TSTP Solution File: GRP067-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP067-1 : 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 : n026.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 16:20:01 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% 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 : 7 ( 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(f1244,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f1174,f1241,f1243]) ).
fof(f1243,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f18,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
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(f1241,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1240,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f14,f72]) ).
fof(f72,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f52,f54]) ).
fof(f54,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f26,f52]) ).
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(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f52,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(f14,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_2
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1174,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f155,f518]) ).
fof(f518,plain,
! [X2,X0,X1] : divide(divide(X1,divide(identity,X0)),X2) = divide(X1,divide(X2,X0)),
inference(superposition,[],[f496,f72]) ).
fof(f496,plain,
! [X10,X11,X9] : divide(divide(X9,X10),X11) = divide(X9,divide(X11,divide(identity,X10))),
inference(forward_demodulation,[],[f467,f139]) ).
fof(f139,plain,
! [X0,X1] : divide(X1,X0) = divide(identity,divide(X0,X1)),
inference(superposition,[],[f88,f73]) ).
fof(f73,plain,
! [X4,X5] : divide(divide(identity,divide(X4,X5)),divide(identity,X4)) = X5,
inference(backward_demodulation,[],[f23,f54]) ).
fof(f88,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(backward_demodulation,[],[f21,f72]) ).
fof(f467,plain,
! [X10,X11,X9] : divide(X9,divide(identity,divide(divide(identity,X10),X11))) = divide(divide(X9,X10),X11),
inference(superposition,[],[f154,f88]) ).
fof(f154,plain,
! [X2,X0,X1] : divide(divide(divide(X1,divide(divide(identity,X0),X2)),X0),X2) = X1,
inference(backward_demodulation,[],[f20,f139]) ).
fof(f155,plain,
( divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| spl0_1 ),
inference(backward_demodulation,[],[f10,f139]) ).
fof(f10,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> 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_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))
| a2 != divide(identity,divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2,f2,f2,f3]) ).
fof(f3,axiom,
! [X0] : divide(identity,X0) = inverse(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))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP067-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 : n026.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 22:24:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (29822)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)
% 0.19/0.50 % (29828)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (29830)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)
% 0.19/0.51 % (29849)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)
% 0.19/0.51 % (29842)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)
% 0.19/0.51 % (29819)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)
% 0.19/0.51 % (29833)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (29821)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (29836)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)
% 0.19/0.52 % (29843)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)
% 0.19/0.52 % (29820)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)
% 0.19/0.52 % (29835)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)
% 0.19/0.52 % (29845)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (29817)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)
% 0.19/0.53 % (29824)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (29825)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (29826)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (29826)Instruction limit reached!
% 0.19/0.53 % (29826)------------------------------
% 0.19/0.53 % (29826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (29826)Termination reason: Unknown
% 0.19/0.53 % (29826)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (29826)Memory used [KB]: 895
% 0.19/0.53 % (29826)Time elapsed: 0.002 s
% 0.19/0.53 % (29826)Instructions burned: 2 (million)
% 0.19/0.53 % (29826)------------------------------
% 0.19/0.53 % (29826)------------------------------
% 0.19/0.53 % (29837)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (29827)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 TRYING [2]
% 0.19/0.54 % (29831)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (29839)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)
% 0.19/0.54 % (29844)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (29840)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)
% 0.19/0.54 % (29838)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (29834)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)
% 0.19/0.54 % (29846)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)
% 0.19/0.55 % (29818)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)
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (29825)Instruction limit reached!
% 0.19/0.55 % (29825)------------------------------
% 0.19/0.55 % (29825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (29825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (29825)Termination reason: Unknown
% 0.19/0.55 % (29825)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (29825)Memory used [KB]: 5500
% 0.19/0.55 % (29825)Time elapsed: 0.115 s
% 0.19/0.55 % (29825)Instructions burned: 7 (million)
% 0.19/0.55 % (29825)------------------------------
% 0.19/0.55 % (29825)------------------------------
% 0.19/0.55 % (29841)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (29847)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)
% 0.19/0.56 TRYING [4]
% 0.19/0.56 % (29819)Instruction limit reached!
% 0.19/0.56 % (29819)------------------------------
% 0.19/0.56 % (29819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (29819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29819)Termination reason: Unknown
% 0.19/0.56 % (29819)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (29819)Memory used [KB]: 1535
% 0.19/0.56 % (29819)Time elapsed: 0.151 s
% 0.19/0.56 % (29819)Instructions burned: 38 (million)
% 0.19/0.56 % (29819)------------------------------
% 0.19/0.56 % (29819)------------------------------
% 0.19/0.56 % (29822)First to succeed.
% 0.19/0.56 % (29822)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (29822)------------------------------
% 0.19/0.56 % (29822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (29822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29822)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (29822)Memory used [KB]: 6268
% 0.19/0.56 % (29822)Time elapsed: 0.165 s
% 0.19/0.56 % (29822)Instructions burned: 45 (million)
% 0.19/0.56 % (29822)------------------------------
% 0.19/0.56 % (29822)------------------------------
% 0.19/0.56 % (29812)Success in time 0.214 s
%------------------------------------------------------------------------------