TSTP Solution File: GRP548-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP548-1 : 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 : n006.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 16:22:50 EDT 2022
% Result : Unsatisfiable 1.47s 0.57s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f221,plain,
$false,
inference(trivial_inequality_removal,[],[f214]) ).
fof(f214,plain,
sF1 != sF1,
inference(superposition,[],[f11,f209]) ).
fof(f209,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f208,f172]) ).
fof(f172,plain,
! [X0] : divide(divide(b,X0),divide(sF0,X0)) = sF1,
inference(forward_demodulation,[],[f169,f157]) ).
fof(f157,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(superposition,[],[f26,f116]) ).
fof(f116,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f108,f27]) ).
fof(f27,plain,
! [X4] : divide(X4,identity) = X4,
inference(forward_demodulation,[],[f25,f26]) ).
fof(f25,plain,
! [X3,X4] : divide(divide(identity,divide(divide(X3,X4),X3)),identity) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f108,plain,
! [X0,X1] : divide(X0,divide(divide(X0,X1),identity)) = X1,
inference(superposition,[],[f1,f42]) ).
fof(f42,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f26,f27]) ).
fof(f26,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f12,f4]) ).
fof(f12,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f169,plain,
! [X0] : divide(divide(identity,divide(X0,b)),divide(sF0,X0)) = sF1,
inference(superposition,[],[f1,f153]) ).
fof(f153,plain,
sF0 = divide(b,sF1),
inference(superposition,[],[f116,f8]) ).
fof(f8,plain,
sF1 = divide(b,sF0),
introduced(function_definition,[]) ).
fof(f208,plain,
! [X0] : divide(divide(b,X0),divide(sF0,X0)) = sF3,
inference(forward_demodulation,[],[f206,f157]) ).
fof(f206,plain,
! [X0] : divide(divide(identity,divide(X0,b)),divide(sF0,X0)) = sF3,
inference(superposition,[],[f1,f195]) ).
fof(f195,plain,
sF0 = divide(b,sF3),
inference(forward_demodulation,[],[f194,f7]) ).
fof(f7,plain,
sF0 = divide(identity,a),
introduced(function_definition,[]) ).
fof(f194,plain,
divide(identity,a) = divide(b,sF3),
inference(forward_demodulation,[],[f193,f53]) ).
fof(f53,plain,
! [X4,X5] : divide(divide(identity,X5),divide(X4,X5)) = divide(identity,X4),
inference(forward_demodulation,[],[f52,f48]) ).
fof(f48,plain,
! [X2,X3] : divide(divide(X2,X3),X2) = divide(identity,X3),
inference(forward_demodulation,[],[f38,f27]) ).
fof(f38,plain,
! [X2,X3] : divide(divide(X2,X3),X2) = divide(identity,divide(X3,identity)),
inference(superposition,[],[f26,f26]) ).
fof(f52,plain,
! [X3,X4,X5] : divide(divide(X3,X4),X3) = divide(divide(identity,X5),divide(X4,X5)),
inference(forward_demodulation,[],[f44,f27]) ).
fof(f44,plain,
! [X3,X4,X5] : divide(divide(X3,X4),X3) = divide(divide(identity,divide(X5,identity)),divide(X4,X5)),
inference(superposition,[],[f1,f26]) ).
fof(f193,plain,
! [X1] : divide(divide(identity,X1),divide(a,X1)) = divide(b,sF3),
inference(forward_demodulation,[],[f191,f157]) ).
fof(f191,plain,
! [X1] : divide(divide(identity,divide(X1,identity)),divide(a,X1)) = divide(b,sF3),
inference(superposition,[],[f1,f79]) ).
fof(f79,plain,
a = divide(identity,divide(b,sF3)),
inference(superposition,[],[f26,f73]) ).
fof(f73,plain,
b = divide(sF3,a),
inference(forward_demodulation,[],[f72,f49]) ).
fof(f49,plain,
b = divide(identity,sF2),
inference(forward_demodulation,[],[f37,f27]) ).
fof(f37,plain,
b = divide(identity,divide(sF2,identity)),
inference(superposition,[],[f26,f9]) ).
fof(f9,plain,
divide(identity,b) = sF2,
introduced(function_definition,[]) ).
fof(f72,plain,
divide(sF3,a) = divide(identity,sF2),
inference(forward_demodulation,[],[f69,f27]) ).
fof(f69,plain,
divide(sF3,a) = divide(identity,divide(sF2,identity)),
inference(superposition,[],[f26,f40]) ).
fof(f40,plain,
divide(identity,divide(sF3,a)) = sF2,
inference(superposition,[],[f26,f10]) ).
fof(f10,plain,
divide(a,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f6,plain,
divide(b,divide(identity,a)) != divide(a,divide(identity,b)),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n006.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 22:32:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (24915)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)
% 1.33/0.52 % (24906)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)
% 1.33/0.52 TRYING [1]
% 1.33/0.52 TRYING [2]
% 1.33/0.52 TRYING [3]
% 1.33/0.52 TRYING [4]
% 1.33/0.52 % (24924)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)
% 1.33/0.53 % (24903)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)
% 1.33/0.53 % (24905)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)
% 1.33/0.53 % (24900)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)
% 1.33/0.53 % (24914)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.33/0.53 TRYING [1]
% 1.33/0.53 % (24912)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.33/0.53 TRYING [2]
% 1.47/0.53 TRYING [3]
% 1.47/0.53 % (24902)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)
% 1.47/0.53 % (24925)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)
% 1.47/0.53 % (24901)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)
% 1.47/0.54 % (24916)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)
% 1.47/0.54 % (24911)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)
% 1.47/0.54 % (24909)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)
% 1.47/0.54 % (24931)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)
% 1.47/0.54 % (24930)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.47/0.54 % (24929)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)
% 1.47/0.54 % (24907)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.47/0.55 % (24927)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.47/0.55 % (24910)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.47/0.55 % (24908)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.47/0.55 % (24923)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.47/0.55 % (24922)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)
% 1.47/0.55 % (24919)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.47/0.55 % (24904)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.47/0.55 % (24926)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.47/0.55 % (24928)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)
% 1.47/0.55 % (24911)First to succeed.
% 1.47/0.55 TRYING [5]
% 1.47/0.55 % (24918)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.47/0.55 TRYING [1]
% 1.47/0.55 TRYING [2]
% 1.47/0.56 TRYING [4]
% 1.47/0.56 % (24906)Instruction limit reached!
% 1.47/0.56 % (24906)------------------------------
% 1.47/0.56 % (24906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (24920)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)
% 1.47/0.56 % (24906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (24906)Termination reason: Unknown
% 1.47/0.56 % (24906)Termination phase: Finite model building SAT solving
% 1.47/0.56
% 1.47/0.56 % (24906)Memory used [KB]: 7291
% 1.47/0.56 % (24906)Time elapsed: 0.138 s
% 1.47/0.56 % (24906)Instructions burned: 51 (million)
% 1.47/0.56 % (24906)------------------------------
% 1.47/0.56 % (24906)------------------------------
% 1.47/0.56 TRYING [3]
% 1.47/0.56 TRYING [4]
% 1.47/0.56 % (24917)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)
% 1.47/0.57 % (24907)Instruction limit reached!
% 1.47/0.57 % (24907)------------------------------
% 1.47/0.57 % (24907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (24907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (24907)Termination reason: Unknown
% 1.47/0.57 % (24907)Termination phase: Saturation
% 1.47/0.57
% 1.47/0.57 % (24907)Memory used [KB]: 5500
% 1.47/0.57 % (24907)Time elapsed: 0.107 s
% 1.47/0.57 % (24907)Instructions burned: 8 (million)
% 1.47/0.57 % (24907)------------------------------
% 1.47/0.57 % (24907)------------------------------
% 1.47/0.57 % (24911)Refutation found. Thanks to Tanya!
% 1.47/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.57 % (24911)------------------------------
% 1.47/0.57 % (24911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (24911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (24911)Termination reason: Refutation
% 1.47/0.57
% 1.47/0.57 % (24911)Memory used [KB]: 5500
% 1.47/0.57 % (24911)Time elapsed: 0.152 s
% 1.47/0.57 % (24911)Instructions burned: 8 (million)
% 1.47/0.57 % (24911)------------------------------
% 1.47/0.57 % (24911)------------------------------
% 1.47/0.57 % (24898)Success in time 0.218 s
%------------------------------------------------------------------------------