TSTP Solution File: GRP357-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP357-1 : 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 : 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 16:21:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 52
% Syntax : Number of formulae : 259 ( 6 unt; 0 def)
% Number of atoms : 1222 ( 306 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1903 ( 940 ~; 945 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f774,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f63,f68,f77,f78,f79,f80,f85,f90,f91,f92,f93,f94,f95,f96,f101,f102,f103,f104,f105,f106,f107,f108,f109,f121,f122,f123,f124,f125,f129,f133,f134,f264,f280,f291,f310,f480,f564,f673,f721,f749,f773]) ).
fof(f773,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f771]) ).
fof(f771,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f763,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f763,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f762,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f756,f661]) ).
fof(f661,plain,
( identity = inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f579,f659]) ).
fof(f659,plain,
( identity = sk_c3
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f657,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f657,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f144,f586]) ).
fof(f586,plain,
( identity = multiply(identity,sk_c3)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f404,f572]) ).
fof(f572,plain,
( identity = sk_c7
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f571,f2]) ).
fof(f571,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f426,f435]) ).
fof(f435,plain,
( sk_c7 = sk_c6
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f388,f434]) ).
fof(f434,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f431,f394]) ).
fof(f394,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl2_1
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f89,f385]) ).
fof(f385,plain,
( sk_c7 = sk_c8
| ~ spl2_1
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_demodulation,[],[f384,f72]) ).
fof(f72,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl2_7
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f384,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl2_1
| ~ spl2_11 ),
inference(forward_demodulation,[],[f382,f100]) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl2_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f382,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl2_1 ),
inference(superposition,[],[f144,f44]) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_1
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f89,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl2_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f431,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c7)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7
| ~ spl2_11 ),
inference(superposition,[],[f144,f389]) ).
fof(f389,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7
| ~ spl2_11 ),
inference(backward_demodulation,[],[f62,f385]) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl2_5
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f388,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_7
| ~ spl2_11 ),
inference(backward_demodulation,[],[f53,f385]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl2_3
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f426,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_7
| ~ spl2_11 ),
inference(superposition,[],[f144,f388]) ).
fof(f404,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl2_1
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f378,f385]) ).
fof(f378,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl2_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f144,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f139,f1]) ).
fof(f139,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f579,plain,
( identity = inverse(sk_c3)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f394,f572]) ).
fof(f756,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f724,f1]) ).
fof(f724,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f723,f573]) ).
fof(f573,plain,
( identity = sk_c8
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f385,f572]) ).
fof(f723,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| sk_c8 != inverse(X7) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f722,f572]) ).
fof(f722,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| sk_c8 != inverse(X7) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f132,f573]) ).
fof(f132,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl2_16
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f749,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f747]) ).
fof(f747,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f737,f661]) ).
fof(f737,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f709,f727]) ).
fof(f727,plain,
( identity = sk_c1
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f2,f706]) ).
fof(f706,plain,
( ! [X3] : multiply(inverse(sk_c1),X3) = X3
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f144,f601]) ).
fof(f601,plain,
( ! [X9] : multiply(sk_c1,X9) = X9
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f600,f1]) ).
fof(f600,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c1,X9)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f581,f599]) ).
fof(f599,plain,
( ! [X10] : multiply(sk_c2,X10) = X10
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f582,f1]) ).
fof(f582,plain,
( ! [X10] : multiply(sk_c2,multiply(identity,X10)) = multiply(identity,X10)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f398,f572]) ).
fof(f398,plain,
( ! [X10] : multiply(sk_c2,multiply(sk_c7,X10)) = multiply(sk_c7,X10)
| ~ spl2_1
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f142,f385]) ).
fof(f142,plain,
( ! [X10] : multiply(sk_c8,X10) = multiply(sk_c2,multiply(sk_c7,X10))
| ~ spl2_8 ),
inference(superposition,[],[f3,f76]) ).
fof(f76,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl2_8
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f581,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c1,multiply(sk_c2,X9))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f397,f572]) ).
fof(f397,plain,
( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c1,multiply(sk_c2,X9))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_7
| ~ spl2_11 ),
inference(backward_demodulation,[],[f141,f385]) ).
fof(f141,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c1,multiply(sk_c2,X9))
| ~ spl2_2 ),
inference(superposition,[],[f3,f48]) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl2_2
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f709,plain,
( identity != inverse(sk_c1)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f56,f704]) ).
fof(f704,plain,
( identity = sk_c2
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f575,f601]) ).
fof(f575,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f387,f572]) ).
fof(f387,plain,
( sk_c7 = multiply(sk_c1,sk_c2)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_7
| ~ spl2_11 ),
inference(backward_demodulation,[],[f48,f385]) ).
fof(f56,plain,
( sk_c2 != inverse(sk_c1)
| spl2_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl2_4
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f721,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(superposition,[],[f695,f1]) ).
fof(f695,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f692,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(superposition,[],[f677,f661]) ).
fof(f677,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f676,f573]) ).
fof(f676,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f675,f573]) ).
fof(f675,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),identity) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f128,f572]) ).
fof(f128,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl2_15
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f673,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f669]) ).
fof(f669,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f595,f661]) ).
fof(f595,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f570,f572]) ).
fof(f570,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f567,f435]) ).
fof(f567,plain,
( sk_c6 != inverse(sk_c7)
| ~ spl2_1
| ~ spl2_7
| spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f83,f385]) ).
fof(f83,plain,
( sk_c6 != inverse(sk_c8)
| spl2_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl2_9
<=> sk_c6 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f564,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f563,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f562]) ).
fof(f562,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(superposition,[],[f560,f474]) ).
fof(f474,plain,
( identity = inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f437,f444]) ).
fof(f444,plain,
( identity = sk_c7
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f434,f438]) ).
fof(f438,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f396,f435]) ).
fof(f396,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f136,f385]) ).
fof(f136,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl2_9 ),
inference(superposition,[],[f2,f84]) ).
fof(f84,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f437,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f393,f435]) ).
fof(f393,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl2_1
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f84,f385]) ).
fof(f560,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f553]) ).
fof(f553,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(superposition,[],[f483,f1]) ).
fof(f483,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f482,f444]) ).
fof(f482,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f481,f445]) ).
fof(f445,plain,
( identity = sk_c8
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f385,f444]) ).
fof(f481,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| identity != inverse(X5) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f120,f445]) ).
fof(f120,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl2_14
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f480,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f478]) ).
fof(f478,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f443,f444]) ).
fof(f443,plain,
( identity != sk_c7
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f436,f438]) ).
fof(f436,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f390,f435]) ).
fof(f390,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl2_1
| spl2_6
| ~ spl2_7
| ~ spl2_11 ),
inference(backward_demodulation,[],[f66,f385]) ).
fof(f66,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| spl2_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl2_6
<=> multiply(sk_c7,sk_c6) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f310,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f308]) ).
fof(f308,plain,
( identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(superposition,[],[f307,f208]) ).
fof(f208,plain,
( identity = inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f190,f207]) ).
fof(f207,plain,
( identity = sk_c1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f206,f2]) ).
fof(f206,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f165,f189]) ).
fof(f189,plain,
( identity = sk_c2
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f179,f185]) ).
fof(f185,plain,
( ! [X10] : multiply(sk_c2,X10) = X10
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f182,f184]) ).
fof(f184,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_9 ),
inference(backward_demodulation,[],[f181,f183]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9 ),
inference(backward_demodulation,[],[f148,f168]) ).
fof(f168,plain,
( identity = sk_c8
| ~ spl2_2
| ~ spl2_4 ),
inference(forward_demodulation,[],[f164,f2]) ).
fof(f164,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl2_2
| ~ spl2_4 ),
inference(superposition,[],[f144,f149]) ).
fof(f149,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl2_2
| ~ spl2_4 ),
inference(superposition,[],[f146,f48]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl2_4 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl2_4 ),
inference(superposition,[],[f3,f135]) ).
fof(f135,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl2_4 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f148,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl2_9 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl2_9 ),
inference(superposition,[],[f3,f136]) ).
fof(f181,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c6,X8)) = X8
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f175,f1]) ).
fof(f175,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c7,multiply(sk_c6,X8))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(backward_demodulation,[],[f140,f168]) ).
fof(f140,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c7,multiply(sk_c6,X8))
| ~ spl2_6 ),
inference(superposition,[],[f3,f67]) ).
fof(f67,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f182,plain,
( ! [X10] : multiply(sk_c2,multiply(sk_c7,X10)) = X10
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f177,f1]) ).
fof(f177,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c2,multiply(sk_c7,X10))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8 ),
inference(backward_demodulation,[],[f142,f168]) ).
fof(f179,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl2_2
| ~ spl2_4 ),
inference(backward_demodulation,[],[f149,f168]) ).
fof(f165,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl2_4 ),
inference(superposition,[],[f144,f135]) ).
fof(f190,plain,
( identity = inverse(sk_c1)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f57,f189]) ).
fof(f307,plain,
( identity != inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f306,f208]) ).
fof(f306,plain,
( identity != inverse(inverse(identity))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(superposition,[],[f299,f2]) ).
fof(f299,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(superposition,[],[f294,f1]) ).
fof(f294,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f293,f217]) ).
fof(f217,plain,
( identity = sk_c7
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f216,f2]) ).
fof(f216,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f215,f189]) ).
fof(f215,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f163,f168]) ).
fof(f163,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl2_8 ),
inference(superposition,[],[f144,f76]) ).
fof(f293,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f292,f168]) ).
fof(f292,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| identity != inverse(X7) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f132,f168]) ).
fof(f291,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f289]) ).
fof(f289,plain,
( identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(superposition,[],[f287,f1]) ).
fof(f287,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f284,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(superposition,[],[f283,f208]) ).
fof(f283,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f282,f168]) ).
fof(f282,plain,
( ! [X3] :
( identity != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),identity) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f281,f217]) ).
fof(f281,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| identity != multiply(X3,inverse(X3)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_15 ),
inference(forward_demodulation,[],[f128,f168]) ).
fof(f280,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f278,plain,
( identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(superposition,[],[f277,f208]) ).
fof(f277,plain,
( identity != inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f276,f208]) ).
fof(f276,plain,
( identity != inverse(inverse(identity))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(superposition,[],[f270,f2]) ).
fof(f270,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f269,f217]) ).
fof(f269,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f268,f168]) ).
fof(f268,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f120,f168]) ).
fof(f264,plain,
( ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( identity != identity
| ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(superposition,[],[f212,f217]) ).
fof(f212,plain,
( identity != sk_c7
| ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f196,f211]) ).
fof(f211,plain,
( identity = sk_c6
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f173,f208]) ).
fof(f173,plain,
( sk_c6 = inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9 ),
inference(backward_demodulation,[],[f84,f168]) ).
fof(f196,plain,
( sk_c7 != sk_c6
| ~ spl2_2
| spl2_3
| ~ spl2_4 ),
inference(forward_demodulation,[],[f170,f1]) ).
fof(f170,plain,
( sk_c6 != multiply(identity,sk_c7)
| ~ spl2_2
| spl2_3
| ~ spl2_4 ),
inference(backward_demodulation,[],[f52,f168]) ).
fof(f52,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl2_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f134,plain,
( spl2_11
| spl2_4 ),
inference(avatar_split_clause,[],[f27,f55,f98]) ).
fof(f27,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f133,plain,
( spl2_13
| spl2_16 ),
inference(avatar_split_clause,[],[f39,f131,f115]) ).
fof(f115,plain,
( spl2_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f39,plain,
! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sP1
| sk_c8 != inverse(X7) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f129,plain,
( spl2_12
| spl2_15 ),
inference(avatar_split_clause,[],[f37,f127,f111]) ).
fof(f111,plain,
( spl2_12
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f37,plain,
! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| sP0 ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f125,plain,
( spl2_11
| spl2_9 ),
inference(avatar_split_clause,[],[f15,f82,f98]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f124,plain,
( spl2_5
| spl2_9 ),
inference(avatar_split_clause,[],[f11,f82,f60]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f123,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f16,f46,f51]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f122,plain,
( spl2_10
| spl2_6 ),
inference(avatar_split_clause,[],[f6,f65,f87]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f121,plain,
( ~ spl2_6
| ~ spl2_3
| ~ spl2_12
| ~ spl2_13
| spl2_14
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f40,f82,f119,f115,f111,f51,f65]) ).
fof(f40,plain,
! [X5] :
( sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X5)
| ~ sP1
| sk_c7 != multiply(X5,sk_c8)
| ~ sP0
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f38,plain,
! [X7,X5] :
( sk_c8 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X5)
| sk_c6 != multiply(sk_c8,sk_c7)
| ~ sP0 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f36,plain,
! [X3,X7,X5] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != multiply(X3,inverse(X3))
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X5)
| sk_c6 != multiply(sk_c8,sk_c7) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != multiply(X3,inverse(X3))
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(sk_c8,sk_c7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c8 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X3) != X4
| sk_c8 != multiply(X3,X4)
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f109,plain,
( spl2_2
| spl2_7 ),
inference(avatar_split_clause,[],[f19,f70,f46]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f108,plain,
( spl2_6
| spl2_11 ),
inference(avatar_split_clause,[],[f9,f98,f65]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f107,plain,
( spl2_9
| spl2_7 ),
inference(avatar_split_clause,[],[f13,f70,f82]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f106,plain,
( spl2_8
| spl2_11 ),
inference(avatar_split_clause,[],[f33,f98,f74]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f105,plain,
( spl2_7
| spl2_6 ),
inference(avatar_split_clause,[],[f7,f65,f70]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f104,plain,
( spl2_10
| spl2_8 ),
inference(avatar_split_clause,[],[f30,f74,f87]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f103,plain,
( spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f4,f65,f51]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f102,plain,
( spl2_9
| spl2_3 ),
inference(avatar_split_clause,[],[f10,f51,f82]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f101,plain,
( spl2_11
| spl2_2 ),
inference(avatar_split_clause,[],[f21,f46,f98]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f96,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f12,f87,f82]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f95,plain,
( spl2_10
| spl2_4 ),
inference(avatar_split_clause,[],[f24,f55,f87]) ).
fof(f24,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f94,plain,
( spl2_5
| spl2_2 ),
inference(avatar_split_clause,[],[f17,f46,f60]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f93,plain,
( spl2_5
| spl2_8 ),
inference(avatar_split_clause,[],[f29,f74,f60]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f92,plain,
( spl2_1
| spl2_8 ),
inference(avatar_split_clause,[],[f32,f74,f42]) ).
fof(f32,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f91,plain,
( spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f26,f55,f42]) ).
fof(f26,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f90,plain,
( spl2_2
| spl2_10 ),
inference(avatar_split_clause,[],[f18,f87,f46]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f85,plain,
( spl2_9
| spl2_1 ),
inference(avatar_split_clause,[],[f14,f42,f82]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f80,plain,
( spl2_6
| spl2_1 ),
inference(avatar_split_clause,[],[f8,f42,f65]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f79,plain,
( spl2_7
| spl2_4 ),
inference(avatar_split_clause,[],[f25,f55,f70]) ).
fof(f25,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f78,plain,
( spl2_3
| spl2_8 ),
inference(avatar_split_clause,[],[f28,f74,f51]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f77,plain,
( spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f31,f74,f70]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f68,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f5,f65,f60]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f63,plain,
( spl2_5
| spl2_4 ),
inference(avatar_split_clause,[],[f23,f55,f60]) ).
fof(f23,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f58,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f22,f55,f51]) ).
fof(f22,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f49,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f20,f46,f42]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP357-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:35:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (18817)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)
% 0.20/0.51 % (18812)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)
% 0.20/0.51 % (18801)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 % (18798)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 % (18798)Instruction limit reached!
% 0.20/0.51 % (18798)------------------------------
% 0.20/0.51 % (18798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18800)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (18798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18798)Termination reason: Unknown
% 0.20/0.51 % (18798)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (18798)Memory used [KB]: 5500
% 0.20/0.51 % (18798)Time elapsed: 0.109 s
% 0.20/0.51 % (18798)Instructions burned: 3 (million)
% 0.20/0.51 % (18798)------------------------------
% 0.20/0.51 % (18798)------------------------------
% 0.20/0.51 % (18791)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)
% 0.20/0.51 % (18803)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (18804)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)
% 0.20/0.52 % (18809)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 % (18793)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)
% 0.20/0.52 % (18792)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)
% 0.20/0.52 % (18816)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)
% 0.20/0.52 % (18802)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (18799)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)
% 0.20/0.52 % (18790)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)
% 0.20/0.53 % (18794)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (18808)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (18807)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (18805)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)
% 0.20/0.53 % (18796)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)
% 0.20/0.53 % (18806)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (18815)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (18811)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (18813)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)
% 0.20/0.54 % (18818)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (18795)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)
% 0.20/0.54 % (18814)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (18819)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)
% 0.20/0.54 % (18797)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (18797)Instruction limit reached!
% 0.20/0.55 % (18797)------------------------------
% 0.20/0.55 % (18797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18797)Termination reason: Unknown
% 0.20/0.55 % (18797)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (18797)Memory used [KB]: 5500
% 0.20/0.55 % (18797)Time elapsed: 0.152 s
% 0.20/0.55 % (18797)Instructions burned: 7 (million)
% 0.20/0.55 % (18797)------------------------------
% 0.20/0.55 % (18797)------------------------------
% 0.20/0.55 TRYING [3]
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (18810)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)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (18800)First to succeed.
% 0.20/0.56 % (18800)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (18800)------------------------------
% 0.20/0.57 % (18800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (18800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (18800)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (18800)Memory used [KB]: 5756
% 0.20/0.57 % (18800)Time elapsed: 0.169 s
% 0.20/0.57 % (18800)Instructions burned: 23 (million)
% 0.20/0.57 % (18800)------------------------------
% 0.20/0.57 % (18800)------------------------------
% 0.20/0.57 % (18789)Success in time 0.218 s
%------------------------------------------------------------------------------