 0.22/0.42 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20756)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.22/0.42 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20760)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)
% 0.22/0.42 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20754)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 % (20760)First to succeed.
% 0.22/0.45 % (20757)Also succeeded, but the first one will report.
% 0.22/0.45 % (20760)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20753"
% 0.22/0.45 % (20753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (20760)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 % (20760)------------------------------
% 0.22/0.45 % (20760)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (20760)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (20760)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (20760)Memory used [KB]: 1053
% 0.22/0.45 % (20760)Time elapsed: 0.029 s
% 0.22/0.45 % (20760)Instructions burned: 43 (million)
% 0.22/0.45 % (20760)------------------------------
% 0.22/0.45 % (20760)------------------------------
% 0.22/0.45 % (20753)Success in time 0.091 s
%------------------------------------------------------------------------------