TSTP Solution File: GRP239-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP239-1 : 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 16:21:00 EDT 2022
% Result : Unsatisfiable 1.48s 0.54s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 49
% Syntax : Number of formulae : 177 ( 6 unt; 0 def)
% Number of atoms : 521 ( 223 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 661 ( 317 ~; 316 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 29 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f821,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f79,f84,f89,f94,f99,f109,f122,f123,f124,f126,f135,f136,f148,f157,f162,f171,f175,f176,f179,f182,f183,f308,f322,f361,f475,f486,f536,f545,f556,f560,f568,f676,f694,f703,f807]) ).
fof(f807,plain,
( ~ spl4_8
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl4_8
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f647,f310]) ).
fof(f310,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl4_24 ),
inference(backward_demodulation,[],[f1,f212]) ).
fof(f212,plain,
( identity = sk_c9
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl4_24
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f647,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl4_8
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f624,f362]) ).
fof(f362,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl4_8
| ~ spl4_23 ),
inference(forward_demodulation,[],[f93,f203]) ).
fof(f203,plain,
( sk_c9 = sk_c8
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl4_23
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f93,plain,
( inverse(sk_c9) = sk_c8
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl4_8
<=> inverse(sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f624,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(sk_c9)
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24 ),
inference(superposition,[],[f561,f310]) ).
fof(f561,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f170,f203]) ).
fof(f170,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl4_21
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f703,plain,
( ~ spl4_24
| spl4_29 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl4_24
| spl4_29 ),
inference(subsumption_resolution,[],[f531,f310]) ).
fof(f531,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| spl4_29 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl4_29
<=> sk_c9 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f694,plain,
( ~ spl4_8
| ~ spl4_19
| ~ spl4_23
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl4_8
| ~ spl4_19
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f692,f362]) ).
fof(f692,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl4_8
| ~ spl4_19
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f691,f362]) ).
fof(f691,plain,
( sk_c9 != inverse(inverse(sk_c9))
| ~ spl4_19
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f690,f203]) ).
fof(f690,plain,
( sk_c9 != inverse(inverse(sk_c8))
| ~ spl4_19
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f220,f212]) ).
fof(f220,plain,
( identity != sk_c9
| sk_c9 != inverse(inverse(sk_c8))
| ~ spl4_19 ),
inference(superposition,[],[f156,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f156,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl4_19
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f676,plain,
( ~ spl4_8
| ~ spl4_14
| ~ spl4_23
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl4_8
| ~ spl4_14
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f674,f362]) ).
fof(f674,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl4_14
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f673,f203]) ).
fof(f673,plain,
( inverse(sk_c9) != sk_c8
| ~ spl4_14
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f672,f212]) ).
fof(f672,plain,
( sk_c8 != inverse(identity)
| ~ spl4_14
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f189,f203]) ).
fof(f189,plain,
( sk_c8 != inverse(identity)
| sk_c9 != sk_c8
| ~ spl4_14 ),
inference(superposition,[],[f130,f1]) ).
fof(f130,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl4_14
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f568,plain,
( spl4_24
| ~ spl4_8
| ~ spl4_23
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f562,f529,f202,f91,f211]) ).
fof(f562,plain,
( identity = sk_c9
| ~ spl4_8
| ~ spl4_23
| ~ spl4_29 ),
inference(backward_demodulation,[],[f363,f530]) ).
fof(f530,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f363,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl4_8
| ~ spl4_23 ),
inference(forward_demodulation,[],[f184,f203]) ).
fof(f184,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl4_8 ),
inference(superposition,[],[f2,f93]) ).
fof(f560,plain,
( spl4_29
| ~ spl4_13
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f559,f525,f116,f529]) ).
fof(f116,plain,
( spl4_13
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f525,plain,
( spl4_28
<=> sk_c9 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f559,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl4_13
| ~ spl4_28 ),
inference(forward_demodulation,[],[f557,f118]) ).
fof(f118,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f557,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c9)
| ~ spl4_28 ),
inference(superposition,[],[f252,f526]) ).
fof(f526,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f252,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f239,f1]) ).
fof(f239,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f556,plain,
( ~ spl4_29
| ~ spl4_8
| ~ spl4_17
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f468,f202,f146,f91,f529]) ).
fof(f146,plain,
( spl4_17
<=> ! [X8] :
( sk_c8 != multiply(X8,inverse(X8))
| sk_c8 != multiply(inverse(X8),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f468,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl4_8
| ~ spl4_17
| ~ spl4_23 ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f464,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl4_8
| ~ spl4_17
| ~ spl4_23 ),
inference(superposition,[],[f366,f362]) ).
fof(f366,plain,
( ! [X8] :
( sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c9) )
| ~ spl4_17
| ~ spl4_23 ),
inference(forward_demodulation,[],[f365,f203]) ).
fof(f365,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(X8,inverse(X8)) )
| ~ spl4_17
| ~ spl4_23 ),
inference(forward_demodulation,[],[f147,f203]) ).
fof(f147,plain,
( ! [X8] :
( sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(X8,inverse(X8)) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f545,plain,
( spl4_28
| ~ spl4_6
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f540,f202,f81,f525]) ).
fof(f81,plain,
( spl4_6
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f540,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl4_6
| ~ spl4_23 ),
inference(backward_demodulation,[],[f83,f203]) ).
fof(f83,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f536,plain,
( spl4_23
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f516,f76,f67,f58,f202]) ).
fof(f58,plain,
( spl4_1
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f67,plain,
( spl4_3
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f76,plain,
( spl4_5
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f516,plain,
( sk_c9 = sk_c8
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5 ),
inference(backward_demodulation,[],[f60,f499]) ).
fof(f499,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl4_3
| ~ spl4_5 ),
inference(forward_demodulation,[],[f497,f69]) ).
fof(f69,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f497,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl4_5 ),
inference(superposition,[],[f252,f78]) ).
fof(f78,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f486,plain,
( ~ spl4_3
| ~ spl4_8
| spl4_23
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl4_3
| ~ spl4_8
| spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f482,f204]) ).
fof(f204,plain,
( sk_c9 != sk_c8
| spl4_23 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f482,plain,
( sk_c9 = sk_c8
| ~ spl4_3
| ~ spl4_8
| ~ spl4_24 ),
inference(backward_demodulation,[],[f93,f457]) ).
fof(f457,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl4_3
| ~ spl4_24 ),
inference(forward_demodulation,[],[f69,f454]) ).
fof(f454,plain,
( sk_c9 = sk_c2
| ~ spl4_3
| ~ spl4_24 ),
inference(forward_demodulation,[],[f453,f212]) ).
fof(f453,plain,
( identity = sk_c2
| ~ spl4_3
| ~ spl4_24 ),
inference(forward_demodulation,[],[f188,f310]) ).
fof(f188,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl4_3 ),
inference(superposition,[],[f2,f69]) ).
fof(f475,plain,
( spl4_23
| ~ spl4_4
| ~ spl4_12
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f431,f211,f112,f71,f202]) ).
fof(f71,plain,
( spl4_4
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f112,plain,
( spl4_12
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f431,plain,
( sk_c9 = sk_c8
| ~ spl4_4
| ~ spl4_12
| ~ spl4_24 ),
inference(forward_demodulation,[],[f275,f311]) ).
fof(f311,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl4_24 ),
inference(backward_demodulation,[],[f2,f212]) ).
fof(f275,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl4_4
| ~ spl4_12 ),
inference(superposition,[],[f252,f253]) ).
fof(f253,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl4_4
| ~ spl4_12 ),
inference(superposition,[],[f247,f73]) ).
fof(f73,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f247,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c6,X14)) = X14
| ~ spl4_12 ),
inference(forward_demodulation,[],[f246,f1]) ).
fof(f246,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c6,X14)) = multiply(identity,X14)
| ~ spl4_12 ),
inference(superposition,[],[f3,f187]) ).
fof(f187,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl4_12 ),
inference(superposition,[],[f2,f114]) ).
fof(f114,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f361,plain,
( spl4_8
| ~ spl4_11
| ~ spl4_23
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| spl4_8
| ~ spl4_11
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f359,f326]) ).
fof(f326,plain,
( sk_c9 != inverse(sk_c9)
| spl4_8
| ~ spl4_23 ),
inference(backward_demodulation,[],[f92,f203]) ).
fof(f92,plain,
( inverse(sk_c9) != sk_c8
| spl4_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f359,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl4_11
| ~ spl4_24 ),
inference(backward_demodulation,[],[f108,f352]) ).
fof(f352,plain,
( sk_c9 = sk_c4
| ~ spl4_11
| ~ spl4_24 ),
inference(superposition,[],[f312,f310]) ).
fof(f312,plain,
( sk_c9 = multiply(sk_c9,sk_c4)
| ~ spl4_11
| ~ spl4_24 ),
inference(backward_demodulation,[],[f185,f212]) ).
fof(f185,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl4_11 ),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl4_11
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f322,plain,
( spl4_23
| ~ spl4_9
| ~ spl4_11
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f319,f211,f106,f96,f202]) ).
fof(f96,plain,
( spl4_9
<=> sk_c9 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f319,plain,
( sk_c9 = sk_c8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_24 ),
inference(backward_demodulation,[],[f278,f310]) ).
fof(f278,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f270,f108]) ).
fof(f270,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c9)
| ~ spl4_9 ),
inference(superposition,[],[f252,f98]) ).
fof(f98,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f308,plain,
( spl4_24
| ~ spl4_2
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f304,f86,f62,f211]) ).
fof(f62,plain,
( spl4_2
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f86,plain,
( spl4_7
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f304,plain,
( identity = sk_c9
| ~ spl4_2
| ~ spl4_7 ),
inference(superposition,[],[f2,f284]) ).
fof(f284,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl4_2
| ~ spl4_7 ),
inference(superposition,[],[f252,f279]) ).
fof(f279,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl4_2
| ~ spl4_7 ),
inference(forward_demodulation,[],[f271,f88]) ).
fof(f88,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f271,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl4_2 ),
inference(superposition,[],[f252,f64]) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f183,plain,
( spl4_3
| spl4_11 ),
inference(avatar_split_clause,[],[f39,f106,f67]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f182,plain,
( spl4_7
| spl4_13 ),
inference(avatar_split_clause,[],[f14,f116,f86]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f179,plain,
( spl4_8
| spl4_2 ),
inference(avatar_split_clause,[],[f6,f62,f91]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f176,plain,
( spl4_8
| spl4_4 ),
inference(avatar_split_clause,[],[f8,f71,f91]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f175,plain,
( spl4_20
| spl4_19 ),
inference(avatar_split_clause,[],[f53,f155,f165]) ).
fof(f165,plain,
( spl4_20
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f53,plain,
! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c9 != inverse(X6)
| sP2 ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c9 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f171,plain,
( ~ spl4_15
| ~ spl4_16
| ~ spl4_18
| ~ spl4_20
| spl4_21
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f56,f91,f169,f165,f151,f142,f132]) ).
fof(f132,plain,
( spl4_15
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f142,plain,
( spl4_16
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f151,plain,
( spl4_18
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f56,plain,
! [X5] :
( inverse(sk_c9) != sk_c8
| sk_c9 != inverse(X5)
| ~ sP2
| ~ sP0
| ~ sP1
| ~ sP3
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f55,plain,
! [X7] :
( sP3
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f54,plain,
! [X7,X5] :
( inverse(sk_c9) != sk_c8
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f52,f53_D]) ).
fof(f52,plain,
! [X6,X7,X5] :
( sk_c9 != inverse(X6)
| inverse(sk_c9) != sk_c8
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X6,sk_c8)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f50,f51_D]) ).
fof(f51,plain,
! [X8] :
( sk_c8 != multiply(X8,inverse(X8))
| sP1
| sk_c8 != multiply(inverse(X8),sk_c9) ),
inference(cnf_transformation,[],[f51_D]) ).
fof(f51_D,plain,
( ! [X8] :
( sk_c8 != multiply(X8,inverse(X8))
| sk_c8 != multiply(inverse(X8),sk_c9) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f50,plain,
! [X8,X6,X7,X5] :
( sk_c9 != inverse(X6)
| inverse(sk_c9) != sk_c8
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != multiply(X8,inverse(X8))
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| ~ sP0 ),
inference(general_splitting,[],[f48,f49_D]) ).
fof(f49,plain,
! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sP0
| sk_c9 != inverse(X3) ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f48,plain,
! [X3,X8,X6,X7,X5] :
( sk_c9 != inverse(X6)
| inverse(sk_c9) != sk_c8
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != multiply(X8,inverse(X8))
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X6)
| inverse(sk_c9) != sk_c8
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != multiply(X8,inverse(X8))
| multiply(X5,sk_c9) != X4
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(sk_c9,X4) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(X6)
| inverse(sk_c9) != sk_c8
| sk_c9 != inverse(X3)
| inverse(X8) != X9
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != multiply(X8,X9)
| multiply(X5,sk_c9) != X4
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X9,sk_c9)
| sk_c8 != multiply(sk_c9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f162,plain,
( spl4_1
| spl4_7 ),
inference(avatar_split_clause,[],[f28,f86,f58]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f157,plain,
( spl4_18
| spl4_19 ),
inference(avatar_split_clause,[],[f49,f155,f151]) ).
fof(f148,plain,
( spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f51,f146,f142]) ).
fof(f136,plain,
( spl4_7
| spl4_3 ),
inference(avatar_split_clause,[],[f42,f67,f86]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f135,plain,
( spl4_14
| spl4_15 ),
inference(avatar_split_clause,[],[f55,f132,f129]) ).
fof(f126,plain,
( spl4_8
| spl4_12 ),
inference(avatar_split_clause,[],[f9,f112,f91]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c6)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f124,plain,
( spl4_2
| spl4_13 ),
inference(avatar_split_clause,[],[f13,f116,f62]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f123,plain,
( spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f21,f86,f81]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f122,plain,
( spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f41,f67,f62]) ).
fof(f41,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f109,plain,
( spl4_8
| spl4_11 ),
inference(avatar_split_clause,[],[f4,f106,f91]) ).
fof(f4,axiom,
( sk_c9 = inverse(sk_c4)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f99,plain,
( spl4_3
| spl4_9 ),
inference(avatar_split_clause,[],[f40,f96,f67]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f94,plain,
( spl4_8
| spl4_7 ),
inference(avatar_split_clause,[],[f7,f86,f91]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f89,plain,
( spl4_5
| spl4_7 ),
inference(avatar_split_clause,[],[f35,f86,f76]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f84,plain,
( spl4_2
| spl4_6 ),
inference(avatar_split_clause,[],[f20,f81,f62]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f79,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f34,f62,f76]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f27,f62,f58]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP239-1 : 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
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:44:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (20156)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (20139)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (20148)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (20140)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)
% 0.20/0.52 % (20147)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (20158)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)
% 0.20/0.52 % (20157)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)
% 0.20/0.52 % (20141)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)
% 0.20/0.52 % (20150)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)
% 0.20/0.53 % (20135)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (20142)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (20159)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 % (20138)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)
% 0.20/0.54 % (20160)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (20161)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)
% 0.20/0.54 % (20149)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)
% 1.48/0.54 % (20163)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.48/0.54 TRYING [1]
% 1.48/0.54 % (20136)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)
% 1.48/0.54 % (20140)First to succeed.
% 1.48/0.54 % (20151)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)
% 1.48/0.54 % (20137)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)
% 1.48/0.54 % (20140)Refutation found. Thanks to Tanya!
% 1.48/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.54 % (20140)------------------------------
% 1.48/0.54 % (20140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (20140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (20140)Termination reason: Refutation
% 1.48/0.54
% 1.48/0.54 % (20140)Memory used [KB]: 5756
% 1.48/0.54 % (20140)Time elapsed: 0.132 s
% 1.48/0.54 % (20140)Instructions burned: 22 (million)
% 1.48/0.54 % (20140)------------------------------
% 1.48/0.54 % (20140)------------------------------
% 1.48/0.54 % (20131)Success in time 0.191 s
%------------------------------------------------------------------------------