TSTP Solution File: GRP250-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP250-1 : 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 : n023.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 16:21:02 EDT 2022
% Result : Unsatisfiable 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 47
% Syntax : Number of formulae : 197 ( 7 unt; 0 def)
% Number of atoms : 576 ( 217 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 742 ( 363 ~; 347 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f606,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f99,f105,f111,f119,f129,f134,f137,f138,f154,f155,f167,f168,f169,f170,f171,f172,f199,f206,f215,f244,f249,f251,f258,f340,f365,f395,f441,f448,f472,f478,f481,f527,f529,f588,f604]) ).
fof(f604,plain,
( ~ spl5_1
| ~ spl5_6
| spl5_23 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| ~ spl5_1
| ~ spl5_6
| spl5_23 ),
inference(subsumption_resolution,[],[f597,f187]) ).
fof(f187,plain,
( identity != sk_c8
| spl5_23 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl5_23
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f597,plain,
( identity = sk_c8
| ~ spl5_1
| ~ spl5_6 ),
inference(superposition,[],[f511,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f511,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl5_1
| ~ spl5_6 ),
inference(superposition,[],[f274,f446]) ).
fof(f446,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl5_1
| ~ spl5_6 ),
inference(forward_demodulation,[],[f443,f77]) ).
fof(f77,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl5_6
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f443,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl5_1 ),
inference(superposition,[],[f274,f54]) ).
fof(f54,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl5_1
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f274,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f262,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f262,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f588,plain,
( ~ spl5_3
| ~ spl5_12
| spl5_27
| ~ spl5_30 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl5_3
| ~ spl5_12
| spl5_27
| ~ spl5_30 ),
inference(subsumption_resolution,[],[f586,f223]) ).
fof(f223,plain,
( identity != sk_c7
| spl5_27 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl5_27
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f586,plain,
( identity = sk_c7
| ~ spl5_3
| ~ spl5_12
| ~ spl5_30 ),
inference(forward_demodulation,[],[f584,f63]) ).
fof(f63,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl5_3
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f584,plain,
( identity = multiply(sk_c2,sk_c8)
| ~ spl5_12
| ~ spl5_30 ),
inference(superposition,[],[f2,f579]) ).
fof(f579,plain,
( sk_c2 = inverse(sk_c8)
| ~ spl5_12
| ~ spl5_30 ),
inference(forward_demodulation,[],[f577,f504]) ).
fof(f504,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl5_12 ),
inference(superposition,[],[f274,f175]) ).
fof(f175,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl5_12 ),
inference(superposition,[],[f2,f103]) ).
fof(f103,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl5_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f577,plain,
( multiply(inverse(sk_c8),identity) = inverse(sk_c8)
| ~ spl5_30 ),
inference(superposition,[],[f274,f538]) ).
fof(f538,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl5_30 ),
inference(superposition,[],[f2,f242]) ).
fof(f242,plain,
( sk_c8 = inverse(inverse(sk_c8))
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl5_30
<=> sk_c8 = inverse(inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f529,plain,
( ~ spl5_5
| ~ spl5_8
| spl5_28
| ~ spl5_31 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl5_5
| ~ spl5_8
| spl5_28
| ~ spl5_31 ),
inference(subsumption_resolution,[],[f517,f228]) ).
fof(f228,plain,
( sk_c8 != sk_c7
| spl5_28 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl5_28
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f517,plain,
( sk_c8 = sk_c7
| ~ spl5_5
| ~ spl5_8
| ~ spl5_31 ),
inference(backward_demodulation,[],[f494,f497]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl5_31 ),
inference(forward_demodulation,[],[f495,f247]) ).
fof(f247,plain,
( sk_c8 = inverse(identity)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl5_31
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f495,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f274,f1]) ).
fof(f494,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl5_5
| ~ spl5_8 ),
inference(forward_demodulation,[],[f492,f86]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl5_8
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f492,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl5_5 ),
inference(superposition,[],[f274,f72]) ).
fof(f72,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl5_5
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f527,plain,
( ~ spl5_3
| ~ spl5_12
| spl5_28
| ~ spl5_31 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl5_3
| ~ spl5_12
| spl5_28
| ~ spl5_31 ),
inference(subsumption_resolution,[],[f520,f228]) ).
fof(f520,plain,
( sk_c8 = sk_c7
| ~ spl5_3
| ~ spl5_12
| ~ spl5_31 ),
inference(superposition,[],[f497,f491]) ).
fof(f491,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl5_3
| ~ spl5_12 ),
inference(forward_demodulation,[],[f489,f103]) ).
fof(f489,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl5_3 ),
inference(superposition,[],[f274,f63]) ).
fof(f481,plain,
( ~ spl5_28
| ~ spl5_8
| ~ spl5_14
| ~ spl5_23
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f480,f226,f185,f113,f84,f226]) ).
fof(f113,plain,
( spl5_14
<=> ! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f480,plain,
( sk_c8 != sk_c7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_23
| ~ spl5_28 ),
inference(forward_demodulation,[],[f479,f434]) ).
fof(f434,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl5_8
| ~ spl5_23 ),
inference(forward_demodulation,[],[f86,f403]) ).
fof(f403,plain,
( sk_c8 = sk_c3
| ~ spl5_8
| ~ spl5_23 ),
inference(forward_demodulation,[],[f402,f186]) ).
fof(f186,plain,
( identity = sk_c8
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f402,plain,
( identity = sk_c3
| ~ spl5_8
| ~ spl5_23 ),
inference(forward_demodulation,[],[f174,f341]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl5_23 ),
inference(backward_demodulation,[],[f1,f186]) ).
fof(f174,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl5_8 ),
inference(superposition,[],[f2,f86]) ).
fof(f479,plain,
( sk_c7 != inverse(sk_c8)
| ~ spl5_14
| ~ spl5_23
| ~ spl5_28 ),
inference(forward_demodulation,[],[f413,f186]) ).
fof(f413,plain,
( sk_c7 != inverse(identity)
| ~ spl5_14
| ~ spl5_28 ),
inference(subsumption_resolution,[],[f207,f227]) ).
fof(f227,plain,
( sk_c8 = sk_c7
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f207,plain,
( sk_c7 != inverse(identity)
| sk_c8 != sk_c7
| ~ spl5_14 ),
inference(superposition,[],[f114,f1]) ).
fof(f114,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) )
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f478,plain,
( ~ spl5_8
| ~ spl5_23
| ~ spl5_28
| spl5_32 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl5_8
| ~ spl5_23
| ~ spl5_28
| spl5_32 ),
inference(subsumption_resolution,[],[f476,f434]) ).
fof(f476,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl5_8
| ~ spl5_23
| ~ spl5_28
| spl5_32 ),
inference(forward_demodulation,[],[f384,f434]) ).
fof(f384,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl5_28
| spl5_32 ),
inference(forward_demodulation,[],[f257,f227]) ).
fof(f257,plain,
( sk_c8 != inverse(inverse(sk_c7))
| spl5_32 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl5_32
<=> sk_c8 = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f472,plain,
( spl5_28
| ~ spl5_3
| ~ spl5_12
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f455,f185,f101,f61,f226]) ).
fof(f455,plain,
( sk_c8 = sk_c7
| ~ spl5_3
| ~ spl5_12
| ~ spl5_23 ),
inference(forward_demodulation,[],[f454,f341]) ).
fof(f454,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl5_3
| ~ spl5_12
| ~ spl5_23 ),
inference(forward_demodulation,[],[f63,f401]) ).
fof(f401,plain,
( sk_c8 = sk_c2
| ~ spl5_12
| ~ spl5_23 ),
inference(forward_demodulation,[],[f400,f186]) ).
fof(f400,plain,
( identity = sk_c2
| ~ spl5_12
| ~ spl5_23 ),
inference(forward_demodulation,[],[f175,f341]) ).
fof(f448,plain,
( ~ spl5_8
| ~ spl5_23
| spl5_31 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl5_8
| ~ spl5_23
| spl5_31 ),
inference(subsumption_resolution,[],[f364,f434]) ).
fof(f364,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl5_23
| spl5_31 ),
inference(forward_demodulation,[],[f248,f186]) ).
fof(f248,plain,
( sk_c8 != inverse(identity)
| spl5_31 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f441,plain,
( ~ spl5_8
| ~ spl5_23
| spl5_30 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f440,plain,
( $false
| ~ spl5_8
| ~ spl5_23
| spl5_30 ),
inference(subsumption_resolution,[],[f437,f434]) ).
fof(f437,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl5_8
| ~ spl5_23
| spl5_30 ),
inference(backward_demodulation,[],[f243,f434]) ).
fof(f243,plain,
( sk_c8 != inverse(inverse(sk_c8))
| spl5_30 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f395,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_19
| ~ spl5_23 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| ~ spl5_19
| ~ spl5_23 ),
inference(subsumption_resolution,[],[f393,f291]) ).
fof(f291,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl5_2
| ~ spl5_4
| ~ spl5_19 ),
inference(trivial_inequality_removal,[],[f289]) ).
fof(f289,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl5_2
| ~ spl5_4
| ~ spl5_19 ),
inference(superposition,[],[f158,f286]) ).
fof(f286,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl5_2
| ~ spl5_4 ),
inference(superposition,[],[f275,f58]) ).
fof(f58,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl5_2
<=> multiply(sk_c5,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f275,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c5,X9)) = X9
| ~ spl5_4 ),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f264,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c5,X9)) = multiply(identity,X9)
| ~ spl5_4 ),
inference(superposition,[],[f3,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl5_4 ),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl5_4
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f158,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl5_19
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f393,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl5_4
| ~ spl5_23 ),
inference(backward_demodulation,[],[f68,f385]) ).
fof(f385,plain,
( sk_c8 = sk_c5
| ~ spl5_4
| ~ spl5_23 ),
inference(superposition,[],[f343,f341]) ).
fof(f343,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl5_4
| ~ spl5_23 ),
inference(backward_demodulation,[],[f200,f186]) ).
fof(f365,plain,
( spl5_28
| ~ spl5_2
| ~ spl5_4
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f350,f185,f66,f56,f226]) ).
fof(f350,plain,
( sk_c8 = sk_c7
| ~ spl5_2
| ~ spl5_4
| ~ spl5_23 ),
inference(superposition,[],[f341,f286]) ).
fof(f340,plain,
( spl5_23
| ~ spl5_7
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f331,f88,f79,f185]) ).
fof(f79,plain,
( spl5_7
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f88,plain,
( spl5_9
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f331,plain,
( identity = sk_c8
| ~ spl5_7
| ~ spl5_9 ),
inference(superposition,[],[f2,f301]) ).
fof(f301,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl5_7
| ~ spl5_9 ),
inference(superposition,[],[f274,f282]) ).
fof(f282,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl5_7
| ~ spl5_9 ),
inference(superposition,[],[f273,f81]) ).
fof(f81,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f273,plain,
( ! [X8] : multiply(sk_c9,multiply(sk_c4,X8)) = X8
| ~ spl5_9 ),
inference(forward_demodulation,[],[f263,f1]) ).
fof(f263,plain,
( ! [X8] : multiply(sk_c9,multiply(sk_c4,X8)) = multiply(identity,X8)
| ~ spl5_9 ),
inference(superposition,[],[f3,f201]) ).
fof(f201,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl5_9 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f258,plain,
( ~ spl5_32
| ~ spl5_23
| ~ spl5_19 ),
inference(avatar_split_clause,[],[f253,f157,f185,f255]) ).
fof(f253,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c7))
| ~ spl5_19 ),
inference(superposition,[],[f158,f2]) ).
fof(f251,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_18 ),
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f250,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| ~ spl5_18 ),
inference(subsumption_resolution,[],[f238,f68]) ).
fof(f238,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl5_2
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f236,plain,
( sk_c8 != inverse(sk_c5)
| sk_c7 != sk_c7
| ~ spl5_2
| ~ spl5_18 ),
inference(superposition,[],[f153,f58]) ).
fof(f153,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl5_18
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f249,plain,
( ~ spl5_28
| ~ spl5_31
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f234,f152,f246,f226]) ).
fof(f234,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c7
| ~ spl5_18 ),
inference(superposition,[],[f153,f1]) ).
fof(f244,plain,
( ~ spl5_27
| ~ spl5_30
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f235,f152,f241,f221]) ).
fof(f235,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != sk_c7
| ~ spl5_18 ),
inference(superposition,[],[f153,f2]) ).
fof(f215,plain,
( ~ spl5_13
| ~ spl5_14
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| ~ spl5_13
| ~ spl5_14
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f211,f110]) ).
fof(f110,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl5_13
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f211,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl5_14
| ~ spl5_16 ),
inference(trivial_inequality_removal,[],[f210]) ).
fof(f210,plain,
( sk_c7 != inverse(sk_c6)
| sk_c7 != sk_c7
| ~ spl5_14
| ~ spl5_16 ),
inference(superposition,[],[f114,f126]) ).
fof(f126,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl5_16
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f206,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_11 ),
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| ~ spl5_7
| ~ spl5_9
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f204,f90]) ).
fof(f204,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl5_7
| ~ spl5_11 ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( sk_c9 != inverse(sk_c4)
| sk_c8 != sk_c8
| ~ spl5_7
| ~ spl5_11 ),
inference(superposition,[],[f98,f81]) ).
fof(f98,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl5_11
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f199,plain,
( ~ spl5_1
| ~ spl5_6
| ~ spl5_11 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl5_1
| ~ spl5_6
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f179,f77]) ).
fof(f179,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl5_1
| ~ spl5_11 ),
inference(trivial_inequality_removal,[],[f178]) ).
fof(f178,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl5_1
| ~ spl5_11 ),
inference(superposition,[],[f98,f54]) ).
fof(f172,plain,
( spl5_21
| spl5_18 ),
inference(avatar_split_clause,[],[f47,f152,f164]) ).
fof(f164,plain,
( spl5_21
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f47,plain,
! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sP3
| sk_c8 != inverse(X7) ),
inference(cnf_transformation,[],[f47_D]) ).
fof(f47_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f171,plain,
( spl5_20
| spl5_11 ),
inference(avatar_split_clause,[],[f41,f97,f160]) ).
fof(f160,plain,
( spl5_20
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f41,plain,
! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f170,plain,
( spl5_2
| spl5_8 ),
inference(avatar_split_clause,[],[f30,f84,f56]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f169,plain,
( spl5_5
| spl5_2 ),
inference(avatar_split_clause,[],[f36,f56,f70]) ).
fof(f36,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f168,plain,
( spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f19,f66,f61]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f167,plain,
( ~ spl5_15
| spl5_19
| ~ spl5_20
| ~ spl5_10
| ~ spl5_21
| ~ spl5_17 ),
inference(avatar_split_clause,[],[f50,f148,f164,f93,f160,f157,f116]) ).
fof(f116,plain,
( spl5_15
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f93,plain,
( spl5_10
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f148,plain,
( spl5_17
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f50,plain,
! [X5] :
( ~ sP4
| ~ sP3
| ~ sP2
| ~ sP0
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| ~ sP1 ),
inference(general_splitting,[],[f48,f49_D]) ).
fof(f49,plain,
! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sP4 ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f48,plain,
! [X4,X5] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,sk_c7)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X5)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f46,f47_D]) ).
fof(f46,plain,
! [X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X5)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f44,f45_D]) ).
fof(f45,plain,
! [X6] :
( sk_c9 != inverse(X6)
| sP2
| sk_c8 != multiply(X6,sk_c9) ),
inference(cnf_transformation,[],[f45_D]) ).
fof(f45_D,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f44,plain,
! [X6,X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f42,f43_D]) ).
fof(f43,plain,
! [X8] :
( sP1
| sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f42,plain,
! [X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X8)
| sk_c7 != multiply(X8,sk_c8)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f40,f41_D]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X8)
| sk_c7 != multiply(X8,sk_c8)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f155,plain,
( spl5_16
| spl5_8 ),
inference(avatar_split_clause,[],[f33,f84,f124]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f154,plain,
( spl5_17
| spl5_18 ),
inference(avatar_split_clause,[],[f49,f152,f148]) ).
fof(f138,plain,
( spl5_8
| spl5_4 ),
inference(avatar_split_clause,[],[f31,f66,f84]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f137,plain,
( spl5_4
| spl5_12 ),
inference(avatar_split_clause,[],[f25,f101,f66]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f134,plain,
( spl5_1
| spl5_7 ),
inference(avatar_split_clause,[],[f4,f79,f52]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f129,plain,
( spl5_9
| spl5_6 ),
inference(avatar_split_clause,[],[f11,f75,f88]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f119,plain,
( spl5_14
| spl5_15 ),
inference(avatar_split_clause,[],[f43,f116,f113]) ).
fof(f111,plain,
( spl5_13
| spl5_8 ),
inference(avatar_split_clause,[],[f32,f84,f108]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f105,plain,
( spl5_1
| spl5_9 ),
inference(avatar_split_clause,[],[f5,f88,f52]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f99,plain,
( spl5_10
| spl5_11 ),
inference(avatar_split_clause,[],[f45,f97,f93]) ).
fof(f82,plain,
( spl5_6
| spl5_7 ),
inference(avatar_split_clause,[],[f10,f79,f75]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP250-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 22:43:35 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.46 % (26287)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.49 % (26295)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.50 % (26300)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.51 % (26308)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)
% 0.17/0.51 % (26287)First to succeed.
% 0.17/0.53 % (26287)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (26287)------------------------------
% 0.17/0.53 % (26287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (26287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (26287)Termination reason: Refutation
% 0.17/0.53
% 0.17/0.53 % (26287)Memory used [KB]: 5756
% 0.17/0.53 % (26287)Time elapsed: 0.143 s
% 0.17/0.53 % (26287)Instructions burned: 20 (million)
% 0.17/0.53 % (26287)------------------------------
% 0.17/0.53 % (26287)------------------------------
% 0.17/0.53 % (26281)Success in time 0.202 s
%------------------------------------------------------------------------------