TSTP Solution File: GRP467-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 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 : Wed Aug 31 16:15:56 EDT 2022
% Result : Unsatisfiable 1.36s 0.52s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 10 ( 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 : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f355,plain,
$false,
inference(trivial_inequality_removal,[],[f348]) ).
fof(f348,plain,
a2 != a2,
inference(backward_demodulation,[],[f293,f347]) ).
fof(f347,plain,
! [X22] : inverse(inverse(X22)) = X22,
inference(forward_demodulation,[],[f346,f329]) ).
fof(f329,plain,
! [X4,X5] : divide(X5,inverse(divide(X4,X4))) = X5,
inference(superposition,[],[f191,f270]) ).
fof(f270,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f125,f191]) ).
fof(f125,plain,
! [X2,X0,X1] : divide(divide(X0,X0),divide(X1,divide(X2,inverse(X1)))) = X2,
inference(backward_demodulation,[],[f1,f124]) ).
fof(f124,plain,
! [X26,X24,X25] : divide(X24,inverse(X26)) = divide(divide(X24,divide(X25,X26)),inverse(X25)),
inference(forward_demodulation,[],[f105,f51]) ).
fof(f51,plain,
! [X31,X36,X34,X35,X32,X33] : divide(divide(X33,X33),divide(divide(X34,divide(divide(X31,divide(X35,X34)),inverse(X35))),divide(divide(X32,X32),inverse(divide(X36,X36))))) = X31,
inference(superposition,[],[f5,f16]) ).
fof(f16,plain,
! [X4,X5] : divide(X5,X5) = divide(X4,X4),
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : divide(X0,X0) = divide(divide(X4,X4),divide(divide(divide(X2,divide(X3,X1)),inverse(X3)),divide(X2,inverse(X1)))),
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X4,X4),divide(divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3))),divide(divide(X5,X2),inverse(divide(X0,X0))))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f105,plain,
! [X31,X28,X29,X26,X27,X24,X25,X30] : divide(divide(X28,X28),divide(divide(X29,divide(divide(divide(X24,inverse(X26)),divide(X30,X29)),inverse(X30))),divide(divide(X27,X27),inverse(divide(X31,X31))))) = divide(divide(X24,divide(X25,X26)),inverse(X25)),
inference(superposition,[],[f5,f75]) ).
fof(f75,plain,
! [X10,X11,X8,X9] : divide(divide(divide(X9,divide(X10,X11)),inverse(X10)),divide(X9,inverse(X11))) = divide(X8,X8),
inference(backward_demodulation,[],[f32,f51]) ).
fof(f32,plain,
! [X10,X11,X8,X9,X16,X14,X15,X12,X13] : divide(divide(X13,X13),divide(divide(X14,divide(divide(divide(divide(divide(X9,divide(X10,X11)),inverse(X10)),divide(X9,inverse(X11))),divide(X15,X14)),inverse(X15))),divide(divide(X12,X12),inverse(divide(X16,X16))))) = divide(X8,X8),
inference(superposition,[],[f5,f6]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f191,plain,
! [X51,X49] : divide(X51,divide(X49,X49)) = X51,
inference(backward_demodulation,[],[f68,f125]) ).
fof(f68,plain,
! [X50,X51,X48,X49] : divide(divide(X50,X50),divide(X48,divide(divide(X51,divide(X49,X49)),inverse(X48)))) = X51,
inference(superposition,[],[f1,f16]) ).
fof(f346,plain,
! [X22,X23] : inverse(inverse(divide(X22,inverse(divide(X23,X23))))) = X22,
inference(forward_demodulation,[],[f336,f270]) ).
fof(f336,plain,
! [X19,X17,X22,X23] : inverse(divide(divide(divide(X19,X17),divide(X19,X17)),divide(X22,inverse(divide(X23,X23))))) = X22,
inference(backward_demodulation,[],[f304,f329]) ).
fof(f304,plain,
! [X19,X17,X22,X23,X20] : inverse(divide(divide(divide(divide(X19,X17),inverse(divide(X20,X20))),divide(X19,X17)),divide(X22,inverse(divide(X23,X23))))) = X22,
inference(backward_demodulation,[],[f281,f271]) ).
fof(f271,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(backward_demodulation,[],[f125,f270]) ).
fof(f281,plain,
! [X19,X16,X17,X22,X23,X20] : inverse(divide(divide(divide(divide(X19,X17),inverse(divide(X20,X20))),divide(X19,inverse(divide(X16,divide(X17,inverse(X16)))))),divide(X22,inverse(divide(X23,X23))))) = X22,
inference(backward_demodulation,[],[f220,f270]) ).
fof(f220,plain,
! [X21,X19,X16,X17,X22,X23,X20] : divide(divide(X21,X21),divide(divide(divide(divide(X19,X17),inverse(divide(X20,X20))),divide(X19,inverse(divide(X16,divide(X17,inverse(X16)))))),divide(X22,inverse(divide(X23,X23))))) = X22,
inference(backward_demodulation,[],[f146,f191]) ).
fof(f146,plain,
! [X21,X19,X16,X17,X15,X22,X23,X20] : divide(divide(X21,X21),divide(divide(divide(divide(X19,X17),inverse(divide(X20,X20))),divide(X19,inverse(divide(X16,divide(X17,inverse(X16)))))),divide(divide(X22,divide(X15,X15)),inverse(divide(X23,X23))))) = X22,
inference(backward_demodulation,[],[f29,f124]) ).
fof(f29,plain,
! [X21,X18,X19,X16,X17,X15,X22,X23,X20] : divide(divide(X21,X21),divide(divide(divide(divide(X19,X17),inverse(divide(X20,X20))),divide(X19,inverse(divide(X16,divide(divide(X17,divide(X18,X16)),inverse(X18)))))),divide(divide(X22,divide(X15,X15)),inverse(divide(X23,X23))))) = X22,
inference(superposition,[],[f5,f5]) ).
fof(f293,plain,
a2 != inverse(inverse(a2)),
inference(backward_demodulation,[],[f4,f270]) ).
fof(f4,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:51:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (32589)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (32614)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.50 % (32602)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.20/0.51 % (32599)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.51 % (32590)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51 % (32597)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.51 % (32591)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (32608)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.52 % (32591)Instruction limit reached!
% 0.20/0.52 % (32591)------------------------------
% 0.20/0.52 % (32591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32591)Termination reason: Unknown
% 0.20/0.52 % (32591)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (32591)Memory used [KB]: 5500
% 0.20/0.52 % (32591)Time elapsed: 0.120 s
% 0.20/0.52 % (32591)Instructions burned: 7 (million)
% 0.20/0.52 % (32591)------------------------------
% 0.20/0.52 % (32591)------------------------------
% 0.20/0.52 % (32585)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.20/0.52 % (32583)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.52 % (32596)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (32611)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.36/0.52 % (32585)Instruction limit reached!
% 1.36/0.52 % (32585)------------------------------
% 1.36/0.52 % (32585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52 % (32589)First to succeed.
% 1.36/0.52 % (32585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52 % (32585)Termination reason: Unknown
% 1.36/0.52 % (32585)Termination phase: Saturation
% 1.36/0.52
% 1.36/0.52 % (32585)Memory used [KB]: 5756
% 1.36/0.52 % (32585)Time elapsed: 0.089 s
% 1.36/0.52 % (32585)Instructions burned: 11 (million)
% 1.36/0.52 % (32585)------------------------------
% 1.36/0.52 % (32585)------------------------------
% 1.36/0.52 % (32589)Refutation found. Thanks to Tanya!
% 1.36/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.36/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.52 % (32589)------------------------------
% 1.36/0.52 % (32589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52 % (32589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52 % (32589)Termination reason: Refutation
% 1.36/0.52
% 1.36/0.52 % (32589)Memory used [KB]: 6012
% 1.36/0.52 % (32589)Time elapsed: 0.117 s
% 1.36/0.52 % (32589)Instructions burned: 41 (million)
% 1.36/0.52 % (32589)------------------------------
% 1.36/0.52 % (32589)------------------------------
% 1.36/0.52 % (32577)Success in time 0.174 s
%------------------------------------------------------------------------------