TSTP Solution File: GRP365-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP365-1 : TPTP v8.1.0. Released v2.5.0.
% 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 16:21:26 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 51
% Syntax : Number of formulae : 199 ( 4 unt; 0 def)
% Number of atoms : 675 ( 227 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 920 ( 444 ~; 459 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f49,f58,f67,f72,f73,f78,f79,f84,f85,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f122,f203,f236,f248,f261,f325,f334,f354,f407,f411,f442,f459,f479]) ).
fof(f479,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f475,f66]) ).
fof(f66,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f475,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f468,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f463,f359]) ).
fof(f359,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_8
| ~ spl0_21 ),
inference(backward_demodulation,[],[f71,f318]) ).
fof(f318,plain,
( sk_c6 = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl0_21
<=> sk_c6 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f71,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_8
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f463,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f462,f313]) ).
fof(f313,plain,
( sk_c6 = sk_c7
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl0_20
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f462,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f461,f318]) ).
fof(f461,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f112,f318]) ).
fof(f112,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_12
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f459,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f457,f66]) ).
fof(f457,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f449,plain,
( sk_c6 != inverse(sk_c3)
| sk_c6 != sk_c6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f443,f359]) ).
fof(f443,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f115,f318]) ).
fof(f115,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f442,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f426,f360]) ).
fof(f360,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_10
| ~ spl0_21 ),
inference(backward_demodulation,[],[f83,f318]) ).
fof(f83,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f426,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f425]) ).
fof(f425,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c1)
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f414,f369]) ).
fof(f369,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_10
| ~ spl0_21 ),
inference(backward_demodulation,[],[f327,f318]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f326,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f326,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f279]) ).
fof(f279,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_10 ),
inference(superposition,[],[f2,f83]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f414,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != inverse(X4) )
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f413,f313]) ).
fof(f413,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != inverse(X4) )
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f412,f318]) ).
fof(f412,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f118,f318]) ).
fof(f118,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_14
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f411,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_11
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| spl0_11
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f409,f383]) ).
fof(f383,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f290,f359]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f278]) ).
fof(f278,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f66]) ).
fof(f409,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl0_11
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f408,f318]) ).
fof(f408,plain,
( sk_c6 != multiply(sk_c8,sk_c6)
| spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f88,f313]) ).
fof(f88,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_11
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f407,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f402,f66]) ).
fof(f402,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f397]) ).
fof(f397,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f378,f359]) ).
fof(f378,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) )
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f361,f318]) ).
fof(f361,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c6)
| sk_c8 != inverse(X7) )
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f121,f318]) ).
fof(f121,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_15
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f354,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f353,f312,f81,f51,f46,f317]) ).
fof(f46,plain,
( spl0_3
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f51,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f353,plain,
( sk_c6 = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f350,f335]) ).
fof(f335,plain,
( sk_c6 = multiply(sk_c8,sk_c2)
| ~ spl0_4
| ~ spl0_20 ),
inference(backward_demodulation,[],[f53,f313]) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f350,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f327,f48]) ).
fof(f48,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f334,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f331,f69,f64,f37,f312]) ).
fof(f37,plain,
( spl0_1
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f331,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f39,f328]) ).
fof(f328,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f290,f71]) ).
fof(f39,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f325,plain,
( ~ spl0_5
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f298,f120,f41,f55]) ).
fof(f55,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f41,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f298,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f293]) ).
fof(f293,plain,
( sk_c8 != inverse(sk_c5)
| sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f121,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f261,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f259,f157]) ).
fof(f157,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f137,f143]) ).
fof(f143,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f141,f89]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f141,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f135,f77]) ).
fof(f77,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_9
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f135,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c4,X11)) = X11
| ~ spl0_6 ),
inference(forward_demodulation,[],[f131,f1]) ).
fof(f131,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c4,X11))
| ~ spl0_6 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f137,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f134,f43]) ).
fof(f134,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c5,X12)) = X12
| ~ spl0_5 ),
inference(forward_demodulation,[],[f132,f1]) ).
fof(f132,plain,
( ! [X12] : multiply(identity,X12) = multiply(sk_c8,multiply(sk_c5,X12))
| ~ spl0_5 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f259,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f253,f193]) ).
fof(f193,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f147,f185]) ).
fof(f185,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f178,f151]) ).
fof(f151,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f124,f143]) ).
fof(f178,plain,
( ! [X12] : multiply(sk_c6,X12) = X12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f155,f177]) ).
fof(f177,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f176,f1]) ).
fof(f176,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f3,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f152,f151]) ).
fof(f152,plain,
( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c5,multiply(sk_c6,X8))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f128,f143]) ).
fof(f128,plain,
( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c5,multiply(sk_c8,X8))
| ~ spl0_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f155,plain,
( ! [X12] : multiply(sk_c6,multiply(sk_c5,X12)) = X12
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f134,f143]) ).
fof(f147,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f62,f143]) ).
fof(f253,plain,
( sk_c6 != inverse(identity)
| sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f251,f1]) ).
fof(f251,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f250,f188]) ).
fof(f188,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f149,f178]) ).
fof(f149,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f89,f143]) ).
fof(f250,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(sk_c6,multiply(X4,sk_c6)) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f249,f143]) ).
fof(f249,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c6 != inverse(X4) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f143]) ).
fof(f248,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f245,f193]) ).
fof(f245,plain,
( sk_c6 != inverse(identity)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f239]) ).
fof(f239,plain,
( sk_c6 != inverse(identity)
| sk_c6 != sk_c6
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f237,f1]) ).
fof(f237,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f143]) ).
fof(f236,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f225,f193]) ).
fof(f225,plain,
( sk_c6 != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f219]) ).
fof(f219,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f215,f1]) ).
fof(f215,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f214,f188]) ).
fof(f214,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f213,f143]) ).
fof(f213,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f143]) ).
fof(f203,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f184,f159]) ).
fof(f159,plain,
( sk_c6 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f144,f157]) ).
fof(f144,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f38,f143]) ).
fof(f38,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f184,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f178,f149]) ).
fof(f122,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f120,f37,f117,f114,f111,f87]) ).
fof(f35,plain,
! [X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| multiply(sk_c6,sk_c8) != sk_c7
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X4)
| sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c7 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,X3)
| multiply(sk_c6,sk_c8) != sk_c7
| sk_c8 != multiply(X5,sk_c6)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c6 != multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f109,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f22,f81,f41]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f108,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f87,f64]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f107,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f60,f51]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f106,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f21,f81,f60]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f105,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f55,f64]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f104,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f25,f75,f69]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f103,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f46,f87]) ).
fof(f14,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f102,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f51,f75]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f101,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f20,f81,f75]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f100,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f51,f41]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f99,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f9,f87,f51]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f98,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f19,f87,f81]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f97,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f27,f41,f69]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f96,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f8,f37,f55]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f95,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f64,f41]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f94,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f64,f75]) ).
fof(f30,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f93,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f24,f87,f69]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f92,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f46,f75]) ).
fof(f15,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f91,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f60,f37]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f90,plain,
( spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f4,f87,f37]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f85,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f60,f46]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f84,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f23,f81,f55]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f79,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f55,f69]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f78,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f5,f37,f75]) ).
fof(f5,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f73,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f46,f55]) ).
fof(f18,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f72,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f60,f69]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f67,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f64,f60]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f55,f51]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f49,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f46,f41]) ).
fof(f17,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f41,f37]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP365-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % 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 22:22:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (6972)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.48 % (6964)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)
% 0.19/0.49 % (6964)First to succeed.
% 0.19/0.50 % (6952)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (6964)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
% 0.19/0.51 % (6964)------------------------------
% 0.19/0.51 % (6964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6964)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (6964)Memory used [KB]: 5628
% 0.19/0.51 % (6964)Time elapsed: 0.099 s
% 0.19/0.51 % (6964)Instructions burned: 16 (million)
% 0.19/0.51 % (6964)------------------------------
% 0.19/0.51 % (6964)------------------------------
% 0.19/0.51 % (6942)Success in time 0.163 s
%------------------------------------------------------------------------------