TSTP Solution File: GRP131-2.002 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n011.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 16:14:30 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 60 ( 4 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 174 ( 88 ~; 78 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f52,f66,f81,f86,f98,f104,f106,f108,f118,f135]) ).
fof(f135,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f134,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f133,f80]) ).
fof(f80,plain,
( product(e_2,e_2,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_8
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f133,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f128,f80]) ).
fof(f128,plain,
( ! [X0] :
( ~ product(e_2,e_2,X0)
| ~ product(X0,e_2,e_2) )
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f110,f47]) ).
fof(f47,plain,
( product(e_2,e_1,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_3
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f110,plain,
( ! [X0,X1] :
( ~ product(X1,e_1,e_1)
| ~ product(X1,e_2,X0)
| ~ product(X0,e_2,e_2) )
| ~ spl0_2 ),
inference(resolution,[],[f35,f14]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,e_1,X3)
| ~ product(X1,e_2,X3)
| ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X2) ),
inference(resolution,[],[f6,f13]) ).
fof(f13,axiom,
! [X2,X8,X6,X9,X7,X5] :
( equalish(X5,X8)
| ~ product(X9,X8,X7)
| ~ product(X9,X5,X2)
| ~ product(X2,X5,X6)
| ~ product(X7,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f35,plain,
( product(e_1,e_1,e_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f118,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f113,f35]) ).
fof(f113,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl0_4 ),
inference(resolution,[],[f51,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f11,f6]) ).
fof(f11,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X4,X1,X0)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f51,plain,
( product(e_2,e_1,e_2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_4
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f108,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f65,f93]) ).
fof(f93,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| ~ product(X0,e_2,e_1) )
| ~ spl0_1 ),
inference(resolution,[],[f71,f31]) ).
fof(f31,plain,
( product(e_1,e_1,e_1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_1
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f71,plain,
( ! [X0,X1] :
( ~ product(X1,e_1,e_1)
| ~ product(X1,e_2,X0)
| ~ product(X0,e_2,e_1) )
| ~ spl0_1 ),
inference(resolution,[],[f31,f14]) ).
fof(f65,plain,
( product(e_1,e_2,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_6
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f106,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f102,f51]) ).
fof(f102,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl0_8 ),
inference(resolution,[],[f80,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f10,f6]) ).
fof(f10,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X0,X3,X1)
| ~ product(X0,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f104,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f100,f61]) ).
fof(f61,plain,
( product(e_1,e_2,e_2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_5
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f100,plain,
( ~ product(e_1,e_2,e_2)
| ~ spl0_8 ),
inference(resolution,[],[f80,f22]) ).
fof(f98,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f95,f59,f29,f74]) ).
fof(f74,plain,
( spl0_7
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f95,plain,
( ~ product(e_2,e_2,e_1)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f93,f61]) ).
fof(f86,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f84,f47]) ).
fof(f84,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl0_7 ),
inference(resolution,[],[f76,f20]) ).
fof(f76,plain,
( product(e_2,e_2,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f81,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f78,f74]) ).
fof(f42,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[],[f25,f5]) ).
fof(f5,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f25,plain,
! [X1] :
( ~ group_element(X1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1) ),
inference(resolution,[],[f8,f5]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f66,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f41,f63,f59]) ).
fof(f41,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,[],[f25,f4]) ).
fof(f4,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f52,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f49,f45]) ).
fof(f27,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f24,f5]) ).
fof(f24,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f8,f4]) ).
fof(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f26,f33,f29]) ).
fof(f26,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f24,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:13:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (24978)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (24998)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (24981)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51 % (24995)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (24991)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (24979)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52 % (24991)Instruction limit reached!
% 0.20/0.52 % (24991)------------------------------
% 0.20/0.52 % (24991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24989)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52 % (24981)Refutation not found, incomplete strategy% (24981)------------------------------
% 0.20/0.52 % (24981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24981)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (24981)Memory used [KB]: 5756
% 0.20/0.52 % (24981)Time elapsed: 0.004 s
% 0.20/0.52 % (24981)Instructions burned: 1 (million)
% 0.20/0.52 % (24981)------------------------------
% 0.20/0.52 % (24981)------------------------------
% 0.20/0.52 % (24983)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (24991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24991)Termination reason: Unknown
% 0.20/0.52 % (24991)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (24991)Memory used [KB]: 5884
% 0.20/0.52 % (24991)Time elapsed: 0.119 s
% 0.20/0.52 % (24991)Instructions burned: 4 (million)
% 0.20/0.52 % (24991)------------------------------
% 0.20/0.52 % (24991)------------------------------
% 0.20/0.52 % (24998)Refutation not found, incomplete strategy% (24998)------------------------------
% 0.20/0.52 % (24998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24998)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (24998)Memory used [KB]: 5756
% 0.20/0.52 % (24998)Time elapsed: 0.128 s
% 0.20/0.52 % (24998)Instructions burned: 2 (million)
% 0.20/0.52 % (24998)------------------------------
% 0.20/0.52 % (24998)------------------------------
% 0.20/0.52 % (24982)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (24980)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52 % (24982)Refutation not found, incomplete strategy% (24982)------------------------------
% 0.20/0.52 % (24982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24982)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (24982)Memory used [KB]: 5756
% 0.20/0.52 % (24982)Time elapsed: 0.002 s
% 0.20/0.52 % (24982)------------------------------
% 0.20/0.52 % (24982)------------------------------
% 0.20/0.52 % (24980)Refutation not found, incomplete strategy% (24980)------------------------------
% 0.20/0.52 % (24980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24986)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (24989)First to succeed.
% 0.20/0.52 % (24985)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (24994)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (24989)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (24989)------------------------------
% 0.20/0.53 % (24989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (24989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (24989)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (24989)Memory used [KB]: 5884
% 0.20/0.53 % (24989)Time elapsed: 0.132 s
% 0.20/0.53 % (24989)Instructions burned: 4 (million)
% 0.20/0.53 % (24989)------------------------------
% 0.20/0.53 % (24989)------------------------------
% 0.20/0.53 % (24975)Success in time 0.171 s
%------------------------------------------------------------------------------