TSTP Solution File: GRP125-4.003 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP125-4.003 : 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 : n027.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 16:20:24 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 46 ~; 53 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f355,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f76,f121,f179,f210,f276,f331,f350]) ).
fof(f350,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f347,f12]) ).
fof(f12,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f347,plain,
( equalish(e_3,e_1)
| ~ spl0_1 ),
inference(resolution,[],[f44,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f16,f18]) ).
fof(f18,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f16,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X4,X1)
| equalish(X4,X5)
| ~ product(X0,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f44,plain,
( product(e_3,e_1,e_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_1
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f331,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f329,f140]) ).
fof(f140,plain,
( ~ product(e_3,e_3,e_1)
| spl0_13 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_13
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f329,plain,
( product(e_3,e_3,e_1)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f80,f120]) ).
fof(f120,plain,
( product(e_1,e_2,e_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_9
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f80,plain,
( ! [X3] :
( ~ product(e_1,e_2,X3)
| product(X3,e_3,e_1) )
| ~ spl0_3 ),
inference(resolution,[],[f52,f19]) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product(X1,X0,X3)
| ~ product(X0,X1,X2)
| product(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f52,plain,
( product(e_2,e_1,e_3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_3
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f276,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f273,f9]) ).
fof(f9,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f273,plain,
( equalish(e_1,e_3)
| ~ spl0_13 ),
inference(resolution,[],[f141,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f15,f18]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X5)
| ~ product(X0,X1,X4)
| equalish(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f141,plain,
( product(e_3,e_3,e_1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f210,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f207,f13]) ).
fof(f13,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f207,plain,
( equalish(e_3,e_2)
| ~ spl0_8 ),
inference(resolution,[],[f116,f26]) ).
fof(f116,plain,
( product(e_2,e_2,e_3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_8
<=> product(e_2,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f179,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f176,f13]) ).
fof(f176,plain,
( equalish(e_3,e_2)
| ~ spl0_7 ),
inference(resolution,[],[f112,f27]) ).
fof(f112,plain,
( product(e_3,e_2,e_3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_7
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f121,plain,
( spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f108,f118,f114,f110]) ).
fof(f108,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3) ),
inference(resolution,[],[f31,f7]) ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f31,plain,
! [X1] :
( ~ group_element(X1)
| product(e_3,e_2,X1)
| product(e_2,e_2,X1)
| product(e_1,e_2,X1) ),
inference(resolution,[],[f1,f6]) ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f1,axiom,
! [X0,X1] :
( ~ group_element(X0)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1)
| ~ group_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f76,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f73,f12]) ).
fof(f73,plain,
( equalish(e_3,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f48,f26]) ).
fof(f48,plain,
( product(e_1,e_1,e_3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_2
<=> product(e_1,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f53,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f50,f46,f42]) ).
fof(f40,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[],[f30,f7]) ).
fof(f30,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,e_1,X0)
| product(e_3,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP125-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:29:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (23423)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (23423)First to succeed.
% 0.18/0.51 % (23423)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (23423)------------------------------
% 0.18/0.51 % (23423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (23423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (23423)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (23423)Memory used [KB]: 5500
% 0.18/0.51 % (23423)Time elapsed: 0.119 s
% 0.18/0.51 % (23423)Instructions burned: 12 (million)
% 0.18/0.51 % (23423)------------------------------
% 0.18/0.51 % (23423)------------------------------
% 0.18/0.51 % (23418)Success in time 0.171 s
%------------------------------------------------------------------------------