TSTP Solution File: GRP321-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP321-1 : 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 : n024.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 16:15:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 52
% Syntax : Number of formulae : 246 ( 4 unt; 0 def)
% Number of atoms : 977 ( 265 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1432 ( 701 ~; 713 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f652,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f62,f67,f68,f69,f74,f79,f80,f81,f86,f87,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f118,f119,f120,f121,f122,f165,f259,f265,f272,f278,f408,f490,f566,f590,f591,f606,f613,f627,f634,f640,f649]) ).
fof(f649,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f646]) ).
fof(f646,plain,
( sk_c7 != sk_c7
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f645,f482]) ).
fof(f482,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f468,f66]) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f468,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f286,f374]) ).
fof(f374,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f296,f66]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f295,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f282]) ).
fof(f282,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
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(f286,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_7 ),
inference(superposition,[],[f3,f66]) ).
fof(f645,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f644,f1]) ).
fof(f644,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f643]) ).
fof(f643,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| sk_c7 != sk_c7
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f642,f397]) ).
fof(f397,plain,
( sk_c7 = inverse(identity)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl0_18
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f642,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,multiply(X5,sk_c7)) )
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f641,f401]) ).
fof(f401,plain,
( sk_c7 = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl0_19
<=> sk_c7 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f641,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c8 != inverse(X5) )
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f108,f401]) ).
fof(f108,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_12
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f640,plain,
( ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f638]) ).
fof(f638,plain,
( sk_c7 != sk_c7
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f637,f1]) ).
fof(f637,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f635,f397]) ).
fof(f635,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c7) )
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f117,f607]) ).
fof(f607,plain,
( sk_c7 = sk_c6
| ~ spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f406,f401]) ).
fof(f406,plain,
( sk_c8 = sk_c6
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl0_20
<=> sk_c8 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f117,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_15
<=> ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f634,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f632]) ).
fof(f632,plain,
( sk_c7 != sk_c7
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f631,f1]) ).
fof(f631,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f630]) ).
fof(f630,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f619,f397]) ).
fof(f619,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f618,f401]) ).
fof(f618,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f114,f401]) ).
fof(f114,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_14
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f627,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f625]) ).
fof(f625,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f612,f1]) ).
fof(f612,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f593,f401]) ).
fof(f593,plain,
( sk_c7 != multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(backward_demodulation,[],[f585,f592]) ).
fof(f592,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f546,f577]) ).
fof(f577,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(backward_demodulation,[],[f522,f569]) ).
fof(f569,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(backward_demodulation,[],[f518,f567]) ).
fof(f567,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f565,f1]) ).
fof(f565,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f511,f544]) ).
fof(f544,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f516,f280]) ).
fof(f280,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f516,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f496,f513]) ).
fof(f513,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f294,f511]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f280]) ).
fof(f496,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f371,f406]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f3,f362]) ).
fof(f362,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f294,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f503,f497]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_20 ),
inference(backward_demodulation,[],[f424,f406]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f283,f294]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_1 ),
inference(superposition,[],[f3,f39]) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f440,f406]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f284,f294]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_5 ),
inference(superposition,[],[f3,f57]) ).
fof(f518,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(backward_demodulation,[],[f286,f516]) ).
fof(f522,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(backward_demodulation,[],[f470,f516]) ).
fof(f470,plain,
( multiply(sk_c4,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f286,f282]) ).
fof(f546,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f516,f521]) ).
fof(f521,plain,
( sk_c4 = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(backward_demodulation,[],[f478,f516]) ).
fof(f478,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f473,f470]) ).
fof(f473,plain,
( multiply(sk_c4,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f286,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f585,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_20 ),
inference(backward_demodulation,[],[f51,f578]) ).
fof(f578,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_20 ),
inference(backward_demodulation,[],[f523,f569]) ).
fof(f523,plain,
( sk_c3 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_20 ),
inference(backward_demodulation,[],[f472,f516]) ).
fof(f472,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c7,sk_c3)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f286,f91]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_11
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f51,plain,
( sk_c3 != multiply(sk_c2,sk_c8)
| spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_4
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f613,plain,
( ~ spl0_19
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f561,f405,f71,f59,f55,f46,f37,f400]) ).
fof(f59,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f71,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f561,plain,
( sk_c7 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f554,f1]) ).
fof(f554,plain,
( sk_c8 != multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f60,f550]) ).
fof(f550,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f124,f516]) ).
fof(f124,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f60,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f606,plain,
( ~ spl0_19
| ~ spl0_3
| ~ spl0_5
| spl0_9
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f529,f405,f76,f55,f46,f400]) ).
fof(f76,plain,
( spl0_9
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f529,plain,
( sk_c7 != sk_c8
| ~ spl0_3
| ~ spl0_5
| spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f492,f495]) ).
fof(f495,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f362,f406]) ).
fof(f492,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| spl0_9
| ~ spl0_20 ),
inference(backward_demodulation,[],[f77,f406]) ).
fof(f77,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f591,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f543,f405,f55,f46,f37,f400]) ).
fof(f543,plain,
( sk_c7 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f516,f495]) ).
fof(f590,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f589,f405,f83,f64,f55,f46,f37,f400]) ).
fof(f589,plain,
( sk_c7 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f564,f1]) ).
fof(f564,plain,
( sk_c8 = multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(backward_demodulation,[],[f488,f544]) ).
fof(f488,plain,
( sk_c8 = multiply(sk_c5,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f483,f39]) ).
fof(f483,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f284,f482]) ).
fof(f566,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f562,f405,f55,f46,f37,f396]) ).
fof(f562,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f48,f544]) ).
fof(f490,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f489,f83,f64,f55,f37,f405]) ).
fof(f489,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f57,f488]) ).
fof(f408,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f383,f110,f55,f405,f46]) ).
fof(f110,plain,
( spl0_13
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f383,plain,
( sk_c8 != sk_c6
| sk_c7 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f111,f57]) ).
fof(f111,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f278,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f275,f1]) ).
fof(f275,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f273,f228]) ).
fof(f228,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f138,f226]) ).
fof(f226,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f143,f209]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f132,f199]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f145,f132]) ).
fof(f145,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(backward_demodulation,[],[f126,f136]) ).
fof(f136,plain,
( sk_c7 = sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f133,f91]) ).
fof(f133,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f130,f52]) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f130,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f123]) ).
fof(f126,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_6 ),
inference(superposition,[],[f3,f61]) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f131,f1]) ).
fof(f131,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f124]) ).
fof(f143,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(backward_demodulation,[],[f123,f136]) ).
fof(f138,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(backward_demodulation,[],[f43,f136]) ).
fof(f273,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f117,f158]) ).
fof(f158,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f141,f156]) ).
fof(f156,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f132,f140]) ).
fof(f140,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(backward_demodulation,[],[f61,f136]) ).
fof(f141,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f78,f136]) ).
fof(f78,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f272,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f269,f1]) ).
fof(f269,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f267,f228]) ).
fof(f267,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f266,f136]) ).
fof(f266,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f114,f136]) ).
fof(f265,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f262,f1]) ).
fof(f262,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f260,f228]) ).
fof(f260,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f111,f136]) ).
fof(f259,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f253,f156]) ).
fof(f253,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f252,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f251,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f169,f228]) ).
fof(f169,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,multiply(X5,sk_c7)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f168,f136]) ).
fof(f168,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f108,f136]) ).
fof(f165,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f164,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f162]) ).
fof(f162,plain,
( sk_c7 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f159,f156]) ).
fof(f159,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f137,f158]) ).
fof(f137,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(backward_demodulation,[],[f38,f136]) ).
fof(f38,plain,
( sk_c8 != multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f122,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f37,f59]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f121,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f71,f83]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f120,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f50,f55]) ).
fof(f26,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f119,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f41,f83]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f118,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f116,f113,f110,f107,f76,f37]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X3)
| sk_c8 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != multiply(X7,sk_c7)
| multiply(X5,sk_c8) != X4
| sk_c8 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f105,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f23,f37,f89]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f104,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f46,f76]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f103,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f64,f89]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f102,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f8,f76,f37]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f101,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f83,f50]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f100,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f64,f59]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f99,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f22,f89,f46]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f98,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f21,f89,f55]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f97,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f83,f76]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f96,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f4,f64,f76]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f95,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f59,f46]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f94,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f18,f37,f71]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f93,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f46,f71]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f92,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f20,f89,f83]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f87,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f71,f55]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f86,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f10,f83,f59]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f81,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f41,f64]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f80,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f41,f46]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f79,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f55,f76]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f74,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f71,f64]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f69,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f55,f41]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f68,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f28,f37,f50]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f67,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f24,f64,f50]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f62,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f59,f55]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f50,f46]) ).
fof(f27,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f41,f37]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP321-1 : 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
% 0.14/0.35 % Computer : n024.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 22:26:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (6121)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (6118)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)
% 0.20/0.53 % (6122)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)
% 0.20/0.53 % (6134)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)
% 0.20/0.54 % (6118)Instruction limit reached!
% 0.20/0.54 % (6118)------------------------------
% 0.20/0.54 % (6118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (6130)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)
% 0.20/0.54 % (6126)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)
% 0.20/0.54 % (6118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6118)Termination reason: Unknown
% 0.20/0.54 % (6118)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (6118)Memory used [KB]: 5884
% 0.20/0.54 % (6118)Time elapsed: 0.123 s
% 0.20/0.54 % (6118)Instructions burned: 5 (million)
% 0.20/0.54 % (6118)------------------------------
% 0.20/0.54 % (6118)------------------------------
% 0.20/0.54 % (6145)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)
% 0.20/0.54 % (6138)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)
% 0.20/0.54 % (6123)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)
% 0.20/0.55 % (6131)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)
% 0.20/0.55 % (6141)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)
% 0.20/0.55 % (6137)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)
% 0.20/0.55 % (6131)Instruction limit reached!
% 0.20/0.55 % (6131)------------------------------
% 0.20/0.55 % (6131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (6126)Instruction limit reached!
% 0.20/0.55 % (6126)------------------------------
% 0.20/0.55 % (6126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (6126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (6126)Termination reason: Unknown
% 0.20/0.55 % (6126)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (6126)Memory used [KB]: 6012
% 0.20/0.55 % (6126)Time elapsed: 0.137 s
% 0.20/0.55 % (6126)Instructions burned: 7 (million)
% 0.20/0.55 % (6126)------------------------------
% 0.20/0.55 % (6126)------------------------------
% 0.20/0.55 % (6116)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.56 % (6121)Instruction limit reached!
% 0.20/0.56 % (6121)------------------------------
% 0.20/0.56 % (6121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6121)Termination reason: Unknown
% 0.20/0.56 % (6121)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (6121)Memory used [KB]: 6140
% 0.20/0.56 % (6121)Time elapsed: 0.139 s
% 0.20/0.56 % (6121)Instructions burned: 25 (million)
% 0.20/0.56 % (6121)------------------------------
% 0.20/0.56 % (6121)------------------------------
% 0.20/0.56 % (6139)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)
% 0.20/0.56 % (6139)Refutation not found, incomplete strategy% (6139)------------------------------
% 0.20/0.56 % (6139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6139)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (6139)Memory used [KB]: 5884
% 0.20/0.56 % (6139)Time elapsed: 0.138 s
% 0.20/0.56 % (6139)Instructions burned: 3 (million)
% 0.20/0.56 % (6139)------------------------------
% 0.20/0.56 % (6139)------------------------------
% 0.20/0.56 % (6117)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)
% 0.20/0.56 % (6119)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)
% 0.20/0.56 % (6120)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)
% 0.20/0.56 % (6119)Refutation not found, incomplete strategy% (6119)------------------------------
% 0.20/0.56 % (6119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6119)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (6119)Memory used [KB]: 5884
% 0.20/0.56 % (6119)Time elapsed: 0.146 s
% 0.20/0.56 % (6119)Instructions burned: 3 (million)
% 0.20/0.56 % (6119)------------------------------
% 0.20/0.56 % (6119)------------------------------
% 0.20/0.56 % (6131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6131)Termination reason: Unknown
% 0.20/0.56 % (6131)Termination phase: Finite model building preprocessing
% 0.20/0.56
% 0.20/0.56 % (6140)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)
% 0.20/0.56 % (6131)Memory used [KB]: 1407
% 0.20/0.56 % (6131)Time elapsed: 0.004 s
% 0.20/0.56 % (6131)Instructions burned: 6 (million)
% 0.20/0.56 % (6131)------------------------------
% 0.20/0.56 % (6131)------------------------------
% 0.20/0.56 % (6134)First to succeed.
% 0.20/0.57 % (6133)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.57 % (6132)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)
% 0.20/0.57 % (6132)Instruction limit reached!
% 0.20/0.57 % (6132)------------------------------
% 0.20/0.57 % (6132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6132)Termination reason: Unknown
% 0.20/0.57 % (6132)Termination phase: Property scanning
% 0.20/0.57
% 0.20/0.57 % (6132)Memory used [KB]: 1279
% 0.20/0.57 % (6132)Time elapsed: 0.002 s
% 0.20/0.57 % (6132)Instructions burned: 2 (million)
% 0.20/0.57 % (6132)------------------------------
% 0.20/0.57 % (6132)------------------------------
% 0.20/0.57 % (6129)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)
% 0.20/0.57 % (6129)Instruction limit reached!
% 0.20/0.57 % (6129)------------------------------
% 0.20/0.57 % (6129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6129)Termination reason: Unknown
% 0.20/0.57 % (6129)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (6129)Memory used [KB]: 5884
% 0.20/0.57 % (6129)Time elapsed: 0.004 s
% 0.20/0.57 % (6129)Instructions burned: 3 (million)
% 0.20/0.57 % (6129)------------------------------
% 0.20/0.57 % (6129)------------------------------
% 0.20/0.57 % (6134)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (6134)------------------------------
% 0.20/0.57 % (6134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6134)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (6134)Memory used [KB]: 10618
% 0.20/0.57 % (6134)Time elapsed: 0.147 s
% 0.20/0.57 % (6134)Instructions burned: 21 (million)
% 0.20/0.57 % (6134)------------------------------
% 0.20/0.57 % (6134)------------------------------
% 0.20/0.57 % (6115)Success in time 0.213 s
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