TSTP Solution File: GRP123-3.003 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP123-3.003 : 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 : n025.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 16:14:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 56 ( 13 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 49 ~; 53 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f316,plain,
$false,
inference(avatar_sat_refutation,[],[f119,f132,f192,f217,f228,f258,f260,f271,f313,f315]) ).
fof(f315,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| ~ spl0_26 ),
inference(resolution,[],[f252,f22]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f252,plain,
( equalish(e_2,e_1)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_26
<=> equalish(e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f313,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f281,f21]) ).
fof(f21,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f281,plain,
( equalish(e_1,e_3)
| ~ spl0_14 ),
inference(resolution,[],[f131,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f28,f30]) ).
fof(f30,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X1)
| equalish(X3,X2)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f131,plain,
( product(e_3,e_1,e_3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_14
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f271,plain,
( spl0_19
| ~ spl0_13
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f268,f112,f125,f167]) ).
fof(f167,plain,
( spl0_19
<=> equalish(e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f125,plain,
( spl0_13
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f112,plain,
( spl0_10
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f268,plain,
( ~ product(e_3,e_1,e_2)
| equalish(e_1,e_2)
| ~ spl0_10 ),
inference(resolution,[],[f114,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| equalish(X0,X1)
| ~ product(X2,X0,X1) ),
inference(resolution,[],[f37,f30]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X2,X2)
| equalish(X1,X2)
| ~ product(X3,X1,X0)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f32,f30]) ).
fof(f32,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ product(X8,X9,X4)
| ~ product(X6,X7,X4)
| ~ product(X5,X9,X8)
| ~ product(X5,X7,X6)
| equalish(X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
fof(f114,plain,
( product(e_2,e_1,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f260,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| ~ spl0_20 ),
inference(resolution,[],[f186,f24]) ).
fof(f24,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f186,plain,
( equalish(e_3,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl0_20
<=> equalish(e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f258,plain,
( spl0_26
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f242,f116,f250]) ).
fof(f116,plain,
( spl0_11
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f242,plain,
( equalish(e_2,e_1)
| ~ spl0_11 ),
inference(resolution,[],[f118,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f29,f30]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| equalish(X3,X2)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f118,plain,
( product(e_2,e_1,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f228,plain,
( spl0_19
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f226,f108,f167]) ).
fof(f108,plain,
( spl0_9
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f226,plain,
( equalish(e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[],[f110,f44]) ).
fof(f110,plain,
( product(e_2,e_1,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f217,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f169,f20]) ).
fof(f20,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f169,plain,
( equalish(e_1,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f192,plain,
( spl0_20
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f180,f121,f184]) ).
fof(f121,plain,
( spl0_12
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f180,plain,
( equalish(e_3,e_1)
| ~ spl0_12 ),
inference(resolution,[],[f123,f46]) ).
fof(f123,plain,
( product(e_3,e_1,e_1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f132,plain,
( spl0_12
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f106,f129,f125,f121]) ).
fof(f106,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[],[f101,f19]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f101,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_1) ),
inference(resolution,[],[f26,f17]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f26,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_3)
| ~ group_element(X0)
| product(X0,X1,e_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f119,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f105,f116,f112,f108]) ).
fof(f105,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f101,f18]) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % 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 : n025.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 22:23:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 % (4287)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.47 % (4289)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)
% 0.20/0.47 % (4287)First to succeed.
% 0.20/0.47 % (4287)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (4287)------------------------------
% 0.20/0.47 % (4287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (4287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (4287)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (4287)Memory used [KB]: 6012
% 0.20/0.47 % (4287)Time elapsed: 0.087 s
% 0.20/0.47 % (4287)Instructions burned: 8 (million)
% 0.20/0.47 % (4287)------------------------------
% 0.20/0.47 % (4287)------------------------------
% 0.20/0.47 % (4281)Success in time 0.123 s
%------------------------------------------------------------------------------