TSTP Solution File: GRP304-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP304-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:13 EDT 2022
% Result : Unsatisfiable 1.91s 0.60s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 44
% Syntax : Number of formulae : 234 ( 8 unt; 0 def)
% Number of atoms : 813 ( 234 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1109 ( 530 ~; 560 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f827,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f44,f49,f58,f59,f64,f69,f70,f71,f72,f73,f74,f75,f86,f87,f88,f89,f90,f91,f92,f93,f105,f107,f117,f127,f159,f176,f177,f191,f209,f239,f269,f326,f329,f505,f559,f581,f589,f676,f739,f783,f800,f826]) ).
fof(f826,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_19 ),
inference(subsumption_resolution,[],[f819,f803]) ).
fof(f803,plain,
( identity != sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_19 ),
inference(superposition,[],[f135,f745]) ).
fof(f745,plain,
( sk_c6 = sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f121,f733]) ).
fof(f733,plain,
( sk_c7 = sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f501,f720]) ).
fof(f720,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f409,f719]) ).
fof(f719,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f718,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f718,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f3,f708]) ).
fof(f708,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f591,f337]) ).
fof(f337,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_7
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f591,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f363,f121]) ).
fof(f363,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f63]) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_8
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
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(f409,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f408,f1]) ).
fof(f408,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f338]) ).
fof(f338,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_9
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f501,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f407,f43]) ).
fof(f43,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_4
<=> sk_c4 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f406,f1]) ).
fof(f406,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f337]) ).
fof(f121,plain,
( sk_c7 = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_17
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f135,plain,
( identity != sk_c6
| spl0_19 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_19
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f819,plain,
( identity = sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f2,f812]) ).
fof(f812,plain,
( ! [X7] : multiply(inverse(sk_c4),X7) = X7
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f153,f756]) ).
fof(f756,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f720,f733]) ).
fof(f153,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f800,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_18 ),
inference(subsumption_resolution,[],[f797,f746]) ).
fof(f746,plain,
( sk_c4 != inverse(identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_18 ),
inference(backward_demodulation,[],[f126,f733]) ).
fof(f126,plain,
( sk_c7 != inverse(identity)
| spl0_18 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_18
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f797,plain,
( sk_c4 = inverse(identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f743,f794]) ).
fof(f794,plain,
( identity = sk_c2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f793,f756]) ).
fof(f793,plain,
( sk_c2 = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f735,f756]) ).
fof(f735,plain,
( multiply(sk_c4,identity) = multiply(sk_c4,sk_c2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f701,f721]) ).
fof(f721,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,X0)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f362,f720]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f43]) ).
fof(f701,plain,
( multiply(sk_c4,sk_c2) = multiply(sk_c3,identity)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f362,f338]) ).
fof(f743,plain,
( inverse(sk_c2) = sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f68,f733]) ).
fof(f783,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f782,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f781,f733]) ).
fof(f781,plain,
( sk_c7 != sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f678,f773]) ).
fof(f773,plain,
( sk_c5 = sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f103,f733]) ).
fof(f103,plain,
( sk_c7 = sk_c5
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_14
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f678,plain,
( sk_c7 != sk_c5
| spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f112,f121]) ).
fof(f112,plain,
( sk_c6 != sk_c5
| spl0_15 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_15
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f739,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f731,f104]) ).
fof(f104,plain,
( sk_c7 != sk_c5
| spl0_14 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f731,plain,
( sk_c7 = sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f592,f720]) ).
fof(f592,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_17 ),
inference(forward_demodulation,[],[f4,f121]) ).
fof(f4,axiom,
multiply(sk_c7,sk_c6) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f676,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| spl0_18 ),
inference(subsumption_resolution,[],[f669,f616]) ).
fof(f616,plain,
( sk_c4 != inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| spl0_18 ),
inference(backward_demodulation,[],[f126,f609]) ).
fof(f609,plain,
( sk_c7 = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f501,f604]) ).
fof(f604,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f521,f601]) ).
fof(f601,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = X10
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f151,f121]) ).
fof(f151,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c1,X10)) = X10
| ~ spl0_2 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c1,X10)) = multiply(identity,X10)
| ~ spl0_2 ),
inference(superposition,[],[f3,f128]) ).
fof(f128,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_2
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f521,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_14 ),
inference(backward_demodulation,[],[f498,f103]) ).
fof(f498,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = multiply(sk_c7,X0)
| ~ spl0_2 ),
inference(superposition,[],[f145,f151]) ).
fof(f145,plain,
! [X8] : multiply(sk_c5,X8) = multiply(sk_c7,multiply(sk_c6,X8)),
inference(superposition,[],[f3,f4]) ).
fof(f669,plain,
( sk_c4 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f622,f652]) ).
fof(f652,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f627,f623]) ).
fof(f623,plain,
( identity = multiply(sk_c4,sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f594,f609]) ).
fof(f594,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f128,f121]) ).
fof(f627,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f604,f609]) ).
fof(f622,plain,
( sk_c4 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f593,f609]) ).
fof(f593,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f34,f121]) ).
fof(f589,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f588,f120,f110,f102]) ).
fof(f588,plain,
( sk_c7 = sk_c5
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f111,f121]) ).
fof(f111,plain,
( sk_c6 = sk_c5
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f581,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f580,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f575,f1]) ).
fof(f575,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_19 ),
inference(backward_demodulation,[],[f538,f573]) ).
fof(f573,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_19 ),
inference(superposition,[],[f1,f511]) ).
fof(f511,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_2
| ~ spl0_19 ),
inference(backward_demodulation,[],[f128,f134]) ).
fof(f134,plain,
( identity = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f538,plain,
( identity != multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_19 ),
inference(backward_demodulation,[],[f509,f526]) ).
fof(f526,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f503,f134]) ).
fof(f503,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f30,f501]) ).
fof(f30,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c7,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f509,plain,
( sk_c7 != multiply(sk_c1,identity)
| spl0_6
| ~ spl0_19 ),
inference(backward_demodulation,[],[f52,f134]) ).
fof(f52,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| spl0_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f559,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f542,f556]) ).
fof(f556,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f125,f526]) ).
fof(f125,plain,
( sk_c7 = inverse(identity)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f542,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_19 ),
inference(backward_demodulation,[],[f520,f526]) ).
fof(f520,plain,
( sk_c7 != inverse(sk_c7)
| spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f47,f103]) ).
fof(f47,plain,
( sk_c5 != inverse(sk_c7)
| spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_5
<=> sk_c5 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f505,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_17 ),
inference(subsumption_resolution,[],[f503,f122]) ).
fof(f122,plain,
( sk_c7 != sk_c6
| spl0_17 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f329,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| spl0_19 ),
inference(subsumption_resolution,[],[f327,f135]) ).
fof(f327,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(backward_demodulation,[],[f155,f163]) ).
fof(f163,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_15 ),
inference(backward_demodulation,[],[f129,f111]) ).
fof(f129,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f155,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f151,f53]) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f326,plain,
( ~ spl0_15
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f325,f51,f37,f32,f110]) ).
fof(f37,plain,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f325,plain,
( sk_c6 != sk_c5
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f38,f155]) ).
fof(f38,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f269,plain,
( spl0_3
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| spl0_3
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f267,f221]) ).
fof(f221,plain,
( identity = sk_c5
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f103,f220]) ).
fof(f220,plain,
( identity = sk_c7
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f121,f134]) ).
fof(f267,plain,
( identity != sk_c5
| spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f266,plain,
( sk_c5 != multiply(identity,identity)
| spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f265,f134]) ).
fof(f265,plain,
( sk_c5 != multiply(sk_c6,identity)
| spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f38,f220]) ).
fof(f239,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f237,f1]) ).
fof(f237,plain,
( identity != multiply(identity,identity)
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f229,f225]) ).
fof(f225,plain,
( identity = inverse(identity)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f192,f220]) ).
fof(f192,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f115,f121]) ).
fof(f115,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_16
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f229,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f227,f1]) ).
fof(f227,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f226,f220]) ).
fof(f226,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c7,multiply(X6,sk_c7))
| identity != inverse(X6) )
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f193,f220]) ).
fof(f193,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) )
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f85,f121]) ).
fof(f85,plain,
( ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_12
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f209,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f205,f120,f110,f46,f37,f32,f124]) ).
fof(f205,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_17 ),
inference(backward_demodulation,[],[f178,f200]) ).
fof(f200,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f168,f184]) ).
fof(f184,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2
| ~ spl0_17 ),
inference(backward_demodulation,[],[f128,f121]) ).
fof(f168,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(backward_demodulation,[],[f164,f167]) ).
fof(f167,plain,
( ! [X9] : multiply(sk_c6,X9) = X9
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f165,f166]) ).
fof(f166,plain,
( ! [X11] : multiply(sk_c6,multiply(sk_c7,X11)) = X11
| ~ spl0_5
| ~ spl0_15 ),
inference(backward_demodulation,[],[f154,f111]) ).
fof(f154,plain,
( ! [X11] : multiply(sk_c5,multiply(sk_c7,X11)) = X11
| ~ spl0_5 ),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c5,multiply(sk_c7,X11))
| ~ spl0_5 ),
inference(superposition,[],[f3,f129]) ).
fof(f165,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c7,X9)) = multiply(sk_c6,X9)
| ~ spl0_3
| ~ spl0_15 ),
inference(backward_demodulation,[],[f146,f111]) ).
fof(f146,plain,
( ! [X9] : multiply(sk_c5,X9) = multiply(sk_c6,multiply(sk_c7,X9))
| ~ spl0_3 ),
inference(superposition,[],[f3,f39]) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f164,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c6,X8)) = multiply(sk_c6,X8)
| ~ spl0_15 ),
inference(backward_demodulation,[],[f145,f111]) ).
fof(f178,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_17 ),
inference(backward_demodulation,[],[f34,f121]) ).
fof(f191,plain,
( ~ spl0_13
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| ~ spl0_13
| spl0_16
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f181,f183]) ).
fof(f183,plain,
( sk_c7 != inverse(sk_c7)
| spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f116,f121]) ).
fof(f116,plain,
( sk_c7 != inverse(sk_c6)
| spl0_16 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f181,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_13
| ~ spl0_17 ),
inference(backward_demodulation,[],[f99,f121]) ).
fof(f99,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_13
<=> sk_c6 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f177,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f170,f110,f51,f46,f37,f32,f120]) ).
fof(f170,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(backward_demodulation,[],[f155,f167]) ).
fof(f176,plain,
( spl0_13
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f162,f110,f46,f98]) ).
fof(f162,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_5
| ~ spl0_15 ),
inference(backward_demodulation,[],[f48,f111]) ).
fof(f159,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_15 ),
inference(subsumption_resolution,[],[f157,f112]) ).
fof(f157,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(backward_demodulation,[],[f39,f155]) ).
fof(f127,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f118,f81,f124,f120]) ).
fof(f81,plain,
( spl0_11
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f118,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl0_11 ),
inference(superposition,[],[f82,f1]) ).
fof(f82,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f117,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f108,f81,f37,f114,f110]) ).
fof(f108,plain,
( sk_c7 != inverse(sk_c6)
| sk_c6 != sk_c5
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f82,f39]) ).
fof(f107,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f96,f34]) ).
fof(f96,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f95]) ).
fof(f95,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f79,f53]) ).
fof(f79,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_10
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f105,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f94,f78,f102,f98]) ).
fof(f94,plain,
( sk_c7 != sk_c5
| sk_c6 != inverse(sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f79,f4]) ).
fof(f93,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f5,f61,f37]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f92,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f32,f55]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f91,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f9,f37,f55]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f90,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f51,f28]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f89,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f55,f46]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f88,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f20,f61,f32]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f87,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f21,f66,f32]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f86,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f76,f84,f81,f78,f37,f46]) ).
fof(f76,plain,
! [X3,X6,X4] :
( sk_c7 != inverse(X6)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(sk_c7)
| sk_c6 != inverse(X3) ),
inference(subsumption_resolution,[],[f26,f4]) ).
fof(f26,plain,
! [X3,X6,X4] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c5 != inverse(sk_c7)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X4,sk_c7) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( multiply(X6,sk_c7) != X5
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,X5)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X6)
| sk_c6 != inverse(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f75,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f46,f28]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f74,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f61,f51]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f73,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f32,f41]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f72,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f37,f28]) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f71,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f11,f66,f46]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f70,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f6,f66,f37]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f69,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f51,f66]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f64,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f46,f61]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f59,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f51,f41]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f58,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f55,f51]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f49,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f46,f41]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f44,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f41,f37]) ).
fof(f8,axiom,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f35,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f32,f28]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP304-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.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 22:32:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.53 % (10802)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.53 % (10794)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (10801)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (10793)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (10810)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.58 % (10802)First to succeed.
% 0.21/0.58 % (10787)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.58 % (10785)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (10788)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (10782)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.59 TRYING [1]
% 0.21/0.59 TRYING [2]
% 0.21/0.59 TRYING [1]
% 1.91/0.60 % (10802)Refutation found. Thanks to Tanya!
% 1.91/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.91/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.61 % (10802)------------------------------
% 1.91/0.61 % (10802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (10802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (10802)Termination reason: Refutation
% 1.91/0.61
% 1.91/0.61 % (10802)Memory used [KB]: 5756
% 1.91/0.61 % (10802)Time elapsed: 0.147 s
% 1.91/0.61 % (10802)Instructions burned: 33 (million)
% 1.91/0.61 % (10802)------------------------------
% 1.91/0.61 % (10802)------------------------------
% 1.91/0.61 % (10781)Success in time 0.256 s
%------------------------------------------------------------------------------