TSTP Solution File: GRP066-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP066-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 : n023.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 16:20:00 EDT 2022
% Result : Unsatisfiable 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 23 unt; 0 def)
% Number of atoms : 52 ( 32 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1276,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f117,f1208,f1274]) ).
fof(f1274,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1273,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f18,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f18,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_3
<=> identity = divide(divide(identity,a1),divide(identity,a1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1208,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f423,f553]) ).
fof(f553,plain,
! [X2,X0,X1] : divide(divide(X1,divide(identity,X0)),X2) = divide(X1,divide(X2,X0)),
inference(superposition,[],[f224,f94]) ).
fof(f94,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f53,f54]) ).
fof(f54,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f26,f53]) ).
fof(f26,plain,
! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
inference(superposition,[],[f21,f4]) ).
fof(f21,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f20,f4]) ).
fof(f20,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f53,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f45,f4]) ).
fof(f45,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f23,f4]) ).
fof(f23,plain,
! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
inference(superposition,[],[f20,f4]) ).
fof(f224,plain,
! [X2,X3,X4] : divide(X2,divide(X4,divide(identity,X3))) = divide(divide(X2,X3),X4),
inference(forward_demodulation,[],[f202,f166]) ).
fof(f166,plain,
! [X6,X5] : divide(identity,divide(X5,X6)) = divide(X6,X5),
inference(superposition,[],[f111,f95]) ).
fof(f95,plain,
! [X4,X5] : divide(divide(identity,divide(X4,X5)),divide(identity,X4)) = X5,
inference(backward_demodulation,[],[f23,f54]) ).
fof(f111,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(backward_demodulation,[],[f21,f94]) ).
fof(f202,plain,
! [X2,X3,X4] : divide(X2,divide(identity,divide(divide(identity,X3),X4))) = divide(divide(X2,X3),X4),
inference(superposition,[],[f178,f111]) ).
fof(f178,plain,
! [X2,X0,X1] : divide(divide(divide(X1,divide(divide(identity,X0),X2)),X0),X2) = X1,
inference(backward_demodulation,[],[f20,f166]) ).
fof(f423,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3))
| spl0_2 ),
inference(forward_demodulation,[],[f14,f166]) ).
fof(f14,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_2
<=> divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f117,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f10,f94]) ).
fof(f10,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f19,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6,f16,f12,f8]) ).
fof(f6,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| a2 != divide(identity,divide(identity,a2)) ),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2,f2,f3,f2]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP066-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:31:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (19802)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 (2999ds/100Mi)
% 0.18/0.49 % (19806)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 (2999ds/467Mi)
% 0.18/0.49 % (19784)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 (2999ds/37Mi)
% 0.18/0.50 % (19782)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 (2999ds/191324Mi)
% 0.18/0.50 % (19797)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 (2999ds/75Mi)
% 0.18/0.50 % (19810)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 (2999ds/177Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 % (19793)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (19789)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (19807)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (19791)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 (2999ds/51Mi)
% 0.18/0.51 % (19785)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (19783)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (19805)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 (2999ds/498Mi)
% 0.18/0.51 % (19798)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 (2999ds/99Mi)
% 0.18/0.51 % (19786)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (19787)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 (2999ds/48Mi)
% 0.18/0.52 % (19811)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (19800)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 % (19789)Instruction limit reached!
% 0.18/0.52 % (19789)------------------------------
% 0.18/0.52 % (19789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (19789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (19789)Termination reason: Unknown
% 0.18/0.52 % (19789)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (19789)Memory used [KB]: 5500
% 0.18/0.52 % (19789)Time elapsed: 0.087 s
% 0.18/0.52 % (19789)Instructions burned: 8 (million)
% 0.18/0.52 % (19789)------------------------------
% 0.18/0.52 % (19789)------------------------------
% 0.18/0.52 % (19796)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 (2999ds/68Mi)
% 0.18/0.52 % (19788)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 % (19790)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (19804)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (19790)Instruction limit reached!
% 0.18/0.52 % (19790)------------------------------
% 0.18/0.52 % (19790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (19790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (19790)Termination reason: Unknown
% 0.18/0.52 % (19790)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (19790)Memory used [KB]: 5373
% 0.18/0.52 % (19790)Time elapsed: 0.137 s
% 0.18/0.52 % (19790)Instructions burned: 3 (million)
% 0.18/0.52 % (19790)------------------------------
% 0.18/0.52 % (19790)------------------------------
% 0.18/0.52 % (19792)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 TRYING [3]
% 0.18/0.53 TRYING [2]
% 0.18/0.53 TRYING [3]
% 0.18/0.53 % (19808)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 TRYING [4]
% 0.18/0.53 % (19795)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (19809)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 (2999ds/68Mi)
% 0.18/0.53 % (19801)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (19803)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 (2999ds/176Mi)
% 0.18/0.54 TRYING [4]
% 0.18/0.54 % (19794)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54 % (19812)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 (2999ds/355Mi)
% 0.18/0.54 % (19784)Instruction limit reached!
% 0.18/0.54 % (19784)------------------------------
% 0.18/0.54 % (19784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (19784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (19784)Termination reason: Unknown
% 0.18/0.54 % (19784)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (19784)Memory used [KB]: 1535
% 0.18/0.54 % (19784)Time elapsed: 0.120 s
% 0.18/0.54 % (19784)Instructions burned: 38 (million)
% 0.18/0.54 % (19784)------------------------------
% 0.18/0.54 % (19784)------------------------------
% 0.18/0.55 TRYING [4]
% 0.18/0.56 % (19783)Instruction limit reached!
% 0.18/0.56 % (19783)------------------------------
% 0.18/0.56 % (19783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (19798)First to succeed.
% 0.18/0.58 % (19785)Instruction limit reached!
% 0.18/0.58 % (19785)------------------------------
% 0.18/0.58 % (19785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (19783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (19798)Refutation found. Thanks to Tanya!
% 0.18/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.58 % (19798)------------------------------
% 0.18/0.58 % (19798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (19798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (19798)Termination reason: Refutation
% 0.18/0.58
% 0.18/0.58 % (19798)Memory used [KB]: 6268
% 0.18/0.58 % (19798)Time elapsed: 0.174 s
% 0.18/0.58 % (19798)Instructions burned: 46 (million)
% 0.18/0.58 % (19798)------------------------------
% 0.18/0.58 % (19798)------------------------------
% 0.18/0.58 % (19777)Success in time 0.241 s
%------------------------------------------------------------------------------