TSTP Solution File: GRP467-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n025.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 16:22:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
a2 != a2,
inference(superposition,[],[f9,f199]) ).
fof(f199,plain,
a2 = sF3,
inference(superposition,[],[f172,f53]) ).
fof(f53,plain,
divide(sF1,divide(sF2,divide(sF1,inverse(sF1)))) = sF3,
inference(superposition,[],[f18,f27]) ).
fof(f27,plain,
! [X3] : divide(X3,X3) = sF1,
inference(forward_demodulation,[],[f22,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : sF1 = divide(sF1,divide(divide(divide(X1,divide(X2,X0)),inverse(X2)),divide(X1,inverse(X0)))),
inference(superposition,[],[f10,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(sF1,divide(X0,divide(divide(X1,divide(X2,X0)),inverse(X2)))) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
divide(sF0,sF0) = sF1,
introduced(function_definition,[]) ).
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(f22,plain,
! [X3,X6,X4,X5] : divide(X3,X3) = divide(sF1,divide(divide(divide(X5,divide(X6,X4)),inverse(X6)),divide(X5,inverse(X4)))),
inference(superposition,[],[f10,f1]) ).
fof(f18,plain,
! [X1] : divide(sF1,divide(sF2,divide(divide(X1,sF3),inverse(sF1)))) = X1,
inference(superposition,[],[f10,f8]) ).
fof(f8,plain,
divide(sF1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f172,plain,
a2 = divide(sF1,divide(sF2,divide(sF1,inverse(sF1)))),
inference(superposition,[],[f18,f168]) ).
fof(f168,plain,
sF1 = divide(a2,sF3),
inference(forward_demodulation,[],[f159,f8]) ).
fof(f159,plain,
sF1 = divide(a2,divide(sF1,sF2)),
inference(superposition,[],[f157,f7]) ).
fof(f7,plain,
inverse(a2) = sF2,
introduced(function_definition,[]) ).
fof(f157,plain,
! [X0] : sF1 = divide(X0,divide(sF1,inverse(X0))),
inference(forward_demodulation,[],[f143,f27]) ).
fof(f143,plain,
! [X0] : divide(sF1,sF1) = divide(X0,divide(sF1,inverse(X0))),
inference(superposition,[],[f36,f27]) ).
fof(f36,plain,
! [X11,X12] : divide(X11,X12) = divide(sF1,divide(X12,divide(sF1,inverse(X11)))),
inference(forward_demodulation,[],[f35,f27]) ).
fof(f35,plain,
! [X11,X12,X13] : divide(X11,X12) = divide(divide(X13,X13),divide(X12,divide(sF1,inverse(X11)))),
inference(superposition,[],[f1,f27]) ).
fof(f9,plain,
a2 != sF3,
inference(definition_folding,[],[f4,f8,f7,f6,f5,f5]) ).
fof(f5,plain,
inverse(b2) = sF0,
introduced(function_definition,[]) ).
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
% 0.07/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:38:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (28577)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.48 % (28569)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.48 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.49 TRYING [4]
% 0.20/0.51 % (28590)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.51 % (28574)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.52 % (28576)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.52 % (28575)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.52 % (28565)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.52 % (28574)First to succeed.
% 0.20/0.52 % (28585)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.52 % (28564)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52 % (28574)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28574)------------------------------
% 0.20/0.52 % (28574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28574)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28574)Memory used [KB]: 5628
% 0.20/0.52 % (28574)Time elapsed: 0.134 s
% 0.20/0.52 % (28574)Instructions burned: 10 (million)
% 0.20/0.52 % (28574)------------------------------
% 0.20/0.52 % (28574)------------------------------
% 0.20/0.52 % (28562)Success in time 0.172 s
%------------------------------------------------------------------------------