TSTP Solution File: GRP274-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP274-1 : 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 : n014.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 16:21:07 EDT 2022
% Result : Unsatisfiable 1.56s 0.57s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 236 ( 6 unt; 0 def)
% Number of atoms : 1028 ( 260 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1563 ( 771 ~; 772 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1126,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f58,f63,f83,f88,f93,f94,f95,f99,f100,f101,f106,f107,f108,f109,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f127,f128,f217,f281,f377,f416,f437,f655,f687,f767,f790,f814,f837,f931,f1025,f1125]) ).
fof(f1125,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1123,f312]) ).
fof(f312,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(backward_demodulation,[],[f57,f305]) ).
fof(f305,plain,
( sk_c1 = sk_c7
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(superposition,[],[f256,f253]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_3
| ~ spl3_12 ),
inference(backward_demodulation,[],[f1,f248]) ).
fof(f248,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_12 ),
inference(superposition,[],[f236,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f236,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl3_3
| ~ spl3_12 ),
inference(superposition,[],[f140,f226]) ).
fof(f226,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f224,f87]) ).
fof(f87,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl3_12
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f224,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_3 ),
inference(superposition,[],[f140,f48]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_3
<=> sk_c7 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f140,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f133,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f256,plain,
( sk_c7 = multiply(sk_c7,sk_c1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(backward_demodulation,[],[f219,f248]) ).
fof(f219,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_5 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_5
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f1123,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1119,f312]) ).
fof(f1119,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f1117]) ).
fof(f1117,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f1059,f254]) ).
fof(f254,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl3_3
| ~ spl3_12 ),
inference(backward_demodulation,[],[f2,f248]) ).
fof(f1059,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f126,f838]) ).
fof(f838,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12 ),
inference(backward_demodulation,[],[f260,f273]) ).
fof(f273,plain,
( sk_c7 = sk_c5
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12 ),
inference(backward_demodulation,[],[f260,f261]) ).
fof(f261,plain,
( sk_c7 = sk_c6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12 ),
inference(superposition,[],[f253,f229]) ).
fof(f229,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_5
| ~ spl3_6 ),
inference(forward_demodulation,[],[f227,f57]) ).
fof(f227,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_6 ),
inference(superposition,[],[f140,f62]) ).
fof(f62,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_6
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f260,plain,
( sk_c6 = sk_c5
| ~ spl3_2
| ~ spl3_3
| ~ spl3_12 ),
inference(superposition,[],[f253,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f126,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl3_17
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f1025,plain,
( spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1024,plain,
( $false
| spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1023,f312]) ).
fof(f1023,plain,
( sk_c7 != inverse(sk_c7)
| spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f38,f1014]) ).
fof(f1014,plain,
( sk_c7 = sk_c3
| ~ spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f1007,f254]) ).
fof(f1007,plain,
( ! [X0] : multiply(inverse(sk_c3),X0) = X0
| ~ spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f140,f449]) ).
fof(f449,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f204,f253]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f3,f189]) ).
fof(f189,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f105,f184]) ).
fof(f184,plain,
( sk_c7 = sk_c6
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f160,f159]) ).
fof(f159,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_10 ),
inference(superposition,[],[f140,f78]) ).
fof(f78,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl3_10
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f160,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_4
| ~ spl3_13 ),
inference(superposition,[],[f140,f143]) ).
fof(f143,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_13 ),
inference(superposition,[],[f141,f92]) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl3_13
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f141,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c4,X10)) = X10
| ~ spl3_4 ),
inference(forward_demodulation,[],[f136,f1]) ).
fof(f136,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c4,X10)) = multiply(identity,X10)
| ~ spl3_4 ),
inference(superposition,[],[f3,f130]) ).
fof(f130,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl3_4 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_4
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f105,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_15
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f38,plain,
( sk_c7 != inverse(sk_c3)
| spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_1
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f931,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f930,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f929,f312]) ).
fof(f929,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f841,f920]) ).
fof(f920,plain,
( sk_c7 = sk_c4
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(superposition,[],[f879,f254]) ).
fof(f879,plain,
( ! [X0] : multiply(inverse(sk_c4),X0) = X0
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(superposition,[],[f140,f867]) ).
fof(f867,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f866,f253]) ).
fof(f866,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(superposition,[],[f3,f857]) ).
fof(f857,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f856,f838]) ).
fof(f856,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f92,f273]) ).
fof(f841,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f51,f838]) ).
fof(f51,plain,
( sk_c6 != inverse(sk_c4)
| spl3_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f837,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f822,f637]) ).
fof(f637,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f39,f635]) ).
fof(f635,plain,
( sk_c7 = sk_c3
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f630,f530]) ).
fof(f530,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f193,f211]) ).
fof(f211,plain,
( sk_c7 = sk_c5
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f187,f195]) ).
fof(f195,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f167,f184]) ).
fof(f167,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f162,f39]) ).
fof(f162,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_15 ),
inference(superposition,[],[f140,f105]) ).
fof(f187,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13 ),
inference(backward_demodulation,[],[f78,f184]) ).
fof(f193,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13 ),
inference(backward_demodulation,[],[f159,f184]) ).
fof(f630,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f156,f625]) ).
fof(f625,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f530,f2]) ).
fof(f156,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_1 ),
inference(superposition,[],[f140,f129]) ).
fof(f129,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl3_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f822,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f821]) ).
fof(f821,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_17 ),
inference(superposition,[],[f815,f634]) ).
fof(f634,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f1,f625]) ).
fof(f815,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f126,f184]) ).
fof(f814,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f813,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f799,f637]) ).
fof(f799,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f798]) ).
fof(f798,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f792,f634]) ).
fof(f792,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f791,f211]) ).
fof(f791,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f98,f211]) ).
fof(f98,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl3_14
<=> ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f790,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11
| ~ spl3_13
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f775,f637]) ).
fof(f775,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11
| ~ spl3_13
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f774]) ).
fof(f774,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f768,f634]) ).
fof(f768,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f82,f184]) ).
fof(f82,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl3_11
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f767,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f765,f637]) ).
fof(f765,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f752,f637]) ).
fof(f752,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f747]) ).
fof(f747,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f695,f632]) ).
fof(f632,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f2,f625]) ).
fof(f695,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f694,f184]) ).
fof(f694,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f535,f184]) ).
fof(f535,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f112,f211]) ).
fof(f112,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl3_16
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f687,plain,
( ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f684,f637]) ).
fof(f684,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f56,f676]) ).
fof(f676,plain,
( sk_c1 = sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f667,f632]) ).
fof(f667,plain,
( ! [X0] : multiply(inverse(sk_c1),X0) = X0
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f666,f634]) ).
fof(f666,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c1),multiply(sk_c7,X0))
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13 ),
inference(superposition,[],[f3,f594]) ).
fof(f594,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13 ),
inference(superposition,[],[f140,f582]) ).
fof(f582,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f62,f184]) ).
fof(f56,plain,
( sk_c7 != inverse(sk_c1)
| spl3_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f655,plain,
( ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f652,f572]) ).
fof(f572,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f187,f211]) ).
fof(f652,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f561,f644]) ).
fof(f644,plain,
( sk_c7 = sk_c2
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f631,f634]) ).
fof(f631,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f569,f625]) ).
fof(f569,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f221,f211]) ).
fof(f221,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl3_12 ),
inference(superposition,[],[f2,f87]) ).
fof(f561,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f47,f211]) ).
fof(f47,plain,
( sk_c7 != multiply(sk_c2,sk_c5)
| spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f437,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f425,f312]) ).
fof(f425,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f424,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f419,f253]) ).
fof(f419,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f418,f261]) ).
fof(f418,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f417,f261]) ).
fof(f417,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f112,f273]) ).
fof(f416,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f404,f312]) ).
fof(f404,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f379,f253]) ).
fof(f379,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f378,f273]) ).
fof(f378,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c5 != inverse(X4) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f98,f273]) ).
fof(f377,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f371,f312]) ).
fof(f371,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f370]) ).
fof(f370,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f290,f253]) ).
fof(f290,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f82,f261]) ).
fof(f281,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_10
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_10
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f279,f253]) ).
fof(f279,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f268,f261]) ).
fof(f268,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| ~ spl3_2
| ~ spl3_3
| spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f79,f260]) ).
fof(f79,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl3_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f217,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f215,f195]) ).
fof(f215,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_1
| spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f185,f211]) ).
fof(f185,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_13 ),
inference(backward_demodulation,[],[f42,f184]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f128,plain,
( spl3_13
| spl3_2 ),
inference(avatar_split_clause,[],[f18,f41,f90]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f127,plain,
( spl3_7
| spl3_17 ),
inference(avatar_split_clause,[],[f30,f125,f65]) ).
fof(f65,plain,
( spl3_7
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f30,plain,
! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sP0 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f123,plain,
( spl3_6
| spl3_15 ),
inference(avatar_split_clause,[],[f6,f103,f60]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f122,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f20,f37,f46]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f121,plain,
( spl3_13
| spl3_5 ),
inference(avatar_split_clause,[],[f13,f55,f90]) ).
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(f120,plain,
( spl3_6
| spl3_1 ),
inference(avatar_split_clause,[],[f5,f37,f60]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f119,plain,
( spl3_3
| spl3_10 ),
inference(avatar_split_clause,[],[f19,f77,f46]) ).
fof(f19,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f118,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f10,f55,f37]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f117,plain,
( spl3_12
| spl3_15 ),
inference(avatar_split_clause,[],[f26,f103,f85]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f116,plain,
( spl3_12
| spl3_13 ),
inference(avatar_split_clause,[],[f28,f90,f85]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f115,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f14,f41,f77]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f114,plain,
( spl3_12
| spl3_1 ),
inference(avatar_split_clause,[],[f25,f37,f85]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f113,plain,
( spl3_8
| spl3_16 ),
inference(avatar_split_clause,[],[f32,f111,f69]) ).
fof(f69,plain,
( spl3_8
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f32,plain,
! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sP1
| sk_c6 != inverse(X6) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f109,plain,
( spl3_15
| spl3_2 ),
inference(avatar_split_clause,[],[f16,f41,f103]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f108,plain,
( spl3_3
| spl3_13 ),
inference(avatar_split_clause,[],[f23,f90,f46]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f107,plain,
( spl3_15
| spl3_3 ),
inference(avatar_split_clause,[],[f21,f46,f103]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f106,plain,
( spl3_15
| spl3_5 ),
inference(avatar_split_clause,[],[f11,f55,f103]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f101,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f17,f50,f41]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f100,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f4,f60,f77]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f99,plain,
( spl3_9
| spl3_14 ),
inference(avatar_split_clause,[],[f34,f97,f73]) ).
fof(f73,plain,
( spl3_9
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f34,plain,
! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5)
| sP2 ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f95,plain,
( spl3_10
| spl3_5 ),
inference(avatar_split_clause,[],[f9,f55,f77]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f94,plain,
( spl3_12
| spl3_4 ),
inference(avatar_split_clause,[],[f27,f50,f85]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f93,plain,
( spl3_13
| spl3_6 ),
inference(avatar_split_clause,[],[f8,f60,f90]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f88,plain,
( spl3_12
| spl3_10 ),
inference(avatar_split_clause,[],[f24,f77,f85]) ).
fof(f24,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f83,plain,
( ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_2
| ~ spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f35,f81,f77,f41,f73,f69,f65]) ).
fof(f35,plain,
! [X5] :
( sk_c7 != inverse(X5)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ sP2
| sk_c7 != multiply(X5,sk_c6)
| ~ sP1
| ~ sP0 ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f33,plain,
! [X4,X5] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f31,plain,
! [X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f63,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f60,f50]) ).
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(f58,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f12,f50,f55]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f53,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f22,f50,f46]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f44,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f41,f37]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP274-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:24:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (6612)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 % (6595)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)
% 0.20/0.51 % (6597)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (6590)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 % (6603)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 % (6597)Instruction limit reached!
% 0.20/0.52 % (6597)------------------------------
% 0.20/0.52 % (6597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (6597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (6597)Termination reason: Unknown
% 0.20/0.52 % (6597)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (6597)Memory used [KB]: 5500
% 0.20/0.52 % (6597)Time elapsed: 0.102 s
% 0.20/0.52 % (6597)Instructions burned: 7 (million)
% 0.20/0.52 % (6597)------------------------------
% 0.20/0.52 % (6597)------------------------------
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (6606)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)
% 0.20/0.53 % (6591)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 TRYING [4]
% 0.20/0.53 % (6592)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)
% 0.20/0.53 % (6618)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.37/0.54 % (6600)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54 % (6613)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)
% 1.37/0.54 % (6619)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)
% 1.37/0.54 % (6594)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (6610)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)
% 1.37/0.54 % (6599)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)
% 1.37/0.54 % (6593)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)
% 1.37/0.54 % (6604)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)
% 1.37/0.55 % (6608)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.55 % (6602)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.37/0.55 % (6611)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.37/0.55 % (6616)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)
% 1.37/0.55 % (6596)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)
% 1.37/0.55 % (6609)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)
% 1.37/0.55 % (6601)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)
% 1.56/0.56 % (6607)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.56 % (6615)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.56/0.56 % (6614)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.56 % (6598)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.56/0.56 % (6598)Instruction limit reached!
% 1.56/0.56 % (6598)------------------------------
% 1.56/0.56 % (6598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (6598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (6598)Termination reason: Unknown
% 1.56/0.56 % (6598)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (6598)Memory used [KB]: 5373
% 1.56/0.56 % (6598)Time elapsed: 0.003 s
% 1.56/0.56 % (6598)Instructions burned: 2 (million)
% 1.56/0.56 % (6598)------------------------------
% 1.56/0.56 % (6598)------------------------------
% 1.56/0.56 TRYING [1]
% 1.56/0.57 % (6617)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)
% 1.56/0.57 TRYING [1]
% 1.56/0.57 % (6595)First to succeed.
% 1.56/0.57 TRYING [5]
% 1.56/0.57 TRYING [2]
% 1.56/0.57 % (6595)Refutation found. Thanks to Tanya!
% 1.56/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57 % (6595)------------------------------
% 1.56/0.57 % (6595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (6595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (6595)Termination reason: Refutation
% 1.56/0.57
% 1.56/0.57 % (6595)Memory used [KB]: 5884
% 1.56/0.57 % (6595)Time elapsed: 0.141 s
% 1.56/0.57 % (6595)Instructions burned: 35 (million)
% 1.56/0.57 % (6595)------------------------------
% 1.56/0.57 % (6595)------------------------------
% 1.56/0.57 % (6588)Success in time 0.213 s
%------------------------------------------------------------------------------