TSTP Solution File: GRP123-6.003 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP123-6.003 : 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_sat --cores 0 -t %d %s
% Computer : n004.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 16:20:19 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 137 ( 57 ~; 70 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 11 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f61,f110,f112,f139,f175,f177,f179,f181,f183,f193]) ).
fof(f193,plain,
( spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f192,f172,f168]) ).
fof(f168,plain,
( spl0_14
<=> equalish(e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f172,plain,
( spl0_15
<=> product1(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f192,plain,
( equalish(e_3,e_1)
| ~ spl0_15 ),
inference(resolution,[],[f174,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X3,X1)
| equalish(X2,X3)
| ~ product1(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f174,plain,
( product1(e_1,e_3,e_1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f183,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f170,f8]) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f170,plain,
( equalish(e_3,e_1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f181,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f166,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f166,plain,
( equalish(e_1,e_3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl0_13
<=> equalish(e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f179,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f107,f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f107,plain,
( equalish(e_3,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_9
<=> equalish(e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f177,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f162,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f162,plain,
( ~ group_element(e_1)
| spl0_12 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl0_12
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f175,plain,
( ~ spl0_12
| spl0_13
| spl0_14
| spl0_15
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f158,f136,f57,f172,f168,f164,f160]) ).
fof(f57,plain,
( spl0_4
<=> ! [X14] :
( product1(X14,e_3,e_2)
| ~ group_element(X14)
| equalish(X14,e_3)
| product1(X14,e_3,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f136,plain,
( spl0_11
<=> product1(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f158,plain,
( product1(e_1,e_3,e_1)
| equalish(e_3,e_1)
| equalish(e_1,e_3)
| ~ group_element(e_1)
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f151,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f16,f19]) ).
fof(f19,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f151,plain,
( ! [X0] :
( product2(e_1,X0,e_3)
| ~ group_element(X0)
| product1(X0,e_3,e_1)
| equalish(X0,e_3) )
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f140,f58]) ).
fof(f58,plain,
( ! [X14] :
( product1(X14,e_3,e_2)
| product1(X14,e_3,e_1)
| ~ group_element(X14)
| equalish(X14,e_3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f140,plain,
( ! [X0] :
( ~ product1(X0,e_3,e_2)
| product2(e_1,X0,e_3) )
| ~ spl0_11 ),
inference(resolution,[],[f138,f20]) ).
fof(f20,axiom,
! [X0,X1,X4,X5] :
( ~ product1(X4,X1,X5)
| product2(X5,X0,X1)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
fof(f138,plain,
( product1(e_2,e_3,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_11
| ~ spl0_5
| spl0_9
| spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f133,f57,f96,f105,f88,f136]) ).
fof(f88,plain,
( spl0_5
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f96,plain,
( spl0_7
<=> equalish(e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f133,plain,
( equalish(e_2,e_3)
| equalish(e_3,e_2)
| ~ group_element(e_2)
| product1(e_2,e_3,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f58,f23]) ).
fof(f112,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f98,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f98,plain,
( equalish(e_2,e_3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f110,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f109,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f90,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f90,plain,
( ~ group_element(e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f61,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f47,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f47,plain,
( ~ group_element(e_3)
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_1
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f59,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f57,f45]) ).
fof(f41,plain,
! [X14] :
( product1(X14,e_3,e_2)
| product1(X14,e_3,e_1)
| ~ group_element(e_3)
| equalish(X14,e_3)
| ~ group_element(X14) ),
inference(resolution,[],[f10,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X3,X1,X0)
| ~ product1(X2,X1,X0)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f10,axiom,
! [X0,X1] :
( product1(X0,X1,e_3)
| ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP123-6.003 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 22:09:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (30861)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (30868)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)
% 0.20/0.50 % (30868)First to succeed.
% 0.20/0.50 % (30875)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (30863)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)
% 0.20/0.50 Detected maximum model sizes of [3]
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.50 % (30870)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (30868)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (30868)------------------------------
% 0.20/0.51 % (30868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (30868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (30868)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (30868)Memory used [KB]: 5500
% 0.20/0.51 % (30868)Time elapsed: 0.099 s
% 0.20/0.51 % (30868)Instructions burned: 4 (million)
% 0.20/0.51 % (30868)------------------------------
% 0.20/0.51 % (30868)------------------------------
% 0.20/0.51 % (30856)Success in time 0.15 s
%------------------------------------------------------------------------------