TSTP Solution File: GRP128-4.003 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n007.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 16:20:27 EDT 2022
% Result : Unsatisfiable 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 47 ~; 60 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f100,f122,f198,f293,f307,f317]) ).
fof(f317,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f309,f8]) ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f309,plain,
( equalish(e_1,e_2)
| ~ spl0_8 ),
inference(resolution,[],[f117,f139]) ).
fof(f139,plain,
! [X1] :
( ~ product(e_2,X1,e_2)
| equalish(X1,e_2) ),
inference(resolution,[],[f124,f16]) ).
fof(f16,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X5,X1)
| ~ product(X0,X4,X1)
| equalish(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f124,plain,
product(e_2,e_2,e_2),
inference(subsumption_resolution,[],[f123,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
fof(f123,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2) ),
inference(subsumption_resolution,[],[f108,f4]) ).
fof(f108,plain,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,[],[f20,f6]) ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f20,plain,
! [X1] :
( ~ group_element(X1)
| product(e_1,X1,e_2)
| product(e_2,X1,e_2)
| product(e_3,X1,e_2) ),
inference(resolution,[],[f1,f6]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1)
| ~ group_element(X0)
| product(e_1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f117,plain,
( product(e_2,e_1,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_8
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f307,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f299,f8]) ).
fof(f299,plain,
( equalish(e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[],[f121,f55]) ).
fof(f55,plain,
! [X2] :
( ~ product(e_1,e_1,X2)
| equalish(e_1,X2) ),
inference(resolution,[],[f52,f15]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X1,X5)
| equalish(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f52,plain,
product(e_1,e_1,e_1),
inference(subsumption_resolution,[],[f51,f4]) ).
fof(f51,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(subsumption_resolution,[],[f22,f4]) ).
fof(f22,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[],[f19,f5]) ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f19,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[],[f1,f5]) ).
fof(f121,plain,
( product(e_1,e_1,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_9
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f293,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f281,f8]) ).
fof(f281,plain,
( equalish(e_1,e_2)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f277,f53]) ).
fof(f53,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_1,X0) ),
inference(resolution,[],[f52,f17]) ).
fof(f17,axiom,
! [X0,X1,X4,X5] :
( ~ product(X4,X1,X0)
| equalish(X4,X5)
| ~ product(X5,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f277,plain,
( product(e_2,e_1,e_1)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f274,f49]) ).
fof(f49,plain,
( product(e_3,e_2,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_6
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f274,plain,
( ! [X4] :
( ~ product(e_3,e_2,X4)
| product(e_2,e_1,X4) )
| ~ spl0_7 ),
inference(resolution,[],[f113,f4]) ).
fof(f113,plain,
( product(e_3,e_1,e_2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_7
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f198,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f197,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f187,f10]) ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f187,plain,
( equalish(e_2,e_1)
| ~ spl0_5 ),
inference(resolution,[],[f45,f140]) ).
fof(f140,plain,
! [X2] :
( ~ product(e_2,e_2,X2)
| equalish(e_2,X2) ),
inference(resolution,[],[f124,f15]) ).
fof(f45,plain,
( product(e_2,e_2,e_1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_5
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f122,plain,
( spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f107,f119,f115,f111]) ).
fof(f107,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[],[f20,f5]) ).
fof(f100,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f92,f10]) ).
fof(f92,plain,
( equalish(e_2,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f41,f54]) ).
fof(f54,plain,
! [X1] :
( ~ product(e_1,X1,e_1)
| equalish(X1,e_1) ),
inference(resolution,[],[f52,f16]) ).
fof(f41,plain,
( product(e_1,e_2,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_4
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f50,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f47,f43,f39]) ).
fof(f23,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f19,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.12/0.34 % Computer : n007.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 22:01:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.54 % (6845)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (6853)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)
% 0.20/0.55 % (6845)Instruction limit reached!
% 0.20/0.55 % (6845)------------------------------
% 0.20/0.55 % (6845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (6861)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 % (6845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (6845)Termination reason: Unknown
% 0.20/0.55 % (6845)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (6845)Memory used [KB]: 5373
% 0.20/0.55 % (6845)Time elapsed: 0.003 s
% 0.20/0.55 % (6845)Instructions burned: 2 (million)
% 0.20/0.55 % (6845)------------------------------
% 0.20/0.55 % (6845)------------------------------
% 0.20/0.55 % (6843)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)
% 0.20/0.55 Detected maximum model sizes of [3]
% 0.20/0.56 % (6860)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)
% 0.20/0.56 % (6844)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (6859)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)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (6851)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)
% 0.20/0.56 % (6844)Instruction limit reached!
% 0.20/0.56 % (6844)------------------------------
% 0.20/0.56 % (6844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6860)First to succeed.
% 0.20/0.57 % (6852)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)
% 0.20/0.58 % (6844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (6844)Termination reason: Unknown
% 0.20/0.58 % (6844)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (6844)Memory used [KB]: 5500
% 0.20/0.58 % (6844)Time elapsed: 0.137 s
% 0.20/0.58 % (6844)Instructions burned: 7 (million)
% 0.20/0.58 % (6844)------------------------------
% 0.20/0.58 % (6844)------------------------------
% 0.20/0.58 % (6859)Also succeeded, but the first one will report.
% 0.20/0.58 % (6843)Also succeeded, but the first one will report.
% 0.20/0.58 % (6860)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (6860)------------------------------
% 0.20/0.58 % (6860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (6860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (6860)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (6860)Memory used [KB]: 5500
% 0.20/0.58 % (6860)Time elapsed: 0.153 s
% 0.20/0.58 % (6860)Instructions burned: 10 (million)
% 0.20/0.58 % (6860)------------------------------
% 0.20/0.58 % (6860)------------------------------
% 0.20/0.58 % (6836)Success in time 0.228 s
%------------------------------------------------------------------------------