TSTP Solution File: GRP348-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP348-1 : 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 : n022.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 16:21:22 EDT 2022
% Result : Unsatisfiable 1.44s 0.53s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 47
% Syntax : Number of formulae : 266 ( 38 unt; 0 def)
% Number of atoms : 936 ( 301 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1294 ( 624 ~; 658 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1008,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f84,f89,f98,f99,f100,f101,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f353,f385,f438,f519,f765,f776,f831,f1007]) ).
fof(f1007,plain,
( ~ spl11_1
| spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1006,plain,
( $false
| ~ spl11_1
| spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f1005,f948]) ).
fof(f948,plain,
( sk_c5 != sk_c4
| ~ spl11_1
| spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f847,f945]) ).
fof(f945,plain,
( sk_c4 = sF4
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f944,f845]) ).
fof(f845,plain,
( sk_c4 = sF9(sk_c5)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f844,f577]) ).
fof(f577,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f569,f105]) ).
fof(f105,plain,
( sk_c5 = sF5
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl11_11
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f569,plain,
( sk_c4 = multiply(sF5,sk_c5)
| ~ spl11_8 ),
inference(superposition,[],[f221,f88]) ).
fof(f88,plain,
( sk_c5 = sF0
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl11_8
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f221,plain,
sk_c4 = multiply(sF5,sF0),
inference(forward_demodulation,[],[f212,f33]) ).
fof(f33,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f212,plain,
sk_c4 = multiply(inverse(sk_c2),sF0),
inference(superposition,[],[f175,f25]) ).
fof(f25,plain,
multiply(sk_c2,sk_c4) = sF0,
introduced(function_definition,[]) ).
fof(f175,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f156,plain,
! [X10,X11] : multiply(identity,X11) = multiply(inverse(X10),multiply(X10,X11)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f844,plain,
( multiply(sk_c5,sk_c5) = sF9(sk_c5)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f597,f835]) ).
fof(f835,plain,
( sF9(sk_c5) = sF10(sk_c4)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f834,f46]) ).
fof(f46,plain,
! [X4] : multiply(X4,sk_c4) = sF9(X4),
introduced(function_definition,[]) ).
fof(f834,plain,
( multiply(sk_c5,sk_c4) = sF10(sk_c4)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f833,f616]) ).
fof(f616,plain,
( sk_c4 = sF10(sk_c5)
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f577,f47]) ).
fof(f47,plain,
! [X3] : multiply(X3,sk_c5) = sF10(X3),
introduced(function_definition,[]) ).
fof(f833,plain,
( multiply(sk_c5,sF10(sk_c5)) = sF10(sk_c4)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f605,f576]) ).
fof(f576,plain,
( sk_c5 = sk_c6
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f575,f88]) ).
fof(f575,plain,
( sk_c6 = sF0
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f574,f525]) ).
fof(f525,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f205,f79]) ).
fof(f79,plain,
( sk_c4 = sF3
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl11_6
<=> sk_c4 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f205,plain,
sk_c6 = multiply(inverse(sk_c5),sF3),
inference(superposition,[],[f175,f29]) ).
fof(f29,plain,
multiply(sk_c5,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f574,plain,
( sF0 = multiply(inverse(sk_c5),sk_c4)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f570,f105]) ).
fof(f570,plain,
sF0 = multiply(inverse(sF5),sk_c4),
inference(superposition,[],[f175,f221]) ).
fof(f605,plain,
( multiply(sk_c5,sF10(sk_c6)) = sF10(sk_c4)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f604,f79]) ).
fof(f604,plain,
multiply(sk_c5,sF10(sk_c6)) = sF10(sF3),
inference(forward_demodulation,[],[f582,f47]) ).
fof(f582,plain,
multiply(sk_c5,sF10(sk_c6)) = multiply(sF3,sk_c5),
inference(superposition,[],[f157,f47]) ).
fof(f157,plain,
! [X12] : multiply(sF3,X12) = multiply(sk_c5,multiply(sk_c6,X12)),
inference(superposition,[],[f3,f29]) ).
fof(f597,plain,
( multiply(sk_c5,sk_c5) = sF10(sk_c4)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f596,f79]) ).
fof(f596,plain,
( multiply(sk_c5,sk_c5) = sF10(sF3)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f595,f47]) ).
fof(f595,plain,
( multiply(sk_c5,sk_c5) = multiply(sF3,sk_c5)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f579,f576]) ).
fof(f579,plain,
( multiply(sk_c5,sk_c5) = multiply(sF3,sk_c6)
| ~ spl11_1
| ~ spl11_9 ),
inference(superposition,[],[f157,f530]) ).
fof(f530,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl11_1
| ~ spl11_9 ),
inference(forward_demodulation,[],[f529,f93]) ).
fof(f93,plain,
( sk_c6 = sF7
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_9
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f529,plain,
( sk_c5 = multiply(sF7,sk_c6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f237,f60]) ).
fof(f60,plain,
( sk_c6 = sF8
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl11_1
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f237,plain,
sk_c5 = multiply(sF7,sF8),
inference(forward_demodulation,[],[f211,f36]) ).
fof(f36,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f211,plain,
sk_c5 = multiply(inverse(sk_c1),sF8),
inference(superposition,[],[f175,f39]) ).
fof(f39,plain,
multiply(sk_c1,sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f944,plain,
( sF4 = sF9(sk_c5)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f145,f835]) ).
fof(f145,plain,
sF4 = sF10(sk_c4),
inference(superposition,[],[f31,f47]) ).
fof(f31,plain,
multiply(sk_c4,sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f847,plain,
( sk_c5 != sF4
| spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f76,f576]) ).
fof(f76,plain,
( sk_c6 != sF4
| spl11_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl11_5
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1005,plain,
( sk_c5 = sk_c4
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1004,f576]) ).
fof(f1004,plain,
( sk_c6 = sk_c4
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f995,f525]) ).
fof(f995,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c4)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f175,f978]) ).
fof(f978,plain,
( sk_c4 = multiply(sk_c5,sk_c4)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f977,f576]) ).
fof(f977,plain,
( sk_c4 = multiply(sk_c6,sk_c4)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f976,f60]) ).
fof(f976,plain,
( sk_c4 = multiply(sF8,sk_c4)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f928,f972]) ).
fof(f972,plain,
( sk_c4 = sF9(sk_c1)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f971,f577]) ).
fof(f971,plain,
( multiply(sk_c5,sk_c5) = sF9(sk_c1)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f970,f576]) ).
fof(f970,plain,
( sF9(sk_c1) = multiply(sk_c6,sk_c5)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f934,f60]) ).
fof(f934,plain,
( multiply(sF8,sk_c5) = sF9(sk_c1)
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f933,f46]) ).
fof(f933,plain,
( multiply(sF8,sk_c5) = multiply(sk_c1,sk_c4)
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f889,f616]) ).
fof(f889,plain,
multiply(sF8,sk_c5) = multiply(sk_c1,sF10(sk_c5)),
inference(superposition,[],[f162,f47]) ).
fof(f162,plain,
! [X17] : multiply(sF8,X17) = multiply(sk_c1,multiply(sk_c5,X17)),
inference(superposition,[],[f3,f39]) ).
fof(f928,plain,
( multiply(sF8,sk_c4) = sF9(sk_c1)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f927,f46]) ).
fof(f927,plain,
( multiply(sF8,sk_c4) = multiply(sk_c1,sk_c4)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f888,f845]) ).
fof(f888,plain,
multiply(sF8,sk_c4) = multiply(sk_c1,sF9(sk_c5)),
inference(superposition,[],[f162,f46]) ).
fof(f831,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f829,f787]) ).
fof(f787,plain,
( identity = sF1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f68,f637]) ).
fof(f637,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f635,f2]) ).
fof(f635,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c5)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f175,f599]) ).
fof(f599,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f598,f576]) ).
fof(f598,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f597,f149]) ).
fof(f149,plain,
( sk_c6 = sF10(sk_c4)
| ~ spl11_5 ),
inference(forward_demodulation,[],[f145,f75]) ).
fof(f75,plain,
( sk_c6 = sF4
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f68,plain,
( sk_c5 = sF1
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl11_3
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f829,plain,
( identity != sF1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f814,f694]) ).
fof(f694,plain,
( sF1 = inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f26,f638]) ).
fof(f638,plain,
( identity = sk_c4
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f629,f637]) ).
fof(f629,plain,
( sk_c5 = sk_c4
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f599,f577]) ).
fof(f26,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f814,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f813,f787]) ).
fof(f813,plain,
( identity != inverse(sF1)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
( identity != inverse(sF1)
| identity != identity
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f792,f740]) ).
fof(f740,plain,
( identity = sF10(sF1)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f735,f637]) ).
fof(f735,plain,
( sk_c5 = sF10(sF1)
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f610,f47]) ).
fof(f610,plain,
( sk_c5 = multiply(sF1,sk_c5)
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f523,f576]) ).
fof(f523,plain,
( sk_c5 = multiply(sF1,sk_c6)
| ~ spl11_5 ),
inference(forward_demodulation,[],[f226,f26]) ).
fof(f226,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl11_5 ),
inference(forward_demodulation,[],[f209,f75]) ).
fof(f209,plain,
sk_c5 = multiply(inverse(sk_c4),sF4),
inference(superposition,[],[f175,f31]) ).
fof(f792,plain,
( ! [X3] :
( identity != sF10(X3)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f791,f637]) ).
fof(f791,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c5 != sF10(X3) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f790,f637]) ).
fof(f790,plain,
( ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != sF10(X3) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f789,f576]) ).
fof(f789,plain,
( ! [X3] :
( sk_c6 != sF10(X3)
| sk_c5 != inverse(X3) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f72,f576]) ).
fof(f72,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != sF10(X3) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl11_4
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != sF10(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f776,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f775,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f774,f69]) ).
fof(f69,plain,
( sk_c5 != sF1
| spl11_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f774,plain,
( sk_c5 = sF1
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f773,f576]) ).
fof(f773,plain,
( sk_c6 = sF1
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f772,f93]) ).
fof(f772,plain,
( sF1 = sF7
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f766,f694]) ).
fof(f766,plain,
( sF7 = inverse(identity)
| ~ spl11_14 ),
inference(superposition,[],[f36,f421]) ).
fof(f421,plain,
( identity = sk_c1
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f420,plain,
( spl11_14
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f765,plain,
( spl11_14
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f764,f103,f91,f86,f78,f74,f58,f420]) ).
fof(f764,plain,
( identity = sk_c1
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f763,f2]) ).
fof(f763,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f755,f637]) ).
fof(f755,plain,
( sk_c1 = multiply(inverse(sk_c5),identity)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f175,f613]) ).
fof(f613,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f532,f576]) ).
fof(f532,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl11_9 ),
inference(superposition,[],[f122,f93]) ).
fof(f122,plain,
identity = multiply(sF7,sk_c1),
inference(superposition,[],[f2,f36]) ).
fof(f519,plain,
( ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f517,f475]) ).
fof(f475,plain,
( identity = sk_c5
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f474,f457]) ).
fof(f457,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6 ),
inference(superposition,[],[f124,f357]) ).
fof(f357,plain,
( sk_c5 = sk_c4
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6 ),
inference(forward_demodulation,[],[f79,f191]) ).
fof(f191,plain,
( sk_c5 = sF3
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f29,f187]) ).
fof(f187,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f183,f75]) ).
fof(f183,plain,
( sk_c5 = multiply(sk_c5,sF4)
| ~ spl11_3 ),
inference(superposition,[],[f179,f31]) ).
fof(f179,plain,
( ! [X13] : multiply(sk_c5,multiply(sk_c4,X13)) = X13
| ~ spl11_3 ),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f158,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c5,multiply(sk_c4,X13))
| ~ spl11_3 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f120,f68]) ).
fof(f120,plain,
identity = multiply(sF1,sk_c4),
inference(superposition,[],[f2,f26]) ).
fof(f474,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f473,f105]) ).
fof(f473,plain,
( sk_c5 = multiply(sF5,sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f471,f33]) ).
fof(f471,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8 ),
inference(superposition,[],[f175,f463]) ).
fof(f463,plain,
( sk_c5 = multiply(sk_c2,sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f453,f88]) ).
fof(f453,plain,
( sF0 = multiply(sk_c2,sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6 ),
inference(superposition,[],[f25,f357]) ).
fof(f517,plain,
( identity != sk_c5
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f516,f490]) ).
fof(f490,plain,
( identity = inverse(identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f464,f475]) ).
fof(f464,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6 ),
inference(forward_demodulation,[],[f454,f68]) ).
fof(f454,plain,
( sF1 = inverse(sk_c5)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6 ),
inference(superposition,[],[f26,f357]) ).
fof(f516,plain,
( sk_c5 != inverse(identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7 ),
inference(subsumption_resolution,[],[f510,f357]) ).
fof(f510,plain,
( sk_c5 != inverse(identity)
| sk_c5 != sk_c4
| ~ spl11_7 ),
inference(superposition,[],[f83,f126]) ).
fof(f126,plain,
sk_c4 = sF9(identity),
inference(superposition,[],[f46,f1]) ).
fof(f83,plain,
( ! [X4] :
( sk_c5 != sF9(X4)
| sk_c5 != inverse(X4) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_7
<=> ! [X4] :
( sk_c5 != sF9(X4)
| sk_c5 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f438,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f436,f254]) ).
fof(f254,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f253,f217]) ).
fof(f217,plain,
( identity = sk_c6
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f216,f2]) ).
fof(f216,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f205,f191]) ).
fof(f253,plain,
( sk_c6 = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f252,f64]) ).
fof(f64,plain,
( sk_c6 = sF6
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl11_2
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f252,plain,
( inverse(identity) = sF6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f34,f219]) ).
fof(f219,plain,
( identity = sk_c3
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f218,f2]) ).
fof(f218,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f208,f217]) ).
fof(f208,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl11_2 ),
inference(superposition,[],[f175,f125]) ).
fof(f125,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f121,f64]) ).
fof(f121,plain,
identity = multiply(sF6,sk_c3),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
inverse(sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f436,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f435,f254]) ).
fof(f435,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f410,f235]) ).
fof(f235,plain,
( identity = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f234,f1]) ).
fof(f234,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f233,f217]) ).
fof(f233,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f232,f64]) ).
fof(f232,plain,
( sk_c5 = multiply(sF6,identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f231,f34]) ).
fof(f231,plain,
( sk_c5 = multiply(inverse(sk_c3),identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f230,f217]) ).
fof(f230,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c6)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f210,f97]) ).
fof(f97,plain,
( sk_c6 = sF2
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl11_10
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f210,plain,
sk_c5 = multiply(inverse(sk_c3),sF2),
inference(superposition,[],[f175,f28]) ).
fof(f28,plain,
multiply(sk_c3,sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f410,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5 ),
inference(trivial_inequality_removal,[],[f406]) ).
fof(f406,plain,
( identity != identity
| identity != inverse(inverse(sk_c5))
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5 ),
inference(superposition,[],[f387,f139]) ).
fof(f139,plain,
identity = sF10(inverse(sk_c5)),
inference(superposition,[],[f47,f2]) ).
fof(f387,plain,
( ! [X3] :
( identity != sF10(X3)
| identity != inverse(X3) )
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5 ),
inference(forward_demodulation,[],[f386,f217]) ).
fof(f386,plain,
( ! [X3] :
( identity != sF10(X3)
| sk_c6 != inverse(X3) )
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5 ),
inference(forward_demodulation,[],[f72,f217]) ).
fof(f385,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f367,f254]) ).
fof(f367,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f363,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(superposition,[],[f356,f267]) ).
fof(f267,plain,
( identity = sF9(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(superposition,[],[f132,f235]) ).
fof(f132,plain,
( identity = sF9(sk_c5)
| ~ spl11_3 ),
inference(superposition,[],[f124,f46]) ).
fof(f356,plain,
( ! [X4] :
( identity != sF9(X4)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f355,f235]) ).
fof(f355,plain,
( ! [X4] :
( identity != sF9(X4)
| sk_c5 != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f83,f235]) ).
fof(f353,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| spl11_6
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| spl11_6
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f343,f235]) ).
fof(f343,plain,
( identity != sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| spl11_6
| ~ spl11_10 ),
inference(superposition,[],[f193,f302]) ).
fof(f302,plain,
( identity = sk_c4
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f301,f1]) ).
fof(f301,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f300,f219]) ).
fof(f300,plain,
( sk_c4 = multiply(sk_c3,identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f299,f126]) ).
fof(f299,plain,
( multiply(sk_c3,identity) = sF9(identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f298,f217]) ).
fof(f298,plain,
( multiply(sk_c3,identity) = sF9(sk_c6)
| ~ spl11_3
| ~ spl11_10 ),
inference(forward_demodulation,[],[f290,f46]) ).
fof(f290,plain,
( multiply(sk_c3,identity) = multiply(sk_c6,sk_c4)
| ~ spl11_3
| ~ spl11_10 ),
inference(superposition,[],[f171,f124]) ).
fof(f171,plain,
( ! [X16] : multiply(sk_c3,multiply(sk_c5,X16)) = multiply(sk_c6,X16)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f161,f97]) ).
fof(f161,plain,
! [X16] : multiply(sk_c3,multiply(sk_c5,X16)) = multiply(sF2,X16),
inference(superposition,[],[f3,f28]) ).
fof(f193,plain,
( sk_c5 != sk_c4
| ~ spl11_3
| ~ spl11_5
| spl11_6 ),
inference(superposition,[],[f80,f191]) ).
fof(f80,plain,
( sk_c4 != sF3
| spl11_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f119,plain,
( spl11_2
| spl11_11 ),
inference(avatar_split_clause,[],[f35,f103,f62]) ).
fof(f35,plain,
( sk_c5 = sF5
| sk_c6 = sF6 ),
inference(definition_folding,[],[f18,f34,f33]) ).
fof(f18,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f118,plain,
( spl11_5
| spl11_9 ),
inference(avatar_split_clause,[],[f43,f91,f74]) ).
fof(f43,plain,
( sk_c6 = sF7
| sk_c6 = sF4 ),
inference(definition_folding,[],[f9,f36,f31]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f117,plain,
( spl11_10
| spl11_6 ),
inference(avatar_split_clause,[],[f30,f78,f95]) ).
fof(f30,plain,
( sk_c4 = sF3
| sk_c6 = sF2 ),
inference(definition_folding,[],[f7,f29,f28]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c3,sk_c5)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f116,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f56,f103,f67]) ).
fof(f56,plain,
( sk_c5 = sF5
| sk_c5 = sF1 ),
inference(definition_folding,[],[f16,f26,f33]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f115,plain,
( spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f37,f91,f67]) ).
fof(f37,plain,
( sk_c6 = sF7
| sk_c5 = sF1 ),
inference(definition_folding,[],[f8,f36,f26]) ).
fof(f8,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f114,plain,
( spl11_10
| spl11_8 ),
inference(avatar_split_clause,[],[f55,f86,f95]) ).
fof(f55,plain,
( sk_c5 = sF0
| sk_c6 = sF2 ),
inference(definition_folding,[],[f23,f28,f25]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c6 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f113,plain,
( spl11_1
| spl11_10 ),
inference(avatar_split_clause,[],[f49,f95,f58]) ).
fof(f49,plain,
( sk_c6 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f15,f39,f28]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c3,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f112,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f50,f78,f74]) ).
fof(f50,plain,
( sk_c4 = sF3
| sk_c6 = sF4 ),
inference(definition_folding,[],[f5,f31,f29]) ).
fof(f5,axiom,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f111,plain,
( spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f54,f91,f62]) ).
fof(f54,plain,
( sk_c6 = sF7
| sk_c6 = sF6 ),
inference(definition_folding,[],[f10,f34,f36]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f110,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f53,f95,f103]) ).
fof(f53,plain,
( sk_c6 = sF2
| sk_c5 = sF5 ),
inference(definition_folding,[],[f19,f28,f33]) ).
fof(f19,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f109,plain,
( spl11_5
| spl11_1 ),
inference(avatar_split_clause,[],[f44,f58,f74]) ).
fof(f44,plain,
( sk_c6 = sF8
| sk_c6 = sF4 ),
inference(definition_folding,[],[f13,f31,f39]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f108,plain,
( spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f27,f86,f67]) ).
fof(f27,plain,
( sk_c5 = sF0
| sk_c5 = sF1 ),
inference(definition_folding,[],[f20,f26,f25]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f107,plain,
( spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f51,f67,f78]) ).
fof(f51,plain,
( sk_c5 = sF1
| sk_c4 = sF3 ),
inference(definition_folding,[],[f4,f29,f26]) ).
fof(f4,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f106,plain,
( spl11_11
| spl11_5 ),
inference(avatar_split_clause,[],[f42,f74,f103]) ).
fof(f42,plain,
( sk_c6 = sF4
| sk_c5 = sF5 ),
inference(definition_folding,[],[f17,f31,f33]) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f101,plain,
( spl11_8
| spl11_5 ),
inference(avatar_split_clause,[],[f32,f74,f86]) ).
fof(f32,plain,
( sk_c6 = sF4
| sk_c5 = sF0 ),
inference(definition_folding,[],[f21,f31,f25]) ).
fof(f21,axiom,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f100,plain,
( spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f40,f58,f67]) ).
fof(f40,plain,
( sk_c6 = sF8
| sk_c5 = sF1 ),
inference(definition_folding,[],[f12,f39,f26]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f99,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f45,f78,f62]) ).
fof(f45,plain,
( sk_c4 = sF3
| sk_c6 = sF6 ),
inference(definition_folding,[],[f6,f29,f34]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f98,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f38,f95,f91]) ).
fof(f38,plain,
( sk_c6 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f11,f28,f36]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f89,plain,
( spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f41,f86,f62]) ).
fof(f41,plain,
( sk_c5 = sF0
| sk_c6 = sF6 ),
inference(definition_folding,[],[f22,f25,f34]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f84,plain,
( ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_6
| spl11_4
| spl11_7 ),
inference(avatar_split_clause,[],[f48,f82,f71,f78,f74,f71,f67]) ).
fof(f48,plain,
! [X3,X4,X5] :
( sk_c5 != sF9(X4)
| sk_c6 != sF10(X5)
| sk_c5 != inverse(X4)
| sk_c4 != sF3
| sk_c6 != sF4
| sk_c6 != inverse(X3)
| sk_c6 != sF10(X3)
| sk_c6 != inverse(X5)
| sk_c5 != sF1 ),
inference(definition_folding,[],[f24,f47,f29,f47,f31,f26,f46]) ).
fof(f24,axiom,
! [X3,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X4,sk_c4)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| multiply(sk_c5,sk_c6) != sk_c4
| sk_c6 != multiply(X5,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f65,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f52,f62,f58]) ).
fof(f52,plain,
( sk_c6 = sF6
| sk_c6 = sF8 ),
inference(definition_folding,[],[f14,f34,f39]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP348-1 : 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
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:26:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (21627)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)
% 0.19/0.49 % (21631)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)
% 0.19/0.50 % (21643)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (21639)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (21632)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (21636)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (21648)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)
% 0.19/0.51 % (21635)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (21650)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.52 % (21628)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)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (21637)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)
% 0.19/0.52 % (21638)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (21639)First to succeed.
% 0.19/0.52 % (21647)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (21644)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (21640)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)
% 1.44/0.53 % (21626)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)
% 1.44/0.53 TRYING [1]
% 1.44/0.53 TRYING [2]
% 1.44/0.53 % (21630)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.53 % (21629)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)
% 1.44/0.53 % (21639)Refutation found. Thanks to Tanya!
% 1.44/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.53 % (21639)------------------------------
% 1.44/0.53 % (21639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (21639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53 % (21639)Termination reason: Refutation
% 1.44/0.53
% 1.44/0.53 % (21639)Memory used [KB]: 5884
% 1.44/0.53 % (21639)Time elapsed: 0.122 s
% 1.44/0.53 % (21639)Instructions burned: 26 (million)
% 1.44/0.53 % (21639)------------------------------
% 1.44/0.53 % (21639)------------------------------
% 1.44/0.53 % (21625)Success in time 0.188 s
%------------------------------------------------------------------------------