TSTP Solution File: GRP035-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n019.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 16:19:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 98 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 46 ~; 44 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f252,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f78,f86,f231,f242,f249,f251]) ).
fof(f251,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f250,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f230,f13]) ).
fof(f13,axiom,
~ subgroup_member(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
fof(f230,plain,
( subgroup_member(c)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_10
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f249,plain,
( ~ spl0_4
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| ~ spl0_4
| spl0_9 ),
inference(resolution,[],[f247,f11]) ).
fof(f11,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f247,plain,
( ~ subgroup_member(b)
| ~ spl0_4
| spl0_9 ),
inference(resolution,[],[f226,f77]) ).
fof(f77,plain,
( ! [X3] :
( subgroup_member(inverse(X3))
| ~ subgroup_member(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_4
<=> ! [X3] :
( subgroup_member(inverse(X3))
| ~ subgroup_member(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f226,plain,
( ~ subgroup_member(inverse(b))
| spl0_9 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl0_9
<=> subgroup_member(inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f242,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f222,f10]) ).
fof(f10,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f222,plain,
( ~ subgroup_member(a)
| spl0_8 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl0_8
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f231,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f217,f228,f224,f220]) ).
fof(f217,plain,
( subgroup_member(c)
| ~ subgroup_member(inverse(b))
| ~ subgroup_member(a) ),
inference(superposition,[],[f190,f21]) ).
fof(f21,plain,
c = multiply(a,b),
inference(resolution,[],[f19,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f19,plain,
! [X11] :
( ~ product(a,b,X11)
| c = X11 ),
inference(resolution,[],[f6,f12]) ).
fof(f12,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f190,plain,
! [X11,X12] :
( subgroup_member(multiply(X12,X11))
| ~ subgroup_member(X12)
| ~ subgroup_member(inverse(X11)) ),
inference(superposition,[],[f58,f179]) ).
fof(f179,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(resolution,[],[f168,f4]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f168,plain,
! [X6,X7] :
( ~ product(X6,X7,identity)
| inverse(X7) = X6 ),
inference(resolution,[],[f149,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X1,identity,X0)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f149,plain,
! [X6,X5] :
( product(X5,identity,inverse(X6))
| ~ product(X5,X6,identity) ),
inference(resolution,[],[f107,f4]) ).
fof(f107,plain,
! [X16,X14,X15,X13] :
( ~ product(X14,X16,X15)
| product(X13,X15,X16)
| ~ product(X13,X14,identity) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| product(X0,X5,X3)
| ~ product(X1,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f58,plain,
! [X2,X1] :
( subgroup_member(multiply(X1,inverse(X2)))
| ~ subgroup_member(X1)
| ~ subgroup_member(X2) ),
inference(resolution,[],[f9,f5]) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ product(X6,inverse(X7),X8)
| subgroup_member(X8)
| ~ subgroup_member(X6)
| ~ subgroup_member(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f86,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f73,f10]) ).
fof(f73,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_3
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f78,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f59,f76,f64]) ).
fof(f64,plain,
( spl0_1
<=> subgroup_member(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f59,plain,
! [X3] :
( subgroup_member(inverse(X3))
| ~ subgroup_member(identity)
| ~ subgroup_member(X3) ),
inference(resolution,[],[f9,f1]) ).
fof(f74,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f62,f64,f72]) ).
fof(f62,plain,
! [X0] :
( subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f9,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : n019.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:12:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (16423)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)
% 0.20/0.52 % (16431)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)
% 0.20/0.52 % (16419)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)
% 0.20/0.52 % (16437)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)
% 0.20/0.52 % (16439)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (16418)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16429)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)
% 0.20/0.53 % (16414)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (16417)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)
% 0.20/0.53 % (16421)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (16424)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (16443)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (16426)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)
% 0.20/0.54 % (16420)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (16436)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (16438)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)
% 0.20/0.54 % (16426)First to succeed.
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (16430)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)
% 0.20/0.54 % (16442)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)
% 0.20/0.54 % (16440)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (16435)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)
% 0.20/0.55 % (16415)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)
% 0.20/0.55 % (16415)Refutation not found, incomplete strategy% (16415)------------------------------
% 0.20/0.55 % (16415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (16422)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 % (16422)Instruction limit reached!
% 0.20/0.55 % (16422)------------------------------
% 0.20/0.55 % (16422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (16434)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)
% 0.20/0.55 % (16427)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (16432)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (16415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (16415)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (16415)Memory used [KB]: 5373
% 0.20/0.55 % (16415)Time elapsed: 0.146 s
% 0.20/0.55 % (16415)Instructions burned: 2 (million)
% 0.20/0.55 % (16415)------------------------------
% 0.20/0.55 % (16415)------------------------------
% 0.20/0.55 % (16426)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (16426)------------------------------
% 0.20/0.55 % (16426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (16426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (16426)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (16426)Memory used [KB]: 5500
% 0.20/0.55 % (16426)Time elapsed: 0.139 s
% 0.20/0.55 % (16426)Instructions burned: 8 (million)
% 0.20/0.55 % (16426)------------------------------
% 0.20/0.55 % (16426)------------------------------
% 0.20/0.55 % (16412)Success in time 0.198 s
%------------------------------------------------------------------------------