TSTP Solution File: GRP133-1.003 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP133-1.003 : 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 : n021.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 16:20:31 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 156 ( 8 unt; 0 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 443 ( 208 ~; 215 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 21 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f644,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f59,f75,f88,f101,f201,f220,f224,f243,f265,f283,f285,f288,f324,f331,f340,f358,f385,f400,f425,f446,f462,f483,f484,f506,f517,f523,f543,f550,f556,f643]) ).
fof(f643,plain,
( spl0_11
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f642,f98,f43,f68]) ).
fof(f68,plain,
( spl0_11
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f43,plain,
( spl0_6
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f98,plain,
( spl0_18
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f642,plain,
( product(e_2,e_2,e_1)
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f563,f100]) ).
fof(f100,plain,
( product(e_1,e_2,e_2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f563,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_2,e_1) )
| ~ spl0_6 ),
inference(resolution,[],[f45,f14]) ).
fof(f14,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X5)
| ~ product(X0,X1,X4)
| product(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
fof(f45,plain,
( product(e_2,e_1,e_2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f556,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f545,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f545,plain,
( equalish(e_2,e_3)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f37,f466]) ).
fof(f466,plain,
( ! [X1] :
( ~ product(X1,e_1,e_1)
| equalish(X1,e_3) )
| ~ spl0_1 ),
inference(resolution,[],[f24,f13]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f24,plain,
( product(e_3,e_1,e_1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_1
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f37,plain,
( product(e_2,e_1,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_4
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f550,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f544,f90,f35,f52]) ).
fof(f52,plain,
( spl0_8
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f90,plain,
( spl0_16
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f544,plain,
( product(e_1,e_1,e_2)
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f37,f479]) ).
fof(f479,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_1,e_2) )
| ~ spl0_16 ),
inference(resolution,[],[f92,f14]) ).
fof(f92,plain,
( product(e_1,e_2,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f543,plain,
( spl0_22
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f542,f64,f119]) ).
fof(f119,plain,
( spl0_22
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f64,plain,
( spl0_10
<=> product(e_2,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f542,plain,
( product(e_3,e_3,e_2)
| ~ spl0_10 ),
inference(resolution,[],[f510,f66]) ).
fof(f66,plain,
( product(e_2,e_2,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f510,plain,
( ! [X0] :
( ~ product(e_2,e_2,X0)
| product(X0,e_3,e_2) )
| ~ spl0_10 ),
inference(resolution,[],[f66,f14]) ).
fof(f523,plain,
( spl0_23
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f522,f56,f123]) ).
fof(f123,plain,
( spl0_23
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f56,plain,
( spl0_9
<=> product(e_1,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f522,plain,
( product(e_3,e_3,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f493,f58]) ).
fof(f58,plain,
( product(e_1,e_1,e_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f493,plain,
( ! [X0] :
( ~ product(e_1,e_1,X0)
| product(X0,e_3,e_1) )
| ~ spl0_9 ),
inference(resolution,[],[f58,f14]) ).
fof(f517,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f509,f7]) ).
fof(f509,plain,
( equalish(e_2,e_3)
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f66,f402]) ).
fof(f402,plain,
( ! [X1] :
( ~ product(X1,e_2,e_3)
| equalish(X1,e_3) )
| ~ spl0_13 ),
inference(resolution,[],[f79,f13]) ).
fof(f79,plain,
( product(e_3,e_2,e_3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_13
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f506,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f499,f6]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f499,plain,
( equalish(e_2,e_1)
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f74,f490]) ).
fof(f490,plain,
( ! [X2] :
( ~ product(e_2,X2,e_2)
| equalish(X2,e_1) )
| ~ spl0_6 ),
inference(resolution,[],[f45,f12]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f74,plain,
( product(e_2,e_2,e_2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_12
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f484,plain,
( spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f472,f68,f52]) ).
fof(f472,plain,
( product(e_1,e_1,e_2)
| ~ spl0_11 ),
inference(resolution,[],[f426,f70]) ).
fof(f70,plain,
( product(e_2,e_2,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f426,plain,
( ! [X0] :
( ~ product(e_2,e_2,X0)
| product(X0,e_1,e_2) )
| ~ spl0_11 ),
inference(resolution,[],[f70,f14]) ).
fof(f483,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f477,f90,f39,f106]) ).
fof(f106,plain,
( spl0_19
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f39,plain,
( spl0_5
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f477,plain,
( product(e_1,e_3,e_1)
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f92,f333]) ).
fof(f333,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_3,e_1) )
| ~ spl0_5 ),
inference(resolution,[],[f41,f14]) ).
fof(f41,plain,
( product(e_2,e_1,e_3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f462,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl0_11
| ~ spl0_27 ),
inference(resolution,[],[f455,f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f455,plain,
( equalish(e_3,e_2)
| ~ spl0_11
| ~ spl0_27 ),
inference(resolution,[],[f142,f428]) ).
fof(f428,plain,
( ! [X2] :
( ~ product(e_2,X2,e_1)
| equalish(X2,e_2) )
| ~ spl0_11 ),
inference(resolution,[],[f70,f12]) ).
fof(f142,plain,
( product(e_2,e_3,e_1)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_27
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f446,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f441,f98,f39,f140]) ).
fof(f441,plain,
( product(e_2,e_3,e_1)
| ~ spl0_5
| ~ spl0_18 ),
inference(resolution,[],[f100,f333]) ).
fof(f425,plain,
( ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f412,f6]) ).
fof(f412,plain,
( equalish(e_2,e_1)
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f92,f362]) ).
fof(f362,plain,
( ! [X2] :
( ~ product(e_1,X2,e_1)
| equalish(X2,e_1) )
| ~ spl0_7 ),
inference(resolution,[],[f50,f12]) ).
fof(f50,plain,
( product(e_1,e_1,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_7
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f400,plain,
( ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| ~ spl0_12
| ~ spl0_18 ),
inference(resolution,[],[f397,f4]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f397,plain,
( equalish(e_1,e_2)
| ~ spl0_12
| ~ spl0_18 ),
inference(resolution,[],[f365,f100]) ).
fof(f365,plain,
( ! [X1] :
( ~ product(X1,e_2,e_2)
| equalish(X1,e_2) )
| ~ spl0_12 ),
inference(resolution,[],[f74,f13]) ).
fof(f385,plain,
( ~ spl0_15
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[],[f379,f9]) ).
fof(f379,plain,
( equalish(e_3,e_2)
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[],[f125,f246]) ).
fof(f246,plain,
( ! [X2] :
( ~ product(e_3,X2,e_1)
| equalish(X2,e_2) )
| ~ spl0_15 ),
inference(resolution,[],[f87,f12]) ).
fof(f87,plain,
( product(e_3,e_2,e_1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_15
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f125,plain,
( product(e_3,e_3,e_1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f358,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f354,f4]) ).
fof(f354,plain,
( equalish(e_1,e_2)
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f334,f58]) ).
fof(f334,plain,
( ! [X1] :
( ~ product(X1,e_1,e_3)
| equalish(X1,e_2) )
| ~ spl0_5 ),
inference(resolution,[],[f41,f13]) ).
fof(f340,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl0_5
| ~ spl0_10 ),
inference(resolution,[],[f338,f4]) ).
fof(f338,plain,
( equalish(e_1,e_2)
| ~ spl0_5
| ~ spl0_10 ),
inference(resolution,[],[f320,f41]) ).
fof(f320,plain,
( ! [X2] :
( ~ product(e_2,X2,e_3)
| equalish(X2,e_2) )
| ~ spl0_10 ),
inference(resolution,[],[f66,f12]) ).
fof(f331,plain,
( ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f317,f6]) ).
fof(f317,plain,
( equalish(e_2,e_1)
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f66,f232]) ).
fof(f232,plain,
( ! [X1] :
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1) )
| ~ spl0_17 ),
inference(resolution,[],[f96,f13]) ).
fof(f96,plain,
( product(e_1,e_2,e_3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_17
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f324,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f310,f6]) ).
fof(f310,plain,
( equalish(e_2,e_1)
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f45,f207]) ).
fof(f207,plain,
( ! [X1] :
( ~ product(X1,e_1,e_2)
| equalish(X1,e_1) )
| ~ spl0_8 ),
inference(resolution,[],[f54,f13]) ).
fof(f54,plain,
( product(e_1,e_1,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f288,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f287,f94,f39,f119]) ).
fof(f287,plain,
( product(e_3,e_3,e_2)
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f231,f41]) ).
fof(f231,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_3,e_2) )
| ~ spl0_17 ),
inference(resolution,[],[f96,f14]) ).
fof(f285,plain,
( spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f284,f52,f68]) ).
fof(f284,plain,
( product(e_2,e_2,e_1)
| ~ spl0_8 ),
inference(resolution,[],[f206,f54]) ).
fof(f206,plain,
( ! [X0] :
( ~ product(e_1,e_1,X0)
| product(X0,e_2,e_1) )
| ~ spl0_8 ),
inference(resolution,[],[f54,f14]) ).
fof(f283,plain,
( spl0_10
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f282,f119,f64]) ).
fof(f282,plain,
( product(e_2,e_2,e_3)
| ~ spl0_22 ),
inference(resolution,[],[f175,f121]) ).
fof(f121,plain,
( product(e_3,e_3,e_2)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f175,plain,
( ! [X0] :
( ~ product(e_3,e_3,X0)
| product(X0,e_2,e_3) )
| ~ spl0_22 ),
inference(resolution,[],[f121,f14]) ).
fof(f265,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f264,f94,f35,f22]) ).
fof(f264,plain,
( product(e_3,e_1,e_1)
| ~ spl0_4
| ~ spl0_17 ),
inference(resolution,[],[f149,f96]) ).
fof(f149,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_1,e_1) )
| ~ spl0_4 ),
inference(resolution,[],[f37,f14]) ).
fof(f243,plain,
( ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f237,f7]) ).
fof(f237,plain,
( equalish(e_2,e_3)
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f177,f83]) ).
fof(f83,plain,
( product(e_3,e_2,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_14
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f177,plain,
( ! [X2] :
( ~ product(e_3,X2,e_2)
| equalish(X2,e_3) )
| ~ spl0_22 ),
inference(resolution,[],[f121,f12]) ).
fof(f224,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f222,f9]) ).
fof(f222,plain,
( equalish(e_3,e_2)
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f169,f108]) ).
fof(f108,plain,
( product(e_1,e_3,e_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f169,plain,
( ! [X2] :
( ~ product(e_1,X2,e_1)
| equalish(X2,e_2) )
| ~ spl0_16 ),
inference(resolution,[],[f92,f12]) ).
fof(f220,plain,
( ~ spl0_4
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f212,f6]) ).
fof(f212,plain,
( equalish(e_2,e_1)
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f70,f151]) ).
fof(f151,plain,
( ! [X2] :
( ~ product(e_2,X2,e_1)
| equalish(X2,e_1) )
| ~ spl0_4 ),
inference(resolution,[],[f37,f12]) ).
fof(f201,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f181,f4]) ).
fof(f181,plain,
( equalish(e_1,e_2)
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f150,f50]) ).
fof(f150,plain,
( ! [X1] :
( ~ product(X1,e_1,e_1)
| equalish(X1,e_2) )
| ~ spl0_4 ),
inference(resolution,[],[f37,f13]) ).
fof(f101,plain,
( spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f98,f94,f90]) ).
fof(f60,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f16,plain,
! [X1] :
( ~ group_element(X1)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1) ),
inference(resolution,[],[f10,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f10,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f88,plain,
( spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f62,f85,f81,f77]) ).
fof(f62,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f75,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f61,f72,f68,f64]) ).
fof(f61,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3) ),
inference(resolution,[],[f16,f2]) ).
fof(f59,plain,
( spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f18,f56,f52,f48]) ).
fof(f18,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f15,f1]) ).
fof(f15,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f10,f1]) ).
fof(f46,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f43,f39,f35]) ).
fof(f19,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f15,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP133-1.003 : 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
% 0.12/0.33 % Computer : n021.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 22:12:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (2448)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 % (2456)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.49 % (2438)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)
% 0.19/0.50 % (2437)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (2434)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (2449)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)
% 0.19/0.51 % (2441)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)
% 0.19/0.51 % (2440)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (2433)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)
% 0.19/0.51 % (2430)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2431)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 Detected maximum model sizes of [3]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (2456)First to succeed.
% 0.19/0.51 % (2455)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (2428)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (2447)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (2428)Refutation not found, incomplete strategy% (2428)------------------------------
% 0.19/0.52 % (2428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2428)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (2428)Memory used [KB]: 5373
% 0.19/0.52 % (2428)Time elapsed: 0.128 s
% 0.19/0.52 % (2428)Instructions burned: 2 (million)
% 0.19/0.52 % (2428)------------------------------
% 0.19/0.52 % (2428)------------------------------
% 0.19/0.52 % (2427)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 Detected maximum model sizes of [3]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (2435)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (2435)Instruction limit reached!
% 0.19/0.52 % (2435)------------------------------
% 0.19/0.52 % (2435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2435)Termination reason: Unknown
% 0.19/0.52 % (2435)Termination phase: Blocked clause elimination
% 0.19/0.52
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (2435)Memory used [KB]: 895
% 0.19/0.52 % (2435)Time elapsed: 0.003 s
% 0.19/0.52 % (2435)Instructions burned: 2 (million)
% 0.19/0.52 % (2435)------------------------------
% 0.19/0.52 % (2435)------------------------------
% 0.19/0.52 % (2433)Also succeeded, but the first one will report.
% 0.19/0.52 % (2456)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (2456)------------------------------
% 0.19/0.52 % (2456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2456)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (2456)Memory used [KB]: 5628
% 0.19/0.52 % (2456)Time elapsed: 0.114 s
% 0.19/0.52 % (2456)Instructions burned: 17 (million)
% 0.19/0.52 % (2456)------------------------------
% 0.19/0.52 % (2456)------------------------------
% 0.19/0.52 % (2426)Success in time 0.179 s
%------------------------------------------------------------------------------