TSTP Solution File: GRP262-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP262-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n023.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 16:15:05 EDT 2022
% Result : Unsatisfiable 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 46
% Syntax : Number of formulae : 257 ( 4 unt; 0 def)
% Number of atoms : 1107 ( 268 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1682 ( 832 ~; 833 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f686,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f47,f52,f53,f58,f67,f72,f73,f74,f79,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f105,f106,f107,f245,f256,f262,f268,f276,f394,f492,f493,f532,f565,f614,f631,f663,f679,f685]) ).
fof(f685,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f684,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f683]) ).
fof(f683,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f682,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f682,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f681]) ).
fof(f681,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f680,f608]) ).
fof(f608,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f570,f607]) ).
fof(f607,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f601,f603]) ).
fof(f603,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f578,f599]) ).
fof(f599,plain,
( ! [X1] : multiply(sk_c7,X1) = X1
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f592,f296]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f295,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f281]) ).
fof(f281,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f2,f66]) ).
fof(f66,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
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(f592,plain,
( ! [X1] : multiply(sk_c7,X1) = multiply(sk_c7,multiply(sk_c3,X1))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f504,f458]) ).
fof(f458,plain,
( sk_c7 = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl0_19
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f504,plain,
( ! [X1] : multiply(sk_c6,X1) = multiply(sk_c6,multiply(sk_c3,X1))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18 ),
inference(backward_demodulation,[],[f466,f452]) ).
fof(f452,plain,
( sk_c6 = sk_c5
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl0_18
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f466,plain,
( ! [X1] : multiply(sk_c6,X1) = multiply(sk_c5,multiply(sk_c3,X1))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f282,f296]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_1 ),
inference(superposition,[],[f3,f33]) ).
fof(f33,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f578,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl0_10
| ~ spl0_19 ),
inference(backward_demodulation,[],[f288,f458]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f78]) ).
fof(f78,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f601,plain,
( sk_c4 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f555,f599]) ).
fof(f555,plain,
( multiply(sk_c3,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f288,f279]) ).
fof(f279,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_3
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f570,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_3
| ~ spl0_19 ),
inference(backward_demodulation,[],[f42,f458]) ).
fof(f680,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f101,f458]) ).
fof(f101,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_13
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f679,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f677]) ).
fof(f677,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f676,f1]) ).
fof(f676,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f675]) ).
fof(f675,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f634,f608]) ).
fof(f634,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f633,f458]) ).
fof(f633,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f632,f458]) ).
fof(f632,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f104,f462]) ).
fof(f462,plain,
( sk_c7 = sk_c5
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl0_20
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f104,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_14
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f663,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f661]) ).
fof(f661,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f653,f1]) ).
fof(f653,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f571,f639]) ).
fof(f639,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f599,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f571,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| spl0_5
| ~ spl0_19 ),
inference(backward_demodulation,[],[f50,f458]) ).
fof(f50,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_5
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f631,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f629]) ).
fof(f629,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f627,f608]) ).
fof(f627,plain,
( sk_c7 != inverse(identity)
| ~ spl0_12
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f626]) ).
fof(f626,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c7
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f533,f458]) ).
fof(f533,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl0_12 ),
inference(superposition,[],[f98,f1]) ).
fof(f98,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_12
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f614,plain,
( spl0_20
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f584,f457,f451,f461]) ).
fof(f584,plain,
( sk_c7 = sk_c5
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f452,f458]) ).
fof(f565,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f564,f76,f64,f55,f40,f31,f457]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f564,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f563,f78]) ).
fof(f563,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f552,f427]) ).
fof(f427,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f296,f78]) ).
fof(f552,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f288,f490]) ).
fof(f490,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f482,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f482,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f285,f473]) ).
fof(f473,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f468,f307]) ).
fof(f307,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f294,f57]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f279]) ).
fof(f468,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f282,f427]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f57]) ).
fof(f532,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f530,plain,
( sk_c6 != sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f528,f495]) ).
fof(f495,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_6
| ~ spl0_18 ),
inference(backward_demodulation,[],[f57,f452]) ).
fof(f528,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f526]) ).
fof(f526,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| sk_c6 != sk_c6
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f497,f42]) ).
fof(f497,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c6) )
| ~ spl0_11
| ~ spl0_18 ),
inference(backward_demodulation,[],[f95,f452]) ).
fof(f95,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f493,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f474,f76,f69,f64,f55,f40,f31,f451]) ).
fof(f69,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f474,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f70,f473]) ).
fof(f70,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl0_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f492,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f491,f76,f64,f55,f40,f31,f451]) ).
fof(f491,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f33,f490]) ).
fof(f394,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f392]) ).
fof(f392,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f390,f1]) ).
fof(f390,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f365,f384]) ).
fof(f384,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f324,f358]) ).
fof(f358,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f109,f355]) ).
fof(f355,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f314,f351]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f144,f333]) ).
fof(f333,plain,
( ! [X1] : multiply(sk_c1,X1) = X1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f324,f114]) ).
fof(f114,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f108]) ).
fof(f144,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f111,f114]) ).
fof(f111,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f51]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f314,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f71,f310]) ).
fof(f310,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f307,f150]) ).
fof(f150,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f145,f51]) ).
fof(f145,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f111,f117]) ).
fof(f117,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f114,f51]) ).
fof(f71,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f109,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f323,f114]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f120,f318]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f316,f283]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f282,f164]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f160,f144]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f112,f114]) ).
fof(f112,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f71]) ).
fof(f316,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f112,f310]) ).
fof(f120,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f3,f117]) ).
fof(f365,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f312,f355]) ).
fof(f312,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f45,f310]) ).
fof(f45,plain,
( sk_c5 != multiply(sk_c2,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_4
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f276,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f273,f1]) ).
fof(f273,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f272]) ).
fof(f272,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f271,f224]) ).
fof(f224,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f198,f223]) ).
fof(f223,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f216,f211]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f181,f210]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f209,f179]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f176,f114]) ).
fof(f176,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f120,f173]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f167,f144]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f124,f164]) ).
fof(f124,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f3,f121]) ).
fof(f121,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f116,f46]) ).
fof(f46,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f109]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f173,f190]) ).
fof(f190,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f179,f117]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f168,f173]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(backward_demodulation,[],[f110,f164]) ).
fof(f110,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f46]) ).
fof(f216,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f172,f210]) ).
fof(f172,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f125,f164]) ).
fof(f125,plain,
( multiply(sk_c2,identity) = multiply(sk_c5,sk_c2)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f110,f109]) ).
fof(f198,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f62,f190]) ).
fof(f271,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f270,f190]) ).
fof(f270,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f269,f217]) ).
fof(f217,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f207,f212]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f166,f210]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f133,f164]) ).
fof(f133,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c5,X0)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f3,f132]) ).
fof(f132,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f127,f46]) ).
fof(f127,plain,
( multiply(sk_c2,sk_c6) = multiply(sk_c5,sk_c5)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f110,f121]) ).
fof(f207,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f153,f190]) ).
fof(f153,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f151,f46]) ).
fof(f151,plain,
( multiply(sk_c2,sk_c6) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f110,f150]) ).
fof(f269,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c7 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f104,f190]) ).
fof(f268,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f265,f1]) ).
fof(f265,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f264,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f263,f224]) ).
fof(f263,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f101,f190]) ).
fof(f262,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f260]) ).
fof(f260,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f259,f1]) ).
fof(f259,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f257,f224]) ).
fof(f257,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f98,f190]) ).
fof(f256,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f253,f1]) ).
fof(f253,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f252]) ).
fof(f252,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f248,f224]) ).
fof(f248,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f247,f217]) ).
fof(f247,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f246,f190]) ).
fof(f246,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f95,f190]) ).
fof(f245,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
( sk_c7 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f231,f217]) ).
fof(f231,plain,
( sk_c7 != sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f195,f179]) ).
fof(f195,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f32,f190]) ).
fof(f32,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f107,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f44,f76]) ).
fof(f16,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f106,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f69,f55]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f105,plain,
( spl0_11
| spl0_12
| ~ spl0_9
| spl0_13
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f29,f31,f103,f100,f69,f97,f94]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c5 != multiply(X4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f92,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f25,f64,f69]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f91,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f49,f76]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f90,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f24,f69,f31]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f89,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f40,f49]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f88,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f60,f40]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f87,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f49,f55]) ).
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(f86,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f19,f31,f60]) ).
fof(f19,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f85,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f64,f44]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f84,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f76,f35]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f83,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f64,f35]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f82,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f35,f40]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f81,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f26,f76,f69]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f80,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f35,f55]) ).
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(f79,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f60,f76]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f74,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f5,f64,f49]) ).
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(f73,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f55,f60]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f72,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f69,f40]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f67,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f20,f64,f60]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f58,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f44,f55]) ).
fof(f18,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f53,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f14,f31,f44]) ).
fof(f14,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f52,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f49,f31]) ).
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(f47,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f44,f40]) ).
fof(f17,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f31]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP262-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n023.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 22:44:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (29805)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.49 % (29805)Instruction limit reached!
% 0.21/0.49 % (29805)------------------------------
% 0.21/0.49 % (29805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (29812)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.49 % (29805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (29805)Termination reason: Unknown
% 0.21/0.49 % (29805)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (29805)Memory used [KB]: 5884
% 0.21/0.49 % (29805)Time elapsed: 0.086 s
% 0.21/0.49 % (29805)Instructions burned: 5 (million)
% 0.21/0.49 % (29805)------------------------------
% 0.21/0.49 % (29805)------------------------------
% 0.21/0.50 % (29812)Instruction limit reached!
% 0.21/0.50 % (29812)------------------------------
% 0.21/0.50 % (29812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (29812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (29812)Termination reason: Unknown
% 0.21/0.50 % (29812)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (29812)Memory used [KB]: 6012
% 0.21/0.50 % (29812)Time elapsed: 0.089 s
% 0.21/0.50 % (29812)Instructions burned: 7 (million)
% 0.21/0.50 % (29812)------------------------------
% 0.21/0.50 % (29812)------------------------------
% 0.21/0.52 % (29797)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.53 % (29796)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (29797)Refutation not found, incomplete strategy% (29797)------------------------------
% 0.21/0.53 % (29797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29797)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (29797)Memory used [KB]: 5884
% 0.21/0.53 % (29797)Time elapsed: 0.125 s
% 0.21/0.53 % (29797)Instructions burned: 3 (million)
% 0.21/0.53 % (29797)------------------------------
% 0.21/0.53 % (29797)------------------------------
% 0.21/0.53 % (29796)Refutation not found, incomplete strategy% (29796)------------------------------
% 0.21/0.53 % (29796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29796)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (29796)Memory used [KB]: 5884
% 0.21/0.53 % (29796)Time elapsed: 0.122 s
% 0.21/0.53 % (29796)Instructions burned: 3 (million)
% 0.21/0.53 % (29796)------------------------------
% 0.21/0.53 % (29796)------------------------------
% 0.21/0.53 % (29798)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (29822)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (29793)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (29809)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (29811)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.53 % (29815)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (29794)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (29806)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (29806)Instruction limit reached!
% 0.21/0.53 % (29806)------------------------------
% 0.21/0.53 % (29806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29806)Termination reason: Unknown
% 0.21/0.53 % (29806)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (29806)Memory used [KB]: 5884
% 0.21/0.53 % (29806)Time elapsed: 0.004 s
% 0.21/0.53 % (29806)Instructions burned: 3 (million)
% 0.21/0.53 % (29806)------------------------------
% 0.21/0.53 % (29806)------------------------------
% 0.21/0.53 % (29810)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53 % (29820)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.54 % (29818)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.54 % (29821)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.54 % (29800)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (29821)Refutation not found, incomplete strategy% (29821)------------------------------
% 0.21/0.54 % (29821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29821)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (29821)Memory used [KB]: 5884
% 0.21/0.54 % (29821)Time elapsed: 0.151 s
% 0.21/0.54 % (29821)Instructions burned: 3 (million)
% 0.21/0.54 % (29821)------------------------------
% 0.21/0.54 % (29821)------------------------------
% 0.21/0.54 % (29800)Refutation not found, incomplete strategy% (29800)------------------------------
% 0.21/0.54 % (29800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29800)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (29800)Memory used [KB]: 5884
% 0.21/0.54 % (29800)Time elapsed: 0.150 s
% 0.21/0.54 % (29800)Instructions burned: 2 (million)
% 0.21/0.54 % (29800)------------------------------
% 0.21/0.54 % (29800)------------------------------
% 0.21/0.54 % (29807)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.54 % (29819)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.54 % (29795)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54 % (29819)Refutation not found, incomplete strategy% (29819)------------------------------
% 0.21/0.54 % (29819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29819)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (29819)Memory used [KB]: 5884
% 0.21/0.54 % (29819)Time elapsed: 0.148 s
% 0.21/0.54 % (29819)Instructions burned: 4 (million)
% 0.21/0.54 % (29819)------------------------------
% 0.21/0.54 % (29819)------------------------------
% 0.21/0.54 % (29816)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (29813)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (29795)Instruction limit reached!
% 0.21/0.54 % (29795)------------------------------
% 0.21/0.54 % (29795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29795)Termination reason: Unknown
% 0.21/0.54 % (29795)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (29795)Memory used [KB]: 5884
% 0.21/0.54 % (29795)Time elapsed: 0.144 s
% 0.21/0.54 % (29795)Instructions burned: 5 (million)
% 0.21/0.54 % (29795)------------------------------
% 0.21/0.54 % (29795)------------------------------
% 0.21/0.54 % (29816)Refutation not found, incomplete strategy% (29816)------------------------------
% 0.21/0.54 % (29816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29816)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (29816)Memory used [KB]: 5884
% 0.21/0.54 % (29816)Time elapsed: 0.146 s
% 0.21/0.54 % (29816)Instructions burned: 2 (million)
% 0.21/0.54 % (29816)------------------------------
% 0.21/0.54 % (29816)------------------------------
% 0.21/0.54 % (29817)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.54 % (29813)Instruction limit reached!
% 0.21/0.54 % (29813)------------------------------
% 0.21/0.54 % (29813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29813)Termination reason: Unknown
% 0.21/0.54 % (29813)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (29813)Memory used [KB]: 1407
% 0.21/0.54 % (29813)Time elapsed: 0.150 s
% 0.21/0.54 % (29813)Instructions burned: 6 (million)
% 0.21/0.54 % (29813)------------------------------
% 0.21/0.54 % (29813)------------------------------
% 0.21/0.54 % (29804)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.54 % (29803)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55 % (29814)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.55 % (29802)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (29799)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55 % (29808)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55 % (29814)Refutation not found, incomplete strategy% (29814)------------------------------
% 0.21/0.55 % (29814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29814)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (29814)Memory used [KB]: 5884
% 0.21/0.55 % (29814)Time elapsed: 0.146 s
% 0.21/0.55 % (29814)Instructions burned: 2 (million)
% 0.21/0.55 % (29814)------------------------------
% 0.21/0.55 % (29814)------------------------------
% 0.21/0.55 % (29808)Instruction limit reached!
% 0.21/0.55 % (29808)------------------------------
% 0.21/0.55 % (29808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29808)Termination reason: Unknown
% 0.21/0.55 % (29808)Termination phase: Finite model building preprocessing
% 0.21/0.55
% 0.21/0.55 % (29808)Memory used [KB]: 6012
% 0.21/0.55 % (29808)Time elapsed: 0.005 s
% 0.21/0.55 % (29808)Instructions burned: 6 (million)
% 0.21/0.55 % (29808)------------------------------
% 0.21/0.55 % (29808)------------------------------
% 0.21/0.55 % (29801)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (29809)Instruction limit reached!
% 0.21/0.55 % (29809)------------------------------
% 0.21/0.55 % (29809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29809)Termination reason: Unknown
% 0.21/0.55 % (29809)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (29809)Memory used [KB]: 5884
% 0.21/0.55 % (29809)Time elapsed: 0.002 s
% 0.21/0.55 % (29809)Instructions burned: 2 (million)
% 0.21/0.55 % (29809)------------------------------
% 0.21/0.55 % (29809)------------------------------
% 0.21/0.55 % (29801)Instruction limit reached!
% 0.21/0.55 % (29801)------------------------------
% 0.21/0.55 % (29801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29801)Termination reason: Unknown
% 0.21/0.55 % (29801)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (29801)Memory used [KB]: 5884
% 0.21/0.55 % (29801)Time elapsed: 0.157 s
% 0.21/0.55 % (29801)Instructions burned: 4 (million)
% 0.21/0.55 % (29801)------------------------------
% 0.21/0.55 % (29801)------------------------------
% 0.21/0.55 % (29818)Refutation not found, incomplete strategy% (29818)------------------------------
% 0.21/0.55 % (29818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29818)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (29818)Memory used [KB]: 6012
% 0.21/0.55 % (29818)Time elapsed: 0.140 s
% 0.21/0.55 % (29818)Instructions burned: 9 (million)
% 0.21/0.55 % (29818)------------------------------
% 0.21/0.55 % (29818)------------------------------
% 0.21/0.56 % (29810)Instruction limit reached!
% 0.21/0.56 % (29810)------------------------------
% 0.21/0.56 % (29810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (29810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (29810)Termination reason: Unknown
% 0.21/0.56 % (29810)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (29810)Memory used [KB]: 6012
% 0.21/0.56 % (29810)Time elapsed: 0.169 s
% 0.21/0.56 % (29810)Instructions burned: 10 (million)
% 0.21/0.56 % (29810)------------------------------
% 0.21/0.56 % (29810)------------------------------
% 0.21/0.56 % (29803)Instruction limit reached!
% 0.21/0.56 % (29803)------------------------------
% 0.21/0.56 % (29803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (29803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (29803)Termination reason: Unknown
% 0.21/0.56 % (29803)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (29803)Memory used [KB]: 6012
% 0.21/0.56 % (29803)Time elapsed: 0.151 s
% 0.21/0.56 % (29803)Instructions burned: 7 (million)
% 0.21/0.56 % (29803)------------------------------
% 0.21/0.56 % (29803)------------------------------
% 0.21/0.57 % (29798)Instruction limit reached!
% 0.21/0.57 % (29798)------------------------------
% 0.21/0.57 % (29798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (29798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (29798)Termination reason: Unknown
% 0.21/0.57 % (29798)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (29798)Memory used [KB]: 6140
% 0.21/0.57 % (29798)Time elapsed: 0.179 s
% 0.21/0.57 % (29798)Instructions burned: 26 (million)
% 0.21/0.57 % (29798)------------------------------
% 0.21/0.57 % (29798)------------------------------
% 0.21/0.57 % (29804)Instruction limit reached!
% 0.21/0.57 % (29804)------------------------------
% 0.21/0.57 % (29804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (29804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (29804)Termination reason: Unknown
% 0.21/0.57 % (29804)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (29804)Memory used [KB]: 6396
% 0.21/0.57 % (29804)Time elapsed: 0.186 s
% 0.21/0.57 % (29804)Instructions burned: 25 (million)
% 0.21/0.57 % (29804)------------------------------
% 0.21/0.57 % (29804)------------------------------
% 0.21/0.58 % (29811)First to succeed.
% 0.21/0.59 % (29811)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (29811)------------------------------
% 0.21/0.59 % (29811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (29811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (29811)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (29811)Memory used [KB]: 10618
% 0.21/0.59 % (29811)Time elapsed: 0.176 s
% 0.21/0.59 % (29811)Instructions burned: 21 (million)
% 0.21/0.59 % (29811)------------------------------
% 0.21/0.59 % (29811)------------------------------
% 0.21/0.59 % (29792)Success in time 0.242 s
%------------------------------------------------------------------------------