TSTP Solution File: GRP069-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP069-1 : 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 : n028.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 2.48s 0.68s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 29 unt; 0 def)
% Number of atoms : 58 ( 38 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 : 6 ( 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 : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1600,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f1536,f1597,f1599]) ).
fof(f1599,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1598,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f18,f55]) ).
fof(f55,plain,
! [X6] : divide(identity,divide(identity,X6)) = X6,
inference(forward_demodulation,[],[f45,f29]) ).
fof(f29,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f20,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f20,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f45,plain,
! [X6] : divide(identity,divide(divide(identity,X6),identity)) = X6,
inference(superposition,[],[f36,f29]) ).
fof(f36,plain,
! [X4,X5] : divide(X4,divide(divide(identity,X5),divide(identity,X4))) = X5,
inference(forward_demodulation,[],[f34,f29]) ).
fof(f34,plain,
! [X4,X5] : divide(X4,divide(divide(divide(identity,X5),identity),divide(identity,X4))) = X5,
inference(superposition,[],[f20,f29]) ).
fof(f18,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_3
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1597,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1596,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f14,f368]) ).
fof(f368,plain,
! [X0,X1] : divide(divide(X1,X0),divide(identity,X0)) = X1,
inference(superposition,[],[f323,f55]) ).
fof(f323,plain,
! [X2,X3] : divide(divide(X2,divide(identity,X3)),X3) = X2,
inference(forward_demodulation,[],[f290,f55]) ).
fof(f290,plain,
! [X2,X3] : divide(divide(divide(identity,divide(identity,X2)),divide(identity,X3)),X3) = X2,
inference(superposition,[],[f36,f23]) ).
fof(f23,plain,
! [X0,X1] : divide(X1,divide(identity,divide(divide(identity,X1),divide(identity,X0)))) = X0,
inference(superposition,[],[f20,f4]) ).
fof(f14,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_2
<=> identity = divide(divide(identity,a1),divide(identity,a1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1536,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f462,f1143]) ).
fof(f1143,plain,
! [X31,X29,X30] : divide(divide(X29,divide(identity,X30)),X31) = divide(X29,divide(X31,X30)),
inference(superposition,[],[f1117,f323]) ).
fof(f1117,plain,
! [X56,X57,X55] : divide(divide(X55,X56),divide(X57,X56)) = divide(X55,X57),
inference(forward_demodulation,[],[f1093,f55]) ).
fof(f1093,plain,
! [X56,X57,X55] : divide(divide(X55,X56),divide(divide(identity,divide(identity,X57)),X56)) = divide(X55,X57),
inference(superposition,[],[f323,f769]) ).
fof(f769,plain,
! [X11,X12,X13] : divide(divide(divide(X11,X13),divide(divide(identity,X12),X13)),X12) = X11,
inference(forward_demodulation,[],[f743,f55]) ).
fof(f743,plain,
! [X11,X12,X13] : divide(divide(divide(divide(identity,divide(identity,X11)),X13),divide(divide(identity,X12),X13)),X12) = X11,
inference(superposition,[],[f486,f20]) ).
fof(f486,plain,
! [X18,X19,X20] : divide(divide(X18,X19),divide(divide(identity,X20),divide(X19,X18))) = X20,
inference(superposition,[],[f36,f405]) ).
fof(f405,plain,
! [X12,X13] : divide(X13,X12) = divide(identity,divide(X12,X13)),
inference(forward_demodulation,[],[f393,f55]) ).
fof(f393,plain,
! [X12,X13] : divide(X13,X12) = divide(identity,divide(X12,divide(identity,divide(identity,X13)))),
inference(superposition,[],[f59,f323]) ).
fof(f59,plain,
! [X4,X5] : divide(identity,X4) = divide(X5,divide(X4,divide(identity,X5))),
inference(forward_demodulation,[],[f58,f29]) ).
fof(f58,plain,
! [X4,X5] : divide(divide(identity,X4),identity) = divide(X5,divide(X4,divide(identity,X5))),
inference(forward_demodulation,[],[f40,f4]) ).
fof(f40,plain,
! [X4,X5] : divide(divide(identity,X4),divide(identity,identity)) = divide(X5,divide(X4,divide(identity,X5))),
inference(superposition,[],[f36,f36]) ).
fof(f462,plain,
( divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| spl0_1 ),
inference(backward_demodulation,[],[f10,f405]) ).
fof(f10,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> divide(a3,divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(a3,divide(identity,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,
( a2 != divide(identity,divide(identity,a2))
| identity != divide(divide(identity,a1),divide(identity,a1))
| divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)) ),
inference(definition_unfolding,[],[f5,f2,f3,f2,f2,f2,f2,f2]) ).
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,
( identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP069-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:20:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (12402)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (12418)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (12400)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)
% 0.20/0.56 % (12410)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)
% 0.20/0.56 % (12402)Instruction limit reached!
% 0.20/0.56 % (12402)------------------------------
% 0.20/0.56 % (12402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12402)Termination reason: Unknown
% 0.20/0.56 % (12402)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (12402)Memory used [KB]: 895
% 0.20/0.56 % (12402)Time elapsed: 0.004 s
% 0.20/0.56 % (12402)Instructions burned: 2 (million)
% 0.20/0.56 % (12402)------------------------------
% 0.20/0.56 % (12402)------------------------------
% 0.20/0.56 TRYING [1]
% 1.46/0.56 TRYING [2]
% 1.46/0.56 TRYING [3]
% 1.46/0.56 % (12409)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)
% 1.46/0.57 % (12401)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.57 % (12416)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)
% 1.46/0.57 % (12401)Instruction limit reached!
% 1.46/0.57 % (12401)------------------------------
% 1.46/0.57 % (12401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (12408)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)
% 1.46/0.57 % (12417)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)
% 1.46/0.57 % (12401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (12401)Termination reason: Unknown
% 1.46/0.57 % (12401)Termination phase: Saturation
% 1.46/0.57
% 1.78/0.58 TRYING [4]
% 1.78/0.58 % (12401)Memory used [KB]: 5500
% 1.78/0.58 % (12401)Time elapsed: 0.144 s
% 1.78/0.58 % (12401)Instructions burned: 7 (million)
% 1.78/0.58 % (12401)------------------------------
% 1.78/0.58 % (12401)------------------------------
% 1.78/0.62 % (12396)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)
% 1.78/0.62 % (12405)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)
% 1.78/0.62 % (12420)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)
% 1.78/0.63 % (12399)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)
% 1.78/0.63 % (12421)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)
% 1.78/0.63 % (12404)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.78/0.63 % (12397)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)
% 1.78/0.63 % (12412)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.78/0.63 % (12411)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.78/0.63 % (12400)Instruction limit reached!
% 1.78/0.63 % (12400)------------------------------
% 1.78/0.63 % (12400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63 % (12400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.63 % (12400)Termination reason: Unknown
% 1.78/0.63 % (12400)Termination phase: Finite model building SAT solving
% 1.78/0.63
% 1.78/0.63 % (12400)Memory used [KB]: 6780
% 1.78/0.63 % (12400)Time elapsed: 0.155 s
% 1.78/0.63 % (12400)Instructions burned: 51 (million)
% 1.78/0.63 % (12400)------------------------------
% 1.78/0.63 % (12400)------------------------------
% 1.78/0.64 % (12413)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)
% 1.78/0.64 TRYING [1]
% 1.78/0.64 TRYING [2]
% 1.78/0.64 % (12403)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)
% 1.78/0.64 % (12423)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)
% 1.78/0.65 % (12395)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)
% 1.78/0.65 % (12407)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.78/0.65 % (12419)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.35/0.66 % (12415)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.35/0.66 TRYING [3]
% 2.35/0.67 % (12408)Instruction limit reached!
% 2.35/0.67 % (12408)------------------------------
% 2.35/0.67 % (12408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.68 % (12409)Instruction limit reached!
% 2.48/0.68 % (12409)------------------------------
% 2.48/0.68 % (12409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.68 % (12409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.68 % (12409)Termination reason: Unknown
% 2.48/0.68 % (12409)Termination phase: Saturation
% 2.48/0.68 % (12408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.68
% 2.48/0.68 % (12409)Memory used [KB]: 2046
% 2.48/0.68 % (12409)Time elapsed: 0.237 s
% 2.48/0.68 % (12409)Instructions burned: 75 (million)
% 2.48/0.68 % (12409)------------------------------
% 2.48/0.68 % (12409)------------------------------
% 2.48/0.68 % (12408)Termination reason: Unknown
% 2.48/0.68 % (12408)Termination phase: Saturation
% 2.48/0.68
% 2.48/0.68 % (12408)Memory used [KB]: 6908
% 2.48/0.68 % (12408)Time elapsed: 0.057 s
% 2.48/0.68 % (12408)Instructions burned: 69 (million)
% 2.48/0.68 % (12408)------------------------------
% 2.48/0.68 % (12408)------------------------------
% 2.48/0.68 % (12394)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)
% 2.48/0.68 TRYING [1]
% 2.48/0.68 TRYING [2]
% 2.48/0.68 % (12410)First to succeed.
% 2.48/0.68 % (12410)Refutation found. Thanks to Tanya!
% 2.48/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.48/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.68 % (12410)------------------------------
% 2.48/0.68 % (12410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.68 % (12410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.68 % (12410)Termination reason: Refutation
% 2.48/0.68
% 2.48/0.68 % (12410)Memory used [KB]: 6396
% 2.48/0.68 % (12410)Time elapsed: 0.238 s
% 2.48/0.68 % (12410)Instructions burned: 58 (million)
% 2.48/0.68 % (12410)------------------------------
% 2.48/0.68 % (12410)------------------------------
% 2.48/0.68 % (12393)Success in time 0.329 s
%------------------------------------------------------------------------------