TSTP Solution File: GRP215-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP215-1 : 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 : n016.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 16:20:55 EDT 2022
% Result : Unsatisfiable 1.62s 0.55s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 284 ( 38 unt; 0 def)
% Number of atoms : 889 ( 322 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1176 ( 571 ~; 587 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f912,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f76,f81,f86,f91,f104,f105,f106,f111,f112,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f171,f233,f248,f326,f403,f405,f533,f545,f618,f635,f710,f745,f749,f876,f887,f911]) ).
fof(f911,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f910,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f909,f880]) ).
fof(f880,plain,
( identity = sF10(identity)
| ~ spl12_2
| ~ spl12_22 ),
inference(forward_demodulation,[],[f866,f646]) ).
fof(f646,plain,
( identity = sF1
| ~ spl12_2
| ~ spl12_22 ),
inference(superposition,[],[f1,f517]) ).
fof(f517,plain,
( identity = multiply(identity,sF1)
| ~ spl12_2
| ~ spl12_22 ),
inference(forward_demodulation,[],[f516,f264]) ).
fof(f264,plain,
( identity = sk_c7
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl12_22
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f516,plain,
( sk_c7 = multiply(sk_c7,sF1)
| ~ spl12_2 ),
inference(forward_demodulation,[],[f515,f66]) ).
fof(f66,plain,
( sk_c7 = sF8
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl12_2
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f515,plain,
sk_c7 = multiply(sF8,sF1),
inference(forward_demodulation,[],[f287,f42]) ).
fof(f42,plain,
inverse(sk_c4) = sF8,
introduced(function_definition,[]) ).
fof(f287,plain,
sk_c7 = multiply(inverse(sk_c4),sF1),
inference(superposition,[],[f204,f27]) ).
fof(f27,plain,
multiply(sk_c4,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f204,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f186,f1]) ).
fof(f186,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = multiply(identity,X11),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f866,plain,
( sF10(identity) = sF1
| ~ spl12_2
| ~ spl12_22 ),
inference(superposition,[],[f151,f718]) ).
fof(f718,plain,
( identity = sk_c4
| ~ spl12_2
| ~ spl12_22 ),
inference(forward_demodulation,[],[f716,f2]) ).
fof(f716,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl12_2
| ~ spl12_22 ),
inference(superposition,[],[f204,f412]) ).
fof(f412,plain,
( identity = multiply(identity,sk_c4)
| ~ spl12_2
| ~ spl12_22 ),
inference(superposition,[],[f132,f264]) ).
fof(f132,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl12_2 ),
inference(forward_demodulation,[],[f130,f66]) ).
fof(f130,plain,
identity = multiply(sF8,sk_c4),
inference(superposition,[],[f2,f42]) ).
fof(f151,plain,
sF10(sk_c4) = sF1,
inference(superposition,[],[f27,f49]) ).
fof(f49,plain,
! [X7] : multiply(X7,sk_c7) = sF10(X7),
introduced(function_definition,[]) ).
fof(f909,plain,
( identity != sF10(identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_22 ),
inference(forward_demodulation,[],[f908,f264]) ).
fof(f908,plain,
( identity != sF10(sk_c7)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f907,f883]) ).
fof(f883,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_18
| ~ spl12_22 ),
inference(forward_demodulation,[],[f882,f264]) ).
fof(f882,plain,
( sk_c7 = inverse(identity)
| ~ spl12_2
| ~ spl12_18
| ~ spl12_22 ),
inference(forward_demodulation,[],[f246,f718]) ).
fof(f246,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl12_18
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f907,plain,
( identity != inverse(identity)
| identity != sF10(sk_c7)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(superposition,[],[f891,f158]) ).
fof(f158,plain,
sF10(sk_c7) = sF11(identity),
inference(forward_demodulation,[],[f157,f49]) ).
fof(f157,plain,
multiply(sk_c7,sk_c7) = sF11(identity),
inference(superposition,[],[f50,f148]) ).
fof(f148,plain,
sk_c7 = sF10(identity),
inference(superposition,[],[f1,f49]) ).
fof(f50,plain,
! [X7] : sF11(X7) = multiply(sk_c7,sF10(X7)),
introduced(function_definition,[]) ).
fof(f891,plain,
( ! [X7] :
( identity != sF11(X7)
| identity != inverse(X7) )
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f890,f264]) ).
fof(f890,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| identity != sF11(X7) )
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f100,f819]) ).
fof(f819,plain,
( identity = sk_c6
| ~ spl12_5
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f787,f264]) ).
fof(f787,plain,
( sk_c7 = sk_c6
| ~ spl12_5
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f782,f148]) ).
fof(f782,plain,
( sk_c6 = sF10(identity)
| ~ spl12_5
| ~ spl12_12
| ~ spl12_22 ),
inference(superposition,[],[f379,f764]) ).
fof(f764,plain,
( identity = sF7
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f110,f264]) ).
fof(f110,plain,
( sk_c7 = sF7
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl12_12
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f379,plain,
( sk_c6 = sF10(sF7)
| ~ spl12_5 ),
inference(superposition,[],[f295,f49]) ).
fof(f295,plain,
( sk_c6 = multiply(sF7,sk_c7)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f294,f38]) ).
fof(f38,plain,
inverse(sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f294,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f286,f80]) ).
fof(f80,plain,
( sk_c7 = sF2
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl12_5
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f286,plain,
sk_c6 = multiply(inverse(sk_c3),sF2),
inference(superposition,[],[f204,f29]) ).
fof(f29,plain,
multiply(sk_c3,sk_c6) = sF2,
introduced(function_definition,[]) ).
fof(f100,plain,
( ! [X7] :
( sk_c6 != sF11(X7)
| sk_c7 != inverse(X7) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl12_10
<=> ! [X7] :
( sk_c6 != sF11(X7)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f887,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f886,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f874,f881]) ).
fof(f881,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f852,f819]) ).
fof(f852,plain,
( identity != sk_c6
| identity != inverse(identity)
| ~ spl12_11
| ~ spl12_22 ),
inference(superposition,[],[f833,f134]) ).
fof(f134,plain,
sk_c6 = sF9(identity),
inference(superposition,[],[f48,f1]) ).
fof(f48,plain,
! [X4] : multiply(X4,sk_c6) = sF9(X4),
introduced(function_definition,[]) ).
fof(f833,plain,
( ! [X5] :
( identity != sF9(X5)
| identity != inverse(X5) )
| ~ spl12_11
| ~ spl12_22 ),
inference(forward_demodulation,[],[f832,f264]) ).
fof(f832,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| identity != sF9(X5) )
| ~ spl12_11
| ~ spl12_22 ),
inference(forward_demodulation,[],[f103,f264]) ).
fof(f103,plain,
( ! [X5] :
( sk_c7 != sF9(X5)
| sk_c7 != inverse(X5) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl12_11
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != sF9(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f874,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_22 ),
inference(forward_demodulation,[],[f873,f264]) ).
fof(f873,plain,
( sk_c7 = inverse(identity)
| ~ spl12_2
| ~ spl12_22 ),
inference(forward_demodulation,[],[f864,f66]) ).
fof(f864,plain,
( inverse(identity) = sF8
| ~ spl12_2
| ~ spl12_22 ),
inference(superposition,[],[f42,f718]) ).
fof(f876,plain,
( ~ spl12_2
| spl12_18
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f875,plain,
( $false
| ~ spl12_2
| spl12_18
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f874,f763]) ).
fof(f763,plain,
( identity != inverse(identity)
| ~ spl12_2
| spl12_18
| ~ spl12_22 ),
inference(forward_demodulation,[],[f762,f264]) ).
fof(f762,plain,
( sk_c7 != inverse(identity)
| ~ spl12_2
| spl12_18
| ~ spl12_22 ),
inference(forward_demodulation,[],[f247,f718]) ).
fof(f247,plain,
( sk_c7 != inverse(sk_c4)
| spl12_18 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f749,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f747,f570]) ).
fof(f570,plain,
( identity = inverse(identity)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f569,f264]) ).
fof(f569,plain,
( sk_c7 = inverse(identity)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f559,f90]) ).
fof(f90,plain,
( sk_c7 = sF4
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl12_7
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f559,plain,
( inverse(identity) = sF4
| ~ spl12_3
| ~ spl12_7
| ~ spl12_16
| ~ spl12_22 ),
inference(superposition,[],[f32,f551]) ).
fof(f551,plain,
( identity = sk_c1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f550,f264]) ).
fof(f550,plain,
( sk_c1 = sk_c7
| ~ spl12_3
| ~ spl12_7
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f549,f455]) ).
fof(f455,plain,
( sk_c1 = sk_c6
| ~ spl12_3
| ~ spl12_22 ),
inference(forward_demodulation,[],[f454,f289]) ).
fof(f289,plain,
sk_c1 = multiply(inverse(sF4),identity),
inference(superposition,[],[f204,f128]) ).
fof(f128,plain,
identity = multiply(sF4,sk_c1),
inference(superposition,[],[f2,f32]) ).
fof(f454,plain,
( sk_c6 = multiply(inverse(sF4),identity)
| ~ spl12_3
| ~ spl12_22 ),
inference(forward_demodulation,[],[f453,f264]) ).
fof(f453,plain,
( sk_c6 = multiply(inverse(sF4),sk_c7)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f445,f71]) ).
fof(f71,plain,
( sk_c6 = sF0
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl12_3
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f445,plain,
multiply(inverse(sF4),sk_c7) = sF0,
inference(superposition,[],[f204,f292]) ).
fof(f292,plain,
sk_c7 = multiply(sF4,sF0),
inference(forward_demodulation,[],[f277,f32]) ).
fof(f277,plain,
sk_c7 = multiply(inverse(sk_c1),sF0),
inference(superposition,[],[f204,f26]) ).
fof(f26,plain,
multiply(sk_c1,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f549,plain,
( sk_c7 = sk_c6
| ~ spl12_7
| ~ spl12_16 ),
inference(forward_demodulation,[],[f178,f90]) ).
fof(f178,plain,
( sk_c6 = sF4
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl12_16
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f32,plain,
inverse(sk_c1) = sF4,
introduced(function_definition,[]) ).
fof(f747,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f746,f718]) ).
fof(f746,plain,
( identity != inverse(sk_c4)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f726,f646]) ).
fof(f726,plain,
( identity != sF1
| identity != inverse(sk_c4)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16
| ~ spl12_22 ),
inference(superposition,[],[f713,f151]) ).
fof(f713,plain,
( ! [X3] :
( identity != sF10(X3)
| identity != inverse(X3) )
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f712,f551]) ).
fof(f712,plain,
( ! [X3] :
( sk_c1 != sF10(X3)
| identity != inverse(X3) )
| ~ spl12_3
| ~ spl12_9
| ~ spl12_22 ),
inference(forward_demodulation,[],[f711,f264]) ).
fof(f711,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c1 != sF10(X3) )
| ~ spl12_3
| ~ spl12_9
| ~ spl12_22 ),
inference(forward_demodulation,[],[f97,f455]) ).
fof(f97,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != sF10(X3) )
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl12_9
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != sF10(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f745,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f744,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f729,f570]) ).
fof(f729,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f720]) ).
fof(f720,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(superposition,[],[f713,f496]) ).
fof(f496,plain,
( identity = sF10(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_13
| ~ spl12_22 ),
inference(superposition,[],[f397,f488]) ).
fof(f488,plain,
( identity = sk_c6
| ~ spl12_3
| ~ spl12_7
| ~ spl12_22 ),
inference(superposition,[],[f134,f474]) ).
fof(f474,plain,
( identity = sF9(identity)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_22 ),
inference(forward_demodulation,[],[f473,f264]) ).
fof(f473,plain,
( identity = sF9(sk_c7)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_22 ),
inference(forward_demodulation,[],[f472,f90]) ).
fof(f472,plain,
( identity = sF9(sF4)
| ~ spl12_3
| ~ spl12_22 ),
inference(forward_demodulation,[],[f462,f32]) ).
fof(f462,plain,
( identity = sF9(inverse(sk_c1))
| ~ spl12_3
| ~ spl12_22 ),
inference(superposition,[],[f135,f455]) ).
fof(f135,plain,
identity = sF9(inverse(sk_c6)),
inference(superposition,[],[f48,f2]) ).
fof(f397,plain,
( sk_c6 = sF10(sk_c6)
| ~ spl12_1
| ~ spl12_13 ),
inference(forward_demodulation,[],[f393,f116]) ).
fof(f116,plain,
( sk_c6 = sF6
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl12_13
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f393,plain,
( sk_c6 = sF10(sF6)
| ~ spl12_1 ),
inference(superposition,[],[f366,f49]) ).
fof(f366,plain,
( sk_c6 = multiply(sF6,sk_c7)
| ~ spl12_1 ),
inference(forward_demodulation,[],[f304,f62]) ).
fof(f62,plain,
( sk_c7 = sF3
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl12_1
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f304,plain,
sk_c6 = multiply(sF6,sF3),
inference(forward_demodulation,[],[f288,f35]) ).
fof(f35,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f288,plain,
sk_c6 = multiply(inverse(sk_c2),sF3),
inference(superposition,[],[f204,f30]) ).
fof(f30,plain,
multiply(sk_c2,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f710,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f690,f570]) ).
fof(f690,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f685]) ).
fof(f685,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13
| ~ spl12_16
| ~ spl12_22 ),
inference(superposition,[],[f631,f497]) ).
fof(f497,plain,
( identity = sF11(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_13
| ~ spl12_22 ),
inference(superposition,[],[f439,f488]) ).
fof(f439,plain,
( sk_c6 = sF11(sk_c6)
| ~ spl12_1
| ~ spl12_13
| ~ spl12_22 ),
inference(forward_demodulation,[],[f438,f134]) ).
fof(f438,plain,
( sF11(sk_c6) = sF9(identity)
| ~ spl12_1
| ~ spl12_13
| ~ spl12_22 ),
inference(forward_demodulation,[],[f437,f264]) ).
fof(f437,plain,
( sF11(sk_c6) = sF9(sk_c7)
| ~ spl12_1
| ~ spl12_13 ),
inference(forward_demodulation,[],[f436,f48]) ).
fof(f436,plain,
( sF11(sk_c6) = multiply(sk_c7,sk_c6)
| ~ spl12_1
| ~ spl12_13 ),
inference(superposition,[],[f50,f397]) ).
fof(f631,plain,
( ! [X7] :
( identity != sF11(X7)
| identity != inverse(X7) )
| ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f630,f551]) ).
fof(f630,plain,
( ! [X7] :
( sk_c1 != sF11(X7)
| identity != inverse(X7) )
| ~ spl12_3
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f629,f264]) ).
fof(f629,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c1 != sF11(X7) )
| ~ spl12_3
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f100,f455]) ).
fof(f635,plain,
( ~ spl12_1
| spl12_14
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl12_1
| spl12_14
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f633,f264]) ).
fof(f633,plain,
( identity != sk_c7
| ~ spl12_1
| spl12_14
| ~ spl12_22 ),
inference(superposition,[],[f632,f62]) ).
fof(f632,plain,
( identity != sF3
| spl12_14
| ~ spl12_22 ),
inference(superposition,[],[f619,f137]) ).
fof(f137,plain,
sF9(sk_c2) = sF3,
inference(superposition,[],[f48,f30]) ).
fof(f619,plain,
( identity != sF9(sk_c2)
| spl12_14
| ~ spl12_22 ),
inference(forward_demodulation,[],[f170,f264]) ).
fof(f170,plain,
( sk_c7 != sF9(sk_c2)
| spl12_14 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl12_14
<=> sk_c7 = sF9(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f618,plain,
( ~ spl12_3
| ~ spl12_7
| ~ spl12_11
| ~ spl12_16
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f617,plain,
( $false
| ~ spl12_3
| ~ spl12_7
| ~ spl12_11
| ~ spl12_16
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f616,f570]) ).
fof(f616,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_11
| ~ spl12_22 ),
inference(forward_demodulation,[],[f615,f264]) ).
fof(f615,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_11
| ~ spl12_22 ),
inference(forward_demodulation,[],[f614,f90]) ).
fof(f614,plain,
( sk_c7 != inverse(sF4)
| ~ spl12_3
| ~ spl12_11
| ~ spl12_22 ),
inference(forward_demodulation,[],[f613,f32]) ).
fof(f613,plain,
( sk_c7 != inverse(inverse(sk_c1))
| ~ spl12_3
| ~ spl12_11
| ~ spl12_22 ),
inference(forward_demodulation,[],[f612,f455]) ).
fof(f612,plain,
( sk_c7 != inverse(inverse(sk_c6))
| ~ spl12_11
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f595,f264]) ).
fof(f595,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c6))
| ~ spl12_11 ),
inference(superposition,[],[f103,f135]) ).
fof(f545,plain,
( ~ spl12_3
| ~ spl12_7
| spl12_16
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl12_3
| ~ spl12_7
| spl12_16
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f498,f535]) ).
fof(f535,plain,
( identity != sk_c1
| ~ spl12_3
| ~ spl12_7
| spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f534,f264]) ).
fof(f534,plain,
( sk_c1 != sk_c7
| ~ spl12_3
| ~ spl12_7
| spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f374,f455]) ).
fof(f374,plain,
( sk_c7 != sk_c6
| ~ spl12_7
| spl12_16 ),
inference(forward_demodulation,[],[f179,f90]) ).
fof(f179,plain,
( sk_c6 != sF4
| spl12_16 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f498,plain,
( identity = sk_c1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_22 ),
inference(superposition,[],[f455,f488]) ).
fof(f533,plain,
( ~ spl12_3
| spl12_6
| ~ spl12_7
| ~ spl12_17
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl12_3
| spl12_6
| ~ spl12_7
| ~ spl12_17
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f531,f488]) ).
fof(f531,plain,
( identity != sk_c6
| spl12_6
| ~ spl12_17
| ~ spl12_22 ),
inference(forward_demodulation,[],[f84,f510]) ).
fof(f510,plain,
( identity = sF5
| ~ spl12_17
| ~ spl12_22 ),
inference(forward_demodulation,[],[f428,f509]) ).
fof(f509,plain,
( identity = sk_c5
| ~ spl12_17
| ~ spl12_22 ),
inference(forward_demodulation,[],[f242,f264]) ).
fof(f242,plain,
( sk_c7 = sk_c5
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl12_17
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f428,plain,
( sk_c5 = sF5
| ~ spl12_22 ),
inference(forward_demodulation,[],[f409,f1]) ).
fof(f409,plain,
( sF5 = multiply(identity,sk_c5)
| ~ spl12_22 ),
inference(superposition,[],[f34,f264]) ).
fof(f34,plain,
multiply(sk_c7,sk_c5) = sF5,
introduced(function_definition,[]) ).
fof(f84,plain,
( sk_c6 != sF5
| spl12_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl12_6
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f405,plain,
( ~ spl12_2
| ~ spl12_4
| spl12_17
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| spl12_17
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f311,f264]) ).
fof(f311,plain,
( identity != sk_c7
| ~ spl12_2
| ~ spl12_4
| spl12_17 ),
inference(superposition,[],[f243,f298]) ).
fof(f298,plain,
( identity = sk_c5
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_demodulation,[],[f281,f2]) ).
fof(f281,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl12_2
| ~ spl12_4 ),
inference(superposition,[],[f204,f222]) ).
fof(f222,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_demodulation,[],[f220,f152]) ).
fof(f152,plain,
( sk_c5 = sF10(sk_c4)
| ~ spl12_4 ),
inference(forward_demodulation,[],[f147,f75]) ).
fof(f75,plain,
( sk_c5 = sF1
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl12_4
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f147,plain,
sF10(sk_c4) = sF1,
inference(superposition,[],[f49,f27]) ).
fof(f220,plain,
( sk_c7 = multiply(sk_c7,sF10(sk_c4))
| ~ spl12_2 ),
inference(superposition,[],[f208,f49]) ).
fof(f208,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c4,X16)) = X16
| ~ spl12_2 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f191,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c4,X16)) = multiply(identity,X16)
| ~ spl12_2 ),
inference(superposition,[],[f3,f132]) ).
fof(f243,plain,
( sk_c7 != sk_c5
| spl12_17 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f403,plain,
( ~ spl12_1
| ~ spl12_13
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f402,plain,
( $false
| ~ spl12_1
| ~ spl12_13
| spl12_22 ),
inference(subsumption_resolution,[],[f401,f265]) ).
fof(f265,plain,
( identity != sk_c7
| spl12_22 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f401,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_13 ),
inference(forward_demodulation,[],[f400,f2]) ).
fof(f400,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl12_1
| ~ spl12_13 ),
inference(forward_demodulation,[],[f395,f116]) ).
fof(f395,plain,
( sk_c7 = multiply(inverse(sF6),sk_c6)
| ~ spl12_1 ),
inference(superposition,[],[f204,f366]) ).
fof(f326,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_12
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_12
| spl12_22 ),
inference(subsumption_resolution,[],[f324,f265]) ).
fof(f324,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_12 ),
inference(forward_demodulation,[],[f322,f2]) ).
fof(f322,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_12 ),
inference(superposition,[],[f204,f297]) ).
fof(f297,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_12 ),
inference(forward_demodulation,[],[f296,f229]) ).
fof(f229,plain,
( sk_c7 = sk_c6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f85,f226]) ).
fof(f226,plain,
( sk_c7 = sF5
| ~ spl12_2
| ~ spl12_4 ),
inference(superposition,[],[f34,f222]) ).
fof(f85,plain,
( sk_c6 = sF5
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f296,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f295,f110]) ).
fof(f248,plain,
( ~ spl12_17
| ~ spl12_18
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f238,f96,f83,f73,f64,f245,f241]) ).
fof(f238,plain,
( sk_c7 != inverse(sk_c4)
| sk_c7 != sk_c5
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9 ),
inference(superposition,[],[f234,f152]) ).
fof(f234,plain,
( ! [X3] :
( sk_c7 != sF10(X3)
| sk_c7 != inverse(X3) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9 ),
inference(forward_demodulation,[],[f97,f229]) ).
fof(f233,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_8
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_8
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f228,f166]) ).
fof(f166,plain,
( sk_c7 != sk_c6
| ~ spl12_5
| ~ spl12_8
| ~ spl12_12 ),
inference(forward_demodulation,[],[f165,f110]) ).
fof(f165,plain,
( sk_c6 != sF7
| ~ spl12_5
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f162,f142]) ).
fof(f142,plain,
( sk_c7 = sF9(sk_c3)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f136,f80]) ).
fof(f136,plain,
sF9(sk_c3) = sF2,
inference(superposition,[],[f48,f29]) ).
fof(f162,plain,
( sk_c6 != sF7
| sk_c7 != sF9(sk_c3)
| ~ spl12_8 ),
inference(superposition,[],[f94,f38]) ).
fof(f94,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != sF9(X4) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl12_8
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != sF9(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f228,plain,
( sk_c7 = sk_c6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f226,f85]) ).
fof(f171,plain,
( ~ spl12_14
| ~ spl12_13
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f164,f93,f114,f168]) ).
fof(f164,plain,
( sk_c6 != sF6
| sk_c7 != sF9(sk_c2)
| ~ spl12_8 ),
inference(superposition,[],[f94,f35]) ).
fof(f127,plain,
( spl12_13
| spl12_12 ),
inference(avatar_split_clause,[],[f39,f108,f114]) ).
fof(f39,plain,
( sk_c7 = sF7
| sk_c6 = sF6 ),
inference(definition_folding,[],[f19,f38,f35]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f126,plain,
( spl12_5
| spl12_7 ),
inference(avatar_split_clause,[],[f33,f88,f78]) ).
fof(f33,plain,
( sk_c7 = sF4
| sk_c7 = sF2 ),
inference(definition_folding,[],[f10,f32,f29]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f125,plain,
( spl12_13
| spl12_5 ),
inference(avatar_split_clause,[],[f52,f78,f114]) ).
fof(f52,plain,
( sk_c7 = sF2
| sk_c6 = sF6 ),
inference(definition_folding,[],[f20,f35,f29]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f124,plain,
( spl12_12
| spl12_3 ),
inference(avatar_split_clause,[],[f56,f69,f108]) ).
fof(f56,plain,
( sk_c6 = sF0
| sk_c7 = sF7 ),
inference(definition_folding,[],[f4,f26,f38]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f123,plain,
( spl12_4
| spl12_7 ),
inference(avatar_split_clause,[],[f46,f88,f73]) ).
fof(f46,plain,
( sk_c7 = sF4
| sk_c5 = sF1 ),
inference(definition_folding,[],[f12,f27,f32]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f122,plain,
( spl12_2
| spl12_13 ),
inference(avatar_split_clause,[],[f43,f114,f64]) ).
fof(f43,plain,
( sk_c6 = sF6
| sk_c7 = sF8 ),
inference(definition_folding,[],[f23,f42,f35]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f121,plain,
( spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f54,f69,f64]) ).
fof(f54,plain,
( sk_c6 = sF0
| sk_c7 = sF8 ),
inference(definition_folding,[],[f8,f26,f42]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f120,plain,
( spl12_13
| spl12_4 ),
inference(avatar_split_clause,[],[f41,f73,f114]) ).
fof(f41,plain,
( sk_c5 = sF1
| sk_c6 = sF6 ),
inference(definition_folding,[],[f22,f35,f27]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f119,plain,
( spl12_12
| spl12_1 ),
inference(avatar_split_clause,[],[f57,f60,f108]) ).
fof(f57,plain,
( sk_c7 = sF3
| sk_c7 = sF7 ),
inference(definition_folding,[],[f14,f38,f30]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f118,plain,
( spl12_5
| spl12_3 ),
inference(avatar_split_clause,[],[f55,f69,f78]) ).
fof(f55,plain,
( sk_c6 = sF0
| sk_c7 = sF2 ),
inference(definition_folding,[],[f5,f29,f26]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f117,plain,
( spl12_13
| spl12_6 ),
inference(avatar_split_clause,[],[f36,f83,f114]) ).
fof(f36,plain,
( sk_c6 = sF5
| sk_c6 = sF6 ),
inference(definition_folding,[],[f21,f35,f34]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f112,plain,
( spl12_6
| spl12_3 ),
inference(avatar_split_clause,[],[f40,f69,f83]) ).
fof(f40,plain,
( sk_c6 = sF0
| sk_c6 = sF5 ),
inference(definition_folding,[],[f6,f26,f34]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f111,plain,
( spl12_7
| spl12_12 ),
inference(avatar_split_clause,[],[f47,f108,f88]) ).
fof(f47,plain,
( sk_c7 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f9,f32,f38]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f106,plain,
( spl12_4
| spl12_1 ),
inference(avatar_split_clause,[],[f44,f60,f73]) ).
fof(f44,plain,
( sk_c7 = sF3
| sk_c5 = sF1 ),
inference(definition_folding,[],[f17,f30,f27]) ).
fof(f17,axiom,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f105,plain,
( spl12_2
| spl12_7 ),
inference(avatar_split_clause,[],[f45,f88,f64]) ).
fof(f45,plain,
( sk_c7 = sF4
| sk_c7 = sF8 ),
inference(definition_folding,[],[f13,f42,f32]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f104,plain,
( spl12_8
| spl12_9
| spl12_10
| spl12_11 ),
inference(avatar_split_clause,[],[f51,f102,f99,f96,f93]) ).
fof(f51,plain,
! [X3,X7,X4,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != sF9(X5)
| sk_c6 != sF11(X7)
| sk_c7 != inverse(X3)
| sk_c6 != sF10(X3)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X7)
| sk_c7 != sF9(X4) ),
inference(definition_folding,[],[f25,f49,f48,f50,f49,f48]) ).
fof(f25,plain,
! [X3,X7,X4,X5] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| multiply(X7,sk_c7) != X6
| sk_c6 != multiply(sk_c7,X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f91,plain,
( spl12_6
| spl12_7 ),
inference(avatar_split_clause,[],[f37,f88,f83]) ).
fof(f37,plain,
( sk_c7 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f11,f34,f32]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f86,plain,
( spl12_1
| spl12_6 ),
inference(avatar_split_clause,[],[f58,f83,f60]) ).
fof(f58,plain,
( sk_c6 = sF5
| sk_c7 = sF3 ),
inference(definition_folding,[],[f16,f30,f34]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f81,plain,
( spl12_5
| spl12_1 ),
inference(avatar_split_clause,[],[f31,f60,f78]) ).
fof(f31,plain,
( sk_c7 = sF3
| sk_c7 = sF2 ),
inference(definition_folding,[],[f15,f30,f29]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f76,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f28,f73,f69]) ).
fof(f28,plain,
( sk_c5 = sF1
| sk_c6 = sF0 ),
inference(definition_folding,[],[f7,f27,f26]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f67,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f53,f64,f60]) ).
fof(f53,plain,
( sk_c7 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f18,f30,f42]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP215-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:43:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (17091)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (17083)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (17105)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (17107)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (17086)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (17097)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (17089)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (17089)Instruction limit reached!
% 0.20/0.51 % (17089)------------------------------
% 0.20/0.51 % (17089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17089)Termination reason: Unknown
% 0.20/0.51 % (17089)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (17089)Memory used [KB]: 5500
% 0.20/0.51 % (17089)Time elapsed: 0.116 s
% 0.20/0.51 % (17089)Instructions burned: 7 (million)
% 0.20/0.51 % (17089)------------------------------
% 0.20/0.51 % (17089)------------------------------
% 0.20/0.51 % (17104)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (17084)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (17110)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (17085)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)
% 0.20/0.52 % (17082)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (17111)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (17093)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)
% 0.20/0.52 % (17092)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (17087)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (17090)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (17090)Instruction limit reached!
% 0.20/0.53 % (17090)------------------------------
% 0.20/0.53 % (17090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17090)Termination reason: Unknown
% 0.20/0.53 % (17090)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (17090)Memory used [KB]: 5373
% 0.20/0.53 % (17090)Time elapsed: 0.134 s
% 0.20/0.53 % (17090)Instructions burned: 2 (million)
% 0.20/0.53 % (17090)------------------------------
% 0.20/0.53 % (17090)------------------------------
% 0.20/0.53 % (17088)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)
% 0.20/0.53 % (17106)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (17096)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (17108)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.54/0.53 % (17102)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.54/0.53 % (17103)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.54 % (17098)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.54 % (17109)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.54/0.54 % (17094)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.54/0.54 % (17095)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.54 TRYING [1]
% 1.54/0.54 TRYING [2]
% 1.54/0.54 % (17107)First to succeed.
% 1.54/0.54 TRYING [3]
% 1.54/0.54 % (17099)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.54/0.55 TRYING [1]
% 1.54/0.55 TRYING [2]
% 1.54/0.55 % (17100)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.55 TRYING [3]
% 1.54/0.55 TRYING [4]
% 1.54/0.55 TRYING [1]
% 1.62/0.55 % (17101)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.55 % (17107)Refutation found. Thanks to Tanya!
% 1.62/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.62/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.56 % (17107)------------------------------
% 1.62/0.56 % (17107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (17107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (17107)Termination reason: Refutation
% 1.62/0.56
% 1.62/0.56 % (17107)Memory used [KB]: 5884
% 1.62/0.56 % (17107)Time elapsed: 0.154 s
% 1.62/0.56 % (17107)Instructions burned: 22 (million)
% 1.62/0.56 % (17107)------------------------------
% 1.62/0.56 % (17107)------------------------------
% 1.62/0.56 % (17081)Success in time 0.21 s
%------------------------------------------------------------------------------