TSTP Solution File: GRP564-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n011.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 16:22:52 EDT 2022
% Result : Unsatisfiable 1.63s 0.58s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% 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 : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,plain,
$false,
inference(trivial_inequality_removal,[],[f331]) ).
fof(f331,plain,
divide(a,inverse(b)) != divide(a,inverse(b)),
inference(superposition,[],[f4,f293]) ).
fof(f293,plain,
! [X8,X6] : divide(X8,inverse(X6)) = divide(X6,inverse(X8)),
inference(forward_demodulation,[],[f275,f282]) ).
fof(f282,plain,
! [X18,X17] : divide(X18,divide(X17,inverse(X18))) = inverse(X17),
inference(forward_demodulation,[],[f267,f26]) ).
fof(f26,plain,
! [X10,X11] : divide(X11,divide(X10,X10)) = X11,
inference(superposition,[],[f1,f20]) ).
fof(f20,plain,
! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(divide(X0,inverse(inverse(X1))),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X0,inverse(X1)),X2),inverse(X3)),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f267,plain,
! [X18,X16,X17] : inverse(X17) = divide(X18,divide(divide(X17,inverse(X18)),divide(X16,X16))),
inference(superposition,[],[f166,f39]) ).
fof(f39,plain,
! [X10,X9] : divide(divide(X9,X9),inverse(X10)) = X10,
inference(superposition,[],[f20,f26]) ).
fof(f166,plain,
! [X8,X6,X9] : divide(X9,divide(divide(divide(X8,X6),inverse(X9)),X8)) = X6,
inference(backward_demodulation,[],[f156,f160]) ).
fof(f160,plain,
! [X10,X11,X8,X9] : divide(X11,X9) = divide(divide(divide(divide(X8,X9),X10),inverse(X11)),divide(X8,X10)),
inference(forward_demodulation,[],[f133,f143]) ).
fof(f143,plain,
! [X18] : inverse(inverse(X18)) = X18,
inference(superposition,[],[f39,f62]) ).
fof(f62,plain,
! [X24,X25] : divide(divide(X25,inverse(X24)),X24) = X25,
inference(forward_demodulation,[],[f58,f39]) ).
fof(f58,plain,
! [X24,X25,X23] : divide(divide(divide(divide(X23,X23),inverse(X25)),inverse(X24)),X24) = X25,
inference(superposition,[],[f1,f39]) ).
fof(f133,plain,
! [X10,X11,X8,X9] : divide(X11,X9) = divide(divide(divide(divide(X8,inverse(inverse(X9))),X10),inverse(X11)),divide(X8,X10)),
inference(superposition,[],[f62,f6]) ).
fof(f156,plain,
! [X8,X6,X9,X7,X5] : divide(X9,divide(divide(divide(divide(divide(divide(X5,X6),X7),inverse(X8)),divide(X5,X7)),inverse(X9)),X8)) = X6,
inference(backward_demodulation,[],[f17,f143]) ).
fof(f17,plain,
! [X8,X6,X9,X7,X5] : divide(X9,divide(divide(divide(divide(divide(divide(X5,inverse(inverse(X6))),X7),inverse(X8)),divide(X5,X7)),inverse(X9)),X8)) = X6,
inference(superposition,[],[f5,f6]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X0,inverse(X1)),divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f275,plain,
! [X8,X6,X7] : divide(X6,inverse(X8)) = divide(X8,divide(X7,divide(X6,inverse(X7)))),
inference(superposition,[],[f166,f81]) ).
fof(f81,plain,
! [X2,X3,X0] : divide(divide(divide(X0,inverse(X3)),divide(X0,X2)),X2) = X3,
inference(backward_demodulation,[],[f7,f70]) ).
fof(f70,plain,
! [X11,X12,X13] : divide(X11,X13) = divide(divide(X12,inverse(X11)),divide(X12,inverse(X13))),
inference(superposition,[],[f61,f5]) ).
fof(f61,plain,
! [X10,X11] : divide(X11,divide(X11,X10)) = X10,
inference(forward_demodulation,[],[f54,f39]) ).
fof(f54,plain,
! [X10,X11,X9] : divide(X11,divide(divide(divide(X9,X9),inverse(X11)),X10)) = X10,
inference(superposition,[],[f5,f39]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(X3)),divide(divide(X1,inverse(X0)),divide(X1,inverse(X2)))),X2) = X3,
inference(superposition,[],[f1,f5]) ).
fof(f4,plain,
divide(b,inverse(a)) != divide(a,inverse(b)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:29:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (17508)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.51 % (17529)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.52 % (17523)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.52 % (17531)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (17513)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.53 % (17512)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53 % (17514)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)
% 0.20/0.53 % (17509)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)
% 0.20/0.53 % (17510)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)
% 0.20/0.53 % (17511)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.54 % (17517)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.54 % (17516)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.54 % (17518)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.54 % (17516)Instruction limit reached!
% 0.20/0.54 % (17516)------------------------------
% 0.20/0.54 % (17516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17516)Termination reason: Unknown
% 0.20/0.54 % (17516)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17516)Memory used [KB]: 5373
% 0.20/0.54 % (17516)Time elapsed: 0.136 s
% 0.20/0.54 % (17516)Instructions burned: 3 (million)
% 0.20/0.54 % (17516)------------------------------
% 0.20/0.54 % (17516)------------------------------
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (17528)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (17520)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (17521)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.55 % (17519)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)
% 1.44/0.55 % (17533)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.44/0.55 TRYING [3]
% 1.44/0.55 % (17515)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.44/0.55 % (17534)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)
% 1.44/0.55 % (17527)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.44/0.55 % (17515)Instruction limit reached!
% 1.44/0.55 % (17515)------------------------------
% 1.44/0.55 % (17515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (17515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (17515)Termination reason: Unknown
% 1.44/0.55 % (17515)Termination phase: Saturation
% 1.44/0.55
% 1.44/0.55 % (17515)Memory used [KB]: 5500
% 1.44/0.55 % (17515)Time elapsed: 0.107 s
% 1.44/0.55 % (17515)Instructions burned: 8 (million)
% 1.44/0.55 % (17515)------------------------------
% 1.44/0.55 % (17515)------------------------------
% 1.44/0.55 % (17530)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)
% 1.44/0.55 % (17537)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.44/0.55 % (17524)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.44/0.55 % (17525)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.44/0.55 % (17522)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)
% 1.44/0.55 TRYING [4]
% 1.44/0.55 TRYING [1]
% 1.44/0.55 % (17526)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.44/0.55 TRYING [2]
% 1.44/0.55 TRYING [3]
% 1.44/0.56 % (17536)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.44/0.56 % (17535)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)
% 1.63/0.57 % (17532)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.63/0.58 TRYING [5]
% 1.63/0.58 % (17518)First to succeed.
% 1.63/0.58 TRYING [4]
% 1.63/0.58 % (17518)Refutation found. Thanks to Tanya!
% 1.63/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.63/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.58 % (17518)------------------------------
% 1.63/0.58 % (17518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (17518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (17518)Termination reason: Refutation
% 1.63/0.58
% 1.63/0.58 % (17518)Memory used [KB]: 5628
% 1.63/0.58 % (17518)Time elapsed: 0.145 s
% 1.63/0.58 % (17518)Instructions burned: 21 (million)
% 1.63/0.58 % (17518)------------------------------
% 1.63/0.58 % (17518)------------------------------
% 1.63/0.58 % (17507)Success in time 0.221 s
%------------------------------------------------------------------------------