TSTP Solution File: GRP210-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP210-1 : 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_uns --cores 0 -t %d %s
% Computer : n029.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 16:14:52 EDT 2022
% Result : Unsatisfiable 1.50s 0.57s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 59
% Syntax : Number of formulae : 231 ( 4 unt; 0 def)
% Number of atoms : 772 ( 278 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1043 ( 502 ~; 521 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f686,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f65,f70,f75,f84,f85,f86,f87,f97,f103,f104,f105,f106,f112,f113,f118,f119,f120,f121,f122,f123,f124,f125,f138,f139,f140,f141,f144,f145,f146,f147,f148,f149,f150,f151,f152,f173,f206,f216,f257,f334,f377,f414,f440,f584,f597,f630,f638,f685]) ).
fof(f685,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f684,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f683]) ).
fof(f683,plain,
( sk_c10 != sk_c10
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f672,f384]) ).
fof(f384,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f167,f158]) ).
fof(f158,plain,
( sk_c10 = sk_c9
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_18
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f167,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl0_20
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f672,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f669,f598]) ).
fof(f598,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f171,f158]) ).
fof(f171,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl0_21
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f669,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f666]) ).
fof(f666,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| sk_c10 != sk_c10
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f640,f74]) ).
fof(f74,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_6
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f640,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f137,f158]) ).
fof(f137,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl0_17
<=> ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f638,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_10
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f635,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f635,plain,
( sk_c10 != multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f634,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f633,f528]) ).
fof(f528,plain,
( sk_c10 = inverse(identity)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_18 ),
inference(backward_demodulation,[],[f96,f513]) ).
fof(f513,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f505,f337]) ).
fof(f337,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f2,f96]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_10
| ~ spl0_18 ),
inference(backward_demodulation,[],[f355,f488]) ).
fof(f488,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f390,f355]) ).
fof(f390,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_18 ),
inference(superposition,[],[f3,f378]) ).
fof(f378,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_18 ),
inference(backward_demodulation,[],[f51,f158]) ).
fof(f51,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
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(f355,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f354,f1]) ).
fof(f354,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f337]) ).
fof(f96,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_10
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f633,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c10) )
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f131,f158]) ).
fof(f131,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl0_15
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f630,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f628]) ).
fof(f628,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f626,f505]) ).
fof(f626,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f625]) ).
fof(f625,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f623,f1]) ).
fof(f623,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f600,f528]) ).
fof(f600,plain,
( ! [X7] :
( sk_c10 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X7,inverse(X7)) )
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f599,f158]) ).
fof(f599,plain,
( ! [X7] :
( sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(inverse(X7),sk_c10) )
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f128,f158]) ).
fof(f128,plain,
( ! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl0_14
<=> ! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f597,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f596,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f595]) ).
fof(f595,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f591,f1]) ).
fof(f591,plain,
( sk_c10 != multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f590,f517]) ).
fof(f517,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f505,f175]) ).
fof(f175,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f74]) ).
fof(f590,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f90,f158]) ).
fof(f90,plain,
( sk_c10 != multiply(sk_c3,sk_c9)
| spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_9
<=> sk_c10 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f584,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f580,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f578,f505]) ).
fof(f578,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f577,f1]) ).
fof(f577,plain,
( sk_c10 != multiply(sk_c10,multiply(identity,sk_c10))
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f576]) ).
fof(f576,plain,
( sk_c10 != multiply(sk_c10,multiply(identity,sk_c10))
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f441,f528]) ).
fof(f441,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f137,f158]) ).
fof(f440,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f438]) ).
fof(f438,plain,
( sk_c10 != sk_c10
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f434,f381]) ).
fof(f381,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl0_9
| ~ spl0_18 ),
inference(backward_demodulation,[],[f91,f158]) ).
fof(f91,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f434,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f433,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f415,f74]) ).
fof(f415,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c10) )
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f131,f158]) ).
fof(f414,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f412,plain,
( sk_c10 != sk_c10
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f405,f382]) ).
fof(f382,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f117,f158]) ).
fof(f117,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_13
<=> sk_c9 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f405,plain,
( sk_c10 != multiply(sk_c6,sk_c10)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f404]) ).
fof(f404,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c6,sk_c10)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f400,f380]) ).
fof(f380,plain,
( sk_c10 = multiply(sk_c5,sk_c6)
| ~ spl0_8
| ~ spl0_18 ),
inference(backward_demodulation,[],[f83,f158]) ).
fof(f83,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f400,plain,
( sk_c10 != multiply(sk_c6,sk_c10)
| sk_c10 != multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f398,f69]) ).
fof(f69,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f398,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f134,f158]) ).
fof(f134,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_16
<=> ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f377,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f375,f109,f99,f58,f157]) ).
fof(f58,plain,
( spl0_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f99,plain,
( spl0_11
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f109,plain,
( spl0_12
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f375,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f60,f372]) ).
fof(f372,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f357,f111]) ).
fof(f111,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f356,f1]) ).
fof(f356,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f338]) ).
fof(f338,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f2,f101]) ).
fof(f101,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f60,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f334,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f330,plain,
( sk_c2 != sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f328,f277]) ).
fof(f277,plain,
( ! [X10] : multiply(sk_c2,X10) = X10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(backward_demodulation,[],[f196,f264]) ).
fof(f264,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f263,f1]) ).
fof(f263,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f3,f261]) ).
fof(f261,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f260,f174]) ).
fof(f174,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_4 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_4
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f260,plain,
( multiply(sk_c1,identity) = multiply(sk_c2,sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f209,f227]) ).
fof(f227,plain,
( sk_c2 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f220,f199]) ).
fof(f199,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f196,f55]) ).
fof(f55,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> multiply(sk_c1,sk_c2) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f220,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_7
| ~ spl0_18 ),
inference(backward_demodulation,[],[f79,f158]) ).
fof(f79,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_7
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f209,plain,
( multiply(sk_c10,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f189,f174]) ).
fof(f189,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c2,X8)) = multiply(sk_c10,X8)
| ~ spl0_2 ),
inference(superposition,[],[f3,f55]) ).
fof(f196,plain,
( ! [X10] : multiply(sk_c2,multiply(sk_c1,X10)) = X10
| ~ spl0_4 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f191,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c2,multiply(sk_c1,X10))
| ~ spl0_4 ),
inference(superposition,[],[f3,f174]) ).
fof(f328,plain,
( sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f327,plain,
( sk_c2 != sk_c2
| sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f325,f1]) ).
fof(f325,plain,
( sk_c2 != multiply(identity,sk_c2)
| sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f276,f288]) ).
fof(f288,plain,
( sk_c2 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(backward_demodulation,[],[f64,f279]) ).
fof(f279,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f277,f174]) ).
fof(f276,plain,
( ! [X3] :
( sk_c2 != multiply(inverse(X3),sk_c2)
| sk_c2 != multiply(X3,inverse(X3)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f275,f227]) ).
fof(f275,plain,
( ! [X3] :
( sk_c2 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c2) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f274,f227]) ).
fof(f274,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c2) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f134,f230]) ).
fof(f230,plain,
( sk_c2 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(backward_demodulation,[],[f158,f227]) ).
fof(f257,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18
| spl0_21 ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( sk_c2 != sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18
| spl0_21 ),
inference(superposition,[],[f251,f246]) ).
fof(f246,plain,
( sk_c2 = multiply(sk_c3,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f221,f227]) ).
fof(f221,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl0_9
| ~ spl0_18 ),
inference(backward_demodulation,[],[f91,f158]) ).
fof(f251,plain,
( sk_c2 != multiply(sk_c3,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18
| spl0_21 ),
inference(forward_demodulation,[],[f224,f227]) ).
fof(f224,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_18
| spl0_21 ),
inference(backward_demodulation,[],[f172,f158]) ).
fof(f172,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| spl0_21 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f216,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f215,f166,f62,f53,f157]) ).
fof(f215,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f214,f55]) ).
fof(f214,plain,
( multiply(sk_c1,sk_c2) = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f210,f167]) ).
fof(f210,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f189,f199]) ).
fof(f206,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f203,f89,f72,f166]) ).
fof(f203,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f197,f91]) ).
fof(f197,plain,
( ! [X11] : multiply(sk_c10,multiply(sk_c3,X11)) = X11
| ~ spl0_6 ),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f192,plain,
( ! [X11] : multiply(sk_c10,multiply(sk_c3,X11)) = multiply(identity,X11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f175]) ).
fof(f173,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f154,f127,f72,f170,f166]) ).
fof(f154,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f128,f74]) ).
fof(f152,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f36,f94,f89]) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f151,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f18,f109,f62]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f150,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f37,f49,f89]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f149,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f53,f115]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c9 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f148,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f53,f109]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f147,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f77]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f146,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f77,f49]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f145,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f67,f62]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f144,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f72,f115]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f141,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f29,f49,f72]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f140,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f4,f94,f53]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f139,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f35,f72,f99]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f138,plain,
( spl0_14
| spl0_15
| spl0_15
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f47,f136,f133,f130,f130,f127]) ).
fof(f47,plain,
! [X3,X10,X6,X7,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5)
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,inverse(X7))
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(inverse(X3),sk_c9) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X10,X6,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X3,X4)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X3) != X4
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,inverse(X7)) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X3,X4)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| inverse(X7) != X8
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X3) != X4
| sk_c9 != multiply(X8,sk_c10)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,X8) ),
inference(equality_resolution,[],[f44]) ).
fof(f44,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X3,X4)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,X9)
| multiply(X10,sk_c10) != X9
| inverse(X7) != X8
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X3) != X4
| sk_c9 != multiply(X8,sk_c10)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f125,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f9,f58,f53]) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f124,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f16,f115,f62]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f123,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f62,f94]) ).
fof(f12,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f122,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f72,f81]) ).
fof(f30,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f121,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f43,f89,f99]) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f120,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f109,f72]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f119,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f41,f58,f89]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f118,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f40,f89,f115]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f113,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f53,f99]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f112,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f42,f89,f109]) ).
fof(f42,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f106,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f62,f99]) ).
fof(f19,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f105,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f53,f81]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f104,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f67,f77]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f103,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f94,f72]) ).
fof(f28,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f97,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f20,f77,f94]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f87,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f49,f62]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f86,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f62,f81]) ).
fof(f14,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f85,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f33,f72,f58]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f84,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f22,f81,f77]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f75,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f31,f72,f67]) ).
fof(f31,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f70,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f53,f67]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f65,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f62,f58]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f53,f49]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP210-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.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 22:30:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.52 % (32434)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.52 % (32439)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52 % (32442)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (32442)Instruction limit reached!
% 0.21/0.53 % (32442)------------------------------
% 0.21/0.53 % (32442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32442)Termination reason: Unknown
% 0.21/0.53 % (32442)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (32442)Memory used [KB]: 1279
% 0.21/0.53 % (32442)Time elapsed: 0.002 s
% 0.21/0.53 % (32442)Instructions burned: 3 (million)
% 0.21/0.53 % (32442)------------------------------
% 0.21/0.53 % (32442)------------------------------
% 0.21/0.53 % (32437)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (32443)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (32438)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.53 % (32467)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (32450)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.42/0.53 % (32458)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.42/0.53 % (32457)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.42/0.53 % (32440)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.42/0.53 % (32463)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.42/0.53 % (32450)Instruction limit reached!
% 1.42/0.53 % (32450)------------------------------
% 1.42/0.53 % (32450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (32450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (32451)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.53 % (32450)Termination reason: Unknown
% 1.42/0.53 % (32450)Termination phase: Finite model building preprocessing
% 1.42/0.53
% 1.42/0.53 % (32450)Memory used [KB]: 1407
% 1.42/0.53 % (32450)Time elapsed: 0.008 s
% 1.42/0.53 % (32450)Instructions burned: 6 (million)
% 1.42/0.53 % (32450)------------------------------
% 1.42/0.53 % (32450)------------------------------
% 1.42/0.54 % (32451)Instruction limit reached!
% 1.42/0.54 % (32451)------------------------------
% 1.42/0.54 % (32451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (32451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (32451)Termination reason: Unknown
% 1.42/0.54 % (32451)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (32451)Memory used [KB]: 1279
% 1.42/0.54 % (32451)Time elapsed: 0.002 s
% 1.42/0.54 % (32451)Instructions burned: 3 (million)
% 1.42/0.54 % (32451)------------------------------
% 1.42/0.54 % (32451)------------------------------
% 1.42/0.54 % (32465)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.42/0.54 % (32435)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.42/0.54 % (32454)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54 % (32460)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.42/0.54 % (32461)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.42/0.54 % (32449)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.42/0.54 % (32453)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.42/0.54 % (32446)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.42/0.55 % (32445)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.42/0.55 % (32436)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.42/0.55 % (32447)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.42/0.55 % (32436)Instruction limit reached!
% 1.42/0.55 % (32436)------------------------------
% 1.42/0.55 % (32436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (32436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (32436)Termination reason: Unknown
% 1.42/0.55 % (32436)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (32436)Memory used [KB]: 5884
% 1.42/0.55 % (32436)Time elapsed: 0.142 s
% 1.42/0.55 % (32436)Instructions burned: 5 (million)
% 1.42/0.55 % (32436)------------------------------
% 1.42/0.55 % (32436)------------------------------
% 1.42/0.55 % (32438)Refutation not found, incomplete strategy% (32438)------------------------------
% 1.42/0.55 % (32438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (32438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (32438)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (32438)Memory used [KB]: 6012
% 1.42/0.55 % (32438)Time elapsed: 0.143 s
% 1.42/0.55 % (32438)Instructions burned: 5 (million)
% 1.42/0.55 % (32438)------------------------------
% 1.42/0.55 % (32438)------------------------------
% 1.42/0.55 % (32452)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.42/0.55 % (32464)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.50/0.55 % (32439)First to succeed.
% 1.50/0.55 % (32466)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.50/0.55 % (32441)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.56 % (32452)Instruction limit reached!
% 1.50/0.56 % (32452)------------------------------
% 1.50/0.56 % (32452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32460)Refutation not found, incomplete strategy% (32460)------------------------------
% 1.50/0.56 % (32460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (32460)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56
% 1.50/0.56 % (32460)Memory used [KB]: 5884
% 1.50/0.56 % (32460)Time elapsed: 0.130 s
% 1.50/0.56 % (32460)Instructions burned: 3 (million)
% 1.50/0.56 % (32460)------------------------------
% 1.50/0.56 % (32460)------------------------------
% 1.50/0.56 % (32454)Instruction limit reached!
% 1.50/0.56 % (32454)------------------------------
% 1.50/0.56 % (32454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (32447)Instruction limit reached!
% 1.50/0.56 % (32447)------------------------------
% 1.50/0.56 % (32447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32454)Termination reason: Unknown
% 1.50/0.56 % (32454)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (32454)Memory used [KB]: 6012
% 1.50/0.56 % (32454)Time elapsed: 0.140 s
% 1.50/0.56 % (32454)Instructions burned: 7 (million)
% 1.50/0.56 % (32454)------------------------------
% 1.50/0.56 % (32454)------------------------------
% 1.50/0.56 % (32445)Instruction limit reached!
% 1.50/0.56 % (32445)------------------------------
% 1.50/0.56 % (32445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (32447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (32447)Termination reason: Unknown
% 1.50/0.57 % (32447)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (32447)Memory used [KB]: 6012
% 1.50/0.57 % (32447)Time elapsed: 0.158 s
% 1.50/0.57 % (32447)Instructions burned: 5 (million)
% 1.50/0.57 % (32447)------------------------------
% 1.50/0.57 % (32447)------------------------------
% 1.50/0.57 % (32455)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.50/0.57 % (32443)Also succeeded, but the first one will report.
% 1.50/0.57 % (32439)Refutation found. Thanks to Tanya!
% 1.50/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.57 % (32439)------------------------------
% 1.50/0.57 % (32439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (32439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (32439)Termination reason: Refutation
% 1.50/0.57
% 1.50/0.57 % (32439)Memory used [KB]: 6140
% 1.50/0.57 % (32439)Time elapsed: 0.153 s
% 1.50/0.57 % (32439)Instructions burned: 22 (million)
% 1.50/0.57 % (32439)------------------------------
% 1.50/0.57 % (32439)------------------------------
% 1.50/0.57 % (32429)Success in time 0.215 s
%------------------------------------------------------------------------------