TSTP Solution File: GRP262-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP262-1 : 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 : n020.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 16:21:05 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 52
% Syntax : Number of formulae : 260 ( 7 unt; 0 def)
% Number of atoms : 1004 ( 296 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1490 ( 746 ~; 721 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f712,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f58,f59,f60,f61,f70,f71,f76,f81,f82,f83,f84,f89,f90,f91,f92,f93,f101,f102,f110,f118,f119,f123,f124,f125,f126,f127,f128,f243,f270,f282,f294,f331,f332,f390,f432,f500,f505,f574,f619,f631,f683,f697,f711]) ).
fof(f711,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f709,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f707,f649]) ).
fof(f649,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f641,f648]) ).
fof(f648,plain,
( identity = sk_c4
| ~ spl3_1
| ~ spl3_5
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f647,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f647,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f415,f493]) ).
fof(f493,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f444,f2]) ).
fof(f444,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f407,f325]) ).
fof(f325,plain,
( sk_c7 = sk_c5
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl3_18
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f407,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl3_1
| ~ spl3_19 ),
inference(backward_demodulation,[],[f303,f329]) ).
fof(f329,plain,
( sk_c7 = sk_c6
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl3_19
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f303,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_1 ),
inference(superposition,[],[f139,f39]) ).
fof(f39,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_1
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f139,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f132,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f132,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
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(f415,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl3_5
| ~ spl3_19 ),
inference(backward_demodulation,[],[f354,f329]) ).
fof(f354,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl3_5 ),
inference(superposition,[],[f139,f296]) ).
fof(f296,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl3_5 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f641,plain,
( identity = inverse(sk_c4)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f395,f493]) ).
fof(f395,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_5
| ~ spl3_19 ),
inference(backward_demodulation,[],[f57,f329]) ).
fof(f707,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f700,f1]) ).
fof(f700,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_1
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f699,f581]) ).
fof(f581,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f329,f493]) ).
fof(f699,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_1
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f698,f344]) ).
fof(f344,plain,
( identity = sk_c5
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl3_22
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f698,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_1
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f122,f581]) ).
fof(f122,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl3_17
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f697,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f696,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f695]) ).
fof(f695,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f694,f649]) ).
fof(f694,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f692,f649]) ).
fof(f692,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f689]) ).
fof(f689,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f686,f2]) ).
fof(f686,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f685,f493]) ).
fof(f685,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f684,f581]) ).
fof(f684,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f109,f493]) ).
fof(f109,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_14
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f683,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f681]) ).
fof(f681,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f626,f649]) ).
fof(f626,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f623]) ).
fof(f623,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f622,f1]) ).
fof(f622,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f621,f493]) ).
fof(f621,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f620,f493]) ).
fof(f620,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f113,f581]) ).
fof(f113,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl3_15
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f631,plain,
( ~ spl3_1
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl3_1
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f629]) ).
fof(f629,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f628,f578]) ).
fof(f578,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f577,f493]) ).
fof(f577,plain,
( sk_c7 = inverse(identity)
| ~ spl3_1
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f88,f567]) ).
fof(f567,plain,
( identity = sk_c1
| ~ spl3_1
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f566,f2]) ).
fof(f566,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f154,f493]) ).
fof(f154,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_10 ),
inference(superposition,[],[f139,f130]) ).
fof(f130,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_10 ),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_10
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f628,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f627,f578]) ).
fof(f627,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f622,f2]) ).
fof(f619,plain,
( ~ spl3_1
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl3_1
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f610,f578]) ).
fof(f610,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f606]) ).
fof(f606,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f551,f1]) ).
fof(f551,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f549,f493]) ).
fof(f549,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl3_1
| ~ spl3_14
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f436,f493]) ).
fof(f436,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f109,f329]) ).
fof(f574,plain,
( spl3_22
| ~ spl3_1
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f573,f328,f324,f37,f343]) ).
fof(f573,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f325,f493]) ).
fof(f505,plain,
( ~ spl3_19
| spl3_2
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f504,f343,f41,f328]) ).
fof(f41,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f504,plain,
( sk_c7 != sk_c6
| spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f503,f1]) ).
fof(f503,plain,
( sk_c6 != multiply(identity,sk_c7)
| spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f42,f344]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f500,plain,
( ~ spl3_2
| spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl3_2
| spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f498]) ).
fof(f498,plain,
( identity != identity
| ~ spl3_2
| spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f480,f1]) ).
fof(f480,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f463,f470]) ).
fof(f470,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f460,f2]) ).
fof(f460,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f154,f457]) ).
fof(f457,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f441,f2]) ).
fof(f441,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f401,f325]) ).
fof(f401,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c7)
| ~ spl3_2
| ~ spl3_19 ),
inference(backward_demodulation,[],[f155,f329]) ).
fof(f155,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl3_2 ),
inference(superposition,[],[f139,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f463,plain,
( identity != multiply(sk_c1,identity)
| ~ spl3_2
| spl3_3
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f393,f457]) ).
fof(f393,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| spl3_3
| ~ spl3_19 ),
inference(backward_demodulation,[],[f47,f329]) ).
fof(f47,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_3
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f432,plain,
( spl3_18
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f431,f328,f78,f63,f55,f50,f324]) ).
fof(f50,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f63,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f78,plain,
( spl3_9
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f431,plain,
( sk_c7 = sk_c5
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(backward_demodulation,[],[f410,f411]) ).
fof(f411,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(backward_demodulation,[],[f315,f329]) ).
fof(f315,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f313,f65]) ).
fof(f65,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f313,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_9 ),
inference(superposition,[],[f139,f80]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f410,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_5
| ~ spl3_19 ),
inference(backward_demodulation,[],[f309,f329]) ).
fof(f309,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_5 ),
inference(forward_demodulation,[],[f307,f57]) ).
fof(f307,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_4 ),
inference(superposition,[],[f139,f52]) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f390,plain,
( spl3_19
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f389,f55,f50,f37,f328]) ).
fof(f389,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5 ),
inference(forward_demodulation,[],[f385,f303]) ).
fof(f385,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_4
| ~ spl3_5 ),
inference(superposition,[],[f139,f309]) ).
fof(f332,plain,
( ~ spl3_8
| ~ spl3_7
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f321,f99,f67,f73]) ).
fof(f73,plain,
( spl3_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f67,plain,
( spl3_7
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f99,plain,
( spl3_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f321,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl3_7
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f316]) ).
fof(f316,plain,
( sk_c5 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl3_7
| ~ spl3_12 ),
inference(superposition,[],[f100,f69]) ).
fof(f69,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f100,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f331,plain,
( ~ spl3_18
| ~ spl3_19
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f322,f99,f78,f63,f328,f324]) ).
fof(f322,plain,
( sk_c7 != sk_c6
| sk_c7 != sk_c5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f317,f65]) ).
fof(f317,plain,
( sk_c7 != sk_c5
| sk_c6 != inverse(sk_c3)
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f100,f80]) ).
fof(f294,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(superposition,[],[f290,f215]) ).
fof(f215,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f194,f212]) ).
fof(f212,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f211,f2]) ).
fof(f211,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f184,f200]) ).
fof(f200,plain,
( identity = sk_c5
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f175,f189]) ).
fof(f189,plain,
( ! [X5] : multiply(sk_c2,X5) = X5
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f183,f149]) ).
fof(f149,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f139,f1]) ).
fof(f183,plain,
( ! [X5] : multiply(sk_c2,X5) = multiply(inverse(identity),X5)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f152,f171]) ).
fof(f171,plain,
( identity = sk_c6
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f169,f2]) ).
fof(f169,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_3
| ~ spl3_10 ),
inference(superposition,[],[f139,f160]) ).
fof(f160,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f156,f88]) ).
fof(f156,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_3 ),
inference(superposition,[],[f139,f48]) ).
fof(f48,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f152,plain,
( ! [X5] : multiply(sk_c2,X5) = multiply(inverse(sk_c6),X5)
| ~ spl3_8 ),
inference(superposition,[],[f139,f138]) ).
fof(f138,plain,
( ! [X11] : multiply(sk_c6,multiply(sk_c2,X11)) = X11
| ~ spl3_8 ),
inference(forward_demodulation,[],[f137,f1]) ).
fof(f137,plain,
( ! [X11] : multiply(sk_c6,multiply(sk_c2,X11)) = multiply(identity,X11)
| ~ spl3_8 ),
inference(superposition,[],[f3,f129]) ).
fof(f129,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl3_8 ),
inference(superposition,[],[f2,f75]) ).
fof(f75,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f175,plain,
( sk_c5 = multiply(sk_c2,identity)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10 ),
inference(backward_demodulation,[],[f69,f171]) ).
fof(f184,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10 ),
inference(backward_demodulation,[],[f155,f171]) ).
fof(f194,plain,
( sk_c7 = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f88,f193]) ).
fof(f193,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f192,f191]) ).
fof(f191,plain,
( ! [X10] : multiply(sk_c5,X10) = X10
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f190,f1]) ).
fof(f190,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c5,X10)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f180,f189]) ).
fof(f180,plain,
( ! [X10] : multiply(sk_c5,X10) = multiply(sk_c2,multiply(identity,X10))
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10 ),
inference(backward_demodulation,[],[f136,f171]) ).
fof(f136,plain,
( ! [X10] : multiply(sk_c5,X10) = multiply(sk_c2,multiply(sk_c6,X10))
| ~ spl3_7 ),
inference(superposition,[],[f3,f69]) ).
fof(f192,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f187,plain,
( multiply(sk_c5,identity) = multiply(identity,sk_c1)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10 ),
inference(backward_demodulation,[],[f163,f171]) ).
fof(f163,plain,
( multiply(sk_c5,identity) = multiply(sk_c6,sk_c1)
| ~ spl3_2
| ~ spl3_10 ),
inference(superposition,[],[f134,f130]) ).
fof(f134,plain,
( ! [X8] : multiply(sk_c5,multiply(sk_c7,X8)) = multiply(sk_c6,X8)
| ~ spl3_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f290,plain,
( identity != inverse(identity)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(superposition,[],[f285,f1]) ).
fof(f285,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f284,f171]) ).
fof(f284,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f283,f171]) ).
fof(f283,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f122,f200]) ).
fof(f282,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f280]) ).
fof(f280,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f278,f215]) ).
fof(f278,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f273,f1]) ).
fof(f273,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f272,f212]) ).
fof(f272,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f271,f212]) ).
fof(f271,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_3
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f113,f171]) ).
fof(f270,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(superposition,[],[f267,f215]) ).
fof(f267,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f266,f215]) ).
fof(f266,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(superposition,[],[f261,f2]) ).
fof(f261,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f260,f212]) ).
fof(f260,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f259,f171]) ).
fof(f259,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f109,f212]) ).
fof(f243,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( identity != identity
| spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(superposition,[],[f220,f212]) ).
fof(f220,plain,
( identity != sk_c7
| spl3_1
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f219,f200]) ).
fof(f219,plain,
( sk_c7 != sk_c5
| spl3_1
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f172,plain,
( sk_c5 != multiply(identity,sk_c7)
| spl3_1
| ~ spl3_3
| ~ spl3_10 ),
inference(backward_demodulation,[],[f38,f171]) ).
fof(f38,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f128,plain,
( spl3_7
| spl3_4 ),
inference(avatar_split_clause,[],[f18,f50,f67]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f127,plain,
( spl3_10
| spl3_9 ),
inference(avatar_split_clause,[],[f11,f78,f86]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f126,plain,
( spl3_10
| spl3_5 ),
inference(avatar_split_clause,[],[f12,f55,f86]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f125,plain,
( spl3_7
| spl3_9 ),
inference(avatar_split_clause,[],[f16,f78,f67]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f124,plain,
( spl3_4
| spl3_10 ),
inference(avatar_split_clause,[],[f13,f86,f50]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f123,plain,
( spl3_17
| spl3_16 ),
inference(avatar_split_clause,[],[f32,f115,f121]) ).
fof(f115,plain,
( spl3_16
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f32,plain,
! [X6] :
( sP1
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f119,plain,
( spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f37,f73]) ).
fof(f19,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f118,plain,
( ~ spl3_2
| ~ spl3_13
| ~ spl3_1
| spl3_15
| ~ spl3_16
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f35,f95,f115,f112,f37,f104,f41]) ).
fof(f104,plain,
( spl3_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f95,plain,
( spl3_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f35,plain,
! [X5] :
( ~ sP2
| ~ sP1
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| ~ sP0
| sk_c6 != multiply(sk_c5,sk_c7) ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f34,plain,
! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sP2 ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f33,plain,
! [X4,X5] :
( sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f31,plain,
! [X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f110,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f30,f108,f104]) ).
fof(f102,plain,
( spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f9,f37,f86]) ).
fof(f9,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f101,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f34,f99,f95]) ).
fof(f93,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f25,f41,f63]) ).
fof(f25,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f92,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f21,f73,f78]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f91,plain,
( spl3_6
| spl3_3 ),
inference(avatar_split_clause,[],[f5,f46,f63]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f90,plain,
( spl3_9
| spl3_3 ),
inference(avatar_split_clause,[],[f6,f46,f78]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f89,plain,
( spl3_6
| spl3_10 ),
inference(avatar_split_clause,[],[f10,f86,f63]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f84,plain,
( spl3_7
| spl3_1 ),
inference(avatar_split_clause,[],[f14,f37,f67]) ).
fof(f14,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f83,plain,
( spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f23,f50,f73]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f82,plain,
( spl3_5
| spl3_8 ),
inference(avatar_split_clause,[],[f22,f73,f55]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f81,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f26,f78,f41]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f76,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f20,f73,f63]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f71,plain,
( spl3_7
| spl3_5 ),
inference(avatar_split_clause,[],[f17,f55,f67]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f70,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f15,f67,f63]) ).
fof(f15,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f61,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f28,f50,f41]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f60,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f4,f37,f46]) ).
fof(f4,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f59,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f27,f41,f55]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f58,plain,
( spl3_5
| spl3_3 ),
inference(avatar_split_clause,[],[f7,f46,f55]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f53,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f8,f50,f46]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f44,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f24,f41,f37]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP262-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:25:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (23036)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (23048)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.49 % (23039)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.49 % (23029)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)
% 0.20/0.49 % (23034)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (23030)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 % (23032)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (23032)Instruction limit reached!
% 0.20/0.51 % (23032)------------------------------
% 0.20/0.51 % (23032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23032)Termination reason: Unknown
% 0.20/0.51 % (23032)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (23032)Memory used [KB]: 5373
% 0.20/0.51 % (23032)Time elapsed: 0.004 s
% 0.20/0.51 % (23032)Instructions burned: 2 (million)
% 0.20/0.51 % (23032)------------------------------
% 0.20/0.51 % (23032)------------------------------
% 0.20/0.51 % (23026)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (23024)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (23037)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (23033)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)
% 0.20/0.51 % (23028)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (23051)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)
% 0.20/0.51 % (23038)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)
% 0.20/0.51 % (23035)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.52 % (23056)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (23045)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)
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (23040)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (23054)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (23043)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (23046)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (23034)First to succeed.
% 0.20/0.52 % (23047)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (23025)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (23042)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (23027)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (23050)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (23049)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 TRYING [4]
% 0.20/0.54 % (23053)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (23028)Also succeeded, but the first one will report.
% 0.20/0.54 % (23034)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (23034)------------------------------
% 0.20/0.54 % (23034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23034)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (23034)Memory used [KB]: 5756
% 0.20/0.54 % (23034)Time elapsed: 0.137 s
% 0.20/0.54 % (23034)Instructions burned: 20 (million)
% 0.20/0.54 % (23034)------------------------------
% 0.20/0.54 % (23034)------------------------------
% 0.20/0.54 % (23021)Success in time 0.194 s
%------------------------------------------------------------------------------