TSTP Solution File: GRP131-2.002 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n019.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 16:20:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 4 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 204 ( 105 ~; 91 |; 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f45,f57,f66,f70,f81,f82,f87,f97,f109,f118,f132]) ).
fof(f132,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f126,f56]) ).
fof(f56,plain,
( product(e_2,e_2,e_2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_6
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f126,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f61,f119]) ).
fof(f119,plain,
( ! [X0] :
( ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) )
| ~ spl0_1
| ~ spl0_6 ),
inference(resolution,[],[f31,f113]) ).
fof(f113,plain,
( ! [X2,X1] :
( ~ product(e_1,X2,e_2)
| ~ product(X1,e_2,e_2)
| ~ product(X1,X2,e_1) )
| ~ spl0_6 ),
inference(resolution,[],[f56,f18]) ).
fof(f18,plain,
! [X10,X11,X12,X13] :
( ~ product(e_2,X12,X13)
| ~ product(X10,X12,e_2)
| ~ product(e_1,X11,X13)
| ~ product(X10,X11,e_1) ),
inference(resolution,[],[f6,f12]) ).
fof(f12,axiom,
! [X2,X8,X6,X9,X7,X5] :
( equalish(X2,X7)
| ~ product(X9,X5,X2)
| ~ product(X9,X8,X7)
| ~ product(X2,X5,X6)
| ~ product(X7,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f31,plain,
( product(e_1,e_1,e_2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_1
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f61,plain,
( product(e_2,e_1,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_7
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f118,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f112,f54,f42]) ).
fof(f42,plain,
( spl0_4
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f112,plain,
( ~ product(e_1,e_2,e_2)
| ~ spl0_6 ),
inference(resolution,[],[f56,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f6,f11]) ).
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(f109,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f108,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f107,f35]) ).
fof(f35,plain,
( product(e_1,e_1,e_1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f107,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f102,f35]) ).
fof(f102,plain,
( ! [X0] :
( ~ product(e_1,e_1,X0)
| ~ product(X0,e_1,e_1) )
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f52,f101]) ).
fof(f101,plain,
( ! [X0,X1] :
( ~ product(e_2,e_2,X0)
| ~ product(X1,e_1,X0)
| ~ product(e_1,e_1,X1) )
| ~ spl0_4 ),
inference(resolution,[],[f44,f17]) ).
fof(f17,plain,
! [X8,X6,X9,X7] :
( ~ product(X8,e_2,X6)
| ~ product(X6,e_2,X7)
| ~ product(X8,e_1,X9)
| ~ product(X9,e_1,X7) ),
inference(resolution,[],[f6,f13]) ).
fof(f13,axiom,
! [X2,X8,X6,X9,X7,X5] :
( equalish(X5,X8)
| ~ product(X7,X8,X6)
| ~ product(X9,X8,X7)
| ~ product(X9,X5,X2)
| ~ product(X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
fof(f44,plain,
( product(e_1,e_2,e_2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f52,plain,
( product(e_2,e_2,e_1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_5
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f97,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f94,f65]) ).
fof(f65,plain,
( product(e_2,e_1,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_8
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f94,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl0_6 ),
inference(resolution,[],[f56,f15]) ).
fof(f15,plain,
! [X2,X3] :
( ~ product(X2,e_2,X3)
| ~ product(X2,e_1,X3) ),
inference(resolution,[],[f6,f10]) ).
fof(f10,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X0,X4,X1)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f87,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f84,f31]) ).
fof(f84,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl0_4 ),
inference(resolution,[],[f44,f15]) ).
fof(f82,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f76,f50,f59]) ).
fof(f76,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl0_5 ),
inference(resolution,[],[f52,f15]) ).
fof(f81,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f74,f40]) ).
fof(f40,plain,
( product(e_1,e_2,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_3
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f74,plain,
( ~ product(e_1,e_2,e_1)
| ~ spl0_5 ),
inference(resolution,[],[f52,f14]) ).
fof(f70,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f67,f35]) ).
fof(f67,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f40,f15]) ).
fof(f66,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f63,f59]) ).
fof(f47,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f25,f4]) ).
fof(f4,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f25,plain,
! [X1] :
( ~ group_element(X1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_1) ),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f8,axiom,
! [X0,X1] :
( ~ group_element(X0)
| product(X0,X1,e_2)
| ~ group_element(X1)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f57,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f54,f50]) ).
fof(f48,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[],[f25,f5]) ).
fof(f45,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f42,f38]) ).
fof(f27,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f24,f5]) ).
fof(f24,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,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_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[],[f24,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:18:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.48 % (6635)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)
% 0.19/0.48 % (6643)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)
% 0.19/0.49 % (6643)First to succeed.
% 0.19/0.50 % (6643)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (6643)------------------------------
% 0.19/0.50 % (6643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (6643)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (6643)Memory used [KB]: 5373
% 0.19/0.50 % (6643)Time elapsed: 0.080 s
% 0.19/0.50 % (6643)Instructions burned: 4 (million)
% 0.19/0.50 % (6643)------------------------------
% 0.19/0.50 % (6643)------------------------------
% 0.19/0.50 % (6619)Success in time 0.146 s
%------------------------------------------------------------------------------