TSTP Solution File: GRP299-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP299-1 : 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 : n007.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 16:21:12 EDT 2022
% Result : Unsatisfiable 1.83s 0.62s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 38
% Syntax : Number of formulae : 165 ( 9 unt; 0 def)
% Number of atoms : 512 ( 180 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 669 ( 322 ~; 330 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f56,f57,f67,f72,f81,f83,f84,f85,f87,f99,f101,f102,f103,f104,f105,f107,f111,f116,f117,f180,f299,f338,f348,f358,f470,f473,f582,f592,f613]) ).
fof(f613,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f611,f511]) ).
fof(f511,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_10 ),
inference(backward_demodulation,[],[f50,f498]) ).
fof(f498,plain,
( sk_c7 = sk_c2
| ~ spl2_1
| ~ spl2_5
| ~ spl2_10 ),
inference(superposition,[],[f437,f80]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl2_10
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f437,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl2_1
| ~ spl2_5 ),
inference(backward_demodulation,[],[f387,f432]) ).
fof(f432,plain,
( identity = sk_c6
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f429,f55]) ).
fof(f55,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl2_5
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f429,plain,
( identity = multiply(sk_c3,sk_c4)
| ~ spl2_1 ),
inference(superposition,[],[f2,f421]) ).
fof(f421,plain,
( sk_c3 = inverse(sk_c4)
| ~ spl2_1 ),
inference(superposition,[],[f391,f387]) ).
fof(f391,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl2_1 ),
inference(superposition,[],[f129,f385]) ).
fof(f385,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl2_1 ),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_1
<=> sk_c4 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f129,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f121,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f121,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
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(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f387,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f245,f2]) ).
fof(f245,plain,
! [X4,X5] : multiply(X4,multiply(inverse(X4),X5)) = X5,
inference(superposition,[],[f142,f129]) ).
fof(f142,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f129,f129]) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl2_4
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f611,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f609]) ).
fof(f609,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8
| ~ spl2_14 ),
inference(superposition,[],[f110,f474]) ).
fof(f474,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f41,f439]) ).
fof(f439,plain,
( sk_c7 = sk_c5
| ~ spl2_1
| ~ spl2_5
| ~ spl2_8 ),
inference(backward_demodulation,[],[f71,f433]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl2_1
| ~ spl2_5 ),
inference(backward_demodulation,[],[f1,f432]) ).
fof(f71,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl2_8
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f41,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_2
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f110,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl2_14
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f592,plain,
( ~ spl2_1
| ~ spl2_5
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f590]) ).
fof(f590,plain,
( sk_c6 != sk_c6
| ~ spl2_1
| ~ spl2_5
| ~ spl2_12 ),
inference(superposition,[],[f586,f434]) ).
fof(f434,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl2_1
| ~ spl2_5 ),
inference(backward_demodulation,[],[f2,f432]) ).
fof(f586,plain,
( ! [X5] : sk_c6 != multiply(inverse(X5),sk_c7)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f94,f502]) ).
fof(f502,plain,
( ! [X5] : sk_c6 = multiply(X5,inverse(X5))
| ~ spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f245,f437]) ).
fof(f94,plain,
( ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl2_12
<=> ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f582,plain,
( ~ spl2_1
| ~ spl2_5
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| ~ spl2_15 ),
inference(subsumption_resolution,[],[f580,f556]) ).
fof(f556,plain,
( ! [X5] : inverse(inverse(X5)) = X5
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f554,f437]) ).
fof(f554,plain,
( ! [X5] : multiply(X5,sk_c6) = inverse(inverse(X5))
| ~ spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f245,f502]) ).
fof(f580,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl2_1
| ~ spl2_5
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f576]) ).
fof(f576,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl2_1
| ~ spl2_5
| ~ spl2_15 ),
inference(superposition,[],[f115,f434]) ).
fof(f115,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl2_15
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f473,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| spl2_9
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| spl2_9
| ~ spl2_10 ),
inference(subsumption_resolution,[],[f471,f376]) ).
fof(f376,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl2_4
| ~ spl2_10 ),
inference(forward_demodulation,[],[f374,f50]) ).
fof(f374,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl2_10 ),
inference(superposition,[],[f129,f80]) ).
fof(f471,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_8
| spl2_9 ),
inference(forward_demodulation,[],[f75,f439]) ).
fof(f75,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl2_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl2_9
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f470,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f464,f447]) ).
fof(f447,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(backward_demodulation,[],[f40,f439]) ).
fof(f40,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f464,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7 ),
inference(backward_demodulation,[],[f428,f463]) ).
fof(f463,plain,
( sk_c7 = sk_c3
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f455,f428]) ).
fof(f455,plain,
( sk_c3 = multiply(sk_c3,sk_c6)
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f452,f421]) ).
fof(f452,plain,
( sk_c3 = multiply(inverse(sk_c4),sk_c6)
| ~ spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f129,f435]) ).
fof(f435,plain,
( sk_c6 = multiply(sk_c4,sk_c3)
| ~ spl2_1
| ~ spl2_5 ),
inference(backward_demodulation,[],[f385,f432]) ).
fof(f428,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl2_1
| ~ spl2_7 ),
inference(backward_demodulation,[],[f368,f421]) ).
fof(f368,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl2_7 ),
inference(superposition,[],[f129,f65]) ).
fof(f65,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl2_7
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f358,plain,
( spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f352,f181]) ).
fof(f181,plain,
( sk_c7 = sk_c5
| ~ spl2_3
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f71,f169]) ).
fof(f169,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl2_3
| ~ spl2_6 ),
inference(backward_demodulation,[],[f1,f160]) ).
fof(f160,plain,
( identity = sk_c6
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f145,f2]) ).
fof(f145,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f129,f130]) ).
fof(f130,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f128,f46]) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl2_3
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f128,plain,
( ! [X9] : multiply(sk_c7,multiply(sk_c1,X9)) = X9
| ~ spl2_6 ),
inference(forward_demodulation,[],[f123,f1]) ).
fof(f123,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c7,multiply(sk_c1,X9))
| ~ spl2_6 ),
inference(superposition,[],[f3,f118]) ).
fof(f118,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl2_6 ),
inference(superposition,[],[f2,f61]) ).
fof(f61,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl2_6
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f352,plain,
( sk_c7 != sk_c5
| spl2_2
| ~ spl2_3
| ~ spl2_6 ),
inference(forward_demodulation,[],[f40,f130]) ).
fof(f348,plain,
( ~ spl2_3
| ~ spl2_6
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl2_3
| ~ spl2_6
| ~ spl2_15 ),
inference(subsumption_resolution,[],[f346,f258]) ).
fof(f258,plain,
( ! [X3] : inverse(inverse(X3)) = X3
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f243,f184]) ).
fof(f184,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f129,f168]) ).
fof(f168,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl2_3
| ~ spl2_6 ),
inference(backward_demodulation,[],[f2,f160]) ).
fof(f243,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f142,f184]) ).
fof(f346,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl2_3
| ~ spl2_6
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f342,plain,
( sk_c7 != inverse(inverse(sk_c7))
| sk_c6 != sk_c6
| ~ spl2_3
| ~ spl2_6
| ~ spl2_15 ),
inference(superposition,[],[f115,f168]) ).
fof(f338,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f326,f173]) ).
fof(f173,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(backward_demodulation,[],[f61,f170]) ).
fof(f170,plain,
( sk_c7 = sk_c1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f166,f144]) ).
fof(f144,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(superposition,[],[f129,f135]) ).
fof(f135,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(backward_demodulation,[],[f76,f133]) ).
fof(f133,plain,
( sk_c7 = sk_c5
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6 ),
inference(backward_demodulation,[],[f41,f130]) ).
fof(f76,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f166,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c6)
| ~ spl2_3
| ~ spl2_6 ),
inference(backward_demodulation,[],[f146,f160]) ).
fof(f146,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl2_6 ),
inference(superposition,[],[f129,f118]) ).
fof(f326,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f324]) ).
fof(f324,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl2_3
| ~ spl2_6
| ~ spl2_14 ),
inference(superposition,[],[f110,f130]) ).
fof(f299,plain,
( ~ spl2_3
| ~ spl2_6
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl2_3
| ~ spl2_6
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( sk_c6 != sk_c6
| ~ spl2_3
| ~ spl2_6
| ~ spl2_12 ),
inference(superposition,[],[f293,f168]) ).
fof(f293,plain,
( ! [X5] : sk_c6 != multiply(inverse(X5),sk_c7)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f94,f246]) ).
fof(f246,plain,
( ! [X6] : sk_c6 = multiply(X6,inverse(X6))
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f142,f168]) ).
fof(f180,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| spl2_8 ),
inference(subsumption_resolution,[],[f136,f169]) ).
fof(f136,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6
| spl2_8 ),
inference(backward_demodulation,[],[f70,f133]) ).
fof(f70,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl2_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f117,plain,
( spl2_9
| spl2_1 ),
inference(avatar_split_clause,[],[f26,f35,f74]) ).
fof(f26,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f116,plain,
( spl2_13
| spl2_15 ),
inference(avatar_split_clause,[],[f30,f114,f96]) ).
fof(f96,plain,
( spl2_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f30,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sP0
| sk_c7 != inverse(X3) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f111,plain,
( spl2_14
| spl2_11 ),
inference(avatar_split_clause,[],[f32,f89,f109]) ).
fof(f89,plain,
( spl2_11
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f32,plain,
! [X4] :
( sP1
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f107,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f19,f59,f53]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f105,plain,
( spl2_8
| spl2_3 ),
inference(avatar_split_clause,[],[f10,f44,f69]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f104,plain,
( spl2_10
| spl2_6 ),
inference(avatar_split_clause,[],[f18,f59,f78]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f103,plain,
( spl2_5
| spl2_2 ),
inference(avatar_split_clause,[],[f7,f39,f53]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f102,plain,
( spl2_10
| spl2_3 ),
inference(avatar_split_clause,[],[f12,f44,f78]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f101,plain,
( spl2_2
| spl2_8 ),
inference(avatar_split_clause,[],[f4,f69,f39]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f99,plain,
( ~ spl2_9
| ~ spl2_11
| ~ spl2_2
| ~ spl2_8
| spl2_12
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f33,f96,f93,f69,f39,f89,f74]) ).
fof(f33,plain,
! [X5] :
( ~ sP0
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| multiply(sk_c7,sk_c6) != sk_c5
| ~ sP1
| sk_c6 != multiply(sk_c5,sk_c7) ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f31,plain,
! [X4,X5] :
( sk_c6 != multiply(sk_c5,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(inverse(X5),sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != inverse(X4)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f29,plain,
! [X3,X4,X5] :
( sk_c6 != multiply(sk_c5,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(inverse(X5),sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != inverse(X4) ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c5,sk_c7)
| inverse(X5) != X6
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,X6)
| sk_c7 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f87,plain,
( spl2_4
| spl2_9 ),
inference(avatar_split_clause,[],[f23,f74,f48]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f85,plain,
( spl2_2
| spl2_7 ),
inference(avatar_split_clause,[],[f9,f63,f39]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f84,plain,
( spl2_4
| spl2_6 ),
inference(avatar_split_clause,[],[f17,f59,f48]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f83,plain,
( spl2_9
| spl2_5 ),
inference(avatar_split_clause,[],[f25,f53,f74]) ).
fof(f25,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f81,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f24,f78,f74]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f72,plain,
( spl2_8
| spl2_6 ),
inference(avatar_split_clause,[],[f16,f59,f69]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f67,plain,
( spl2_6
| spl2_1 ),
inference(avatar_split_clause,[],[f20,f35,f59]) ).
fof(f20,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f57,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f14,f44,f35]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f56,plain,
( spl2_3
| spl2_5 ),
inference(avatar_split_clause,[],[f13,f53,f44]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f51,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f11,f48,f44]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP299-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % 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 : n007.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:11:00 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.53 % (8900)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)
% 0.19/0.54 % (8899)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)
% 0.19/0.54 % (8909)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (8922)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.55 % (8905)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)
% 0.19/0.55 % (8923)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (8908)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)
% 0.19/0.55 % (8914)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)
% 0.19/0.56 % (8915)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)
% 0.19/0.56 % (8903)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 TRYING [4]
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.57 % (8907)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (8907)Instruction limit reached!
% 0.19/0.57 % (8907)------------------------------
% 0.19/0.57 % (8907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (8907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (8907)Termination reason: Unknown
% 0.19/0.57 % (8907)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (8907)Memory used [KB]: 895
% 0.19/0.57 % (8907)Time elapsed: 0.003 s
% 0.19/0.57 % (8907)Instructions burned: 2 (million)
% 0.19/0.57 % (8907)------------------------------
% 0.19/0.57 % (8907)------------------------------
% 0.19/0.57 % (8906)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 TRYING [3]
% 0.19/0.57 % (8901)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)
% 0.19/0.58 % (8910)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)
% 0.19/0.58 % (8906)Instruction limit reached!
% 0.19/0.58 % (8906)------------------------------
% 0.19/0.58 % (8906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (8906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (8906)Termination reason: Unknown
% 0.19/0.58 % (8906)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (8906)Memory used [KB]: 5500
% 0.19/0.58 % (8906)Time elapsed: 0.124 s
% 0.19/0.58 % (8906)Instructions burned: 7 (million)
% 0.19/0.58 % (8906)------------------------------
% 0.19/0.58 % (8906)------------------------------
% 0.19/0.58 % (8904)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)
% 0.19/0.58 % (8921)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)
% 0.19/0.58 % (8920)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.59 % (8915)First to succeed.
% 0.19/0.59 TRYING [4]
% 0.19/0.59 % (8919)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)
% 0.19/0.59 % (8902)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)
% 0.19/0.59 % (8917)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.60 % (8928)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)
% 0.19/0.60 % (8913)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)
% 0.19/0.60 % (8916)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.60 % (8927)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.60 % (8926)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)
% 0.19/0.60 % (8912)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.60 TRYING [1]
% 0.19/0.60 TRYING [2]
% 0.19/0.60 TRYING [3]
% 0.19/0.61 % (8925)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)
% 1.83/0.61 % (8924)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.83/0.62 % (8915)Refutation found. Thanks to Tanya!
% 1.83/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.62 % (8915)------------------------------
% 1.83/0.62 % (8915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 % (8915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (8915)Termination reason: Refutation
% 1.83/0.62
% 1.83/0.62 % (8915)Memory used [KB]: 5756
% 1.83/0.62 % (8915)Time elapsed: 0.177 s
% 1.83/0.62 % (8915)Instructions burned: 21 (million)
% 1.83/0.62 % (8915)------------------------------
% 1.83/0.62 % (8915)------------------------------
% 1.83/0.62 % (8898)Success in time 0.271 s
%------------------------------------------------------------------------------