TSTP Solution File: GRP234-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP234-1 : 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 : n020.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 16:20:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 40
% Syntax : Number of formulae : 149 ( 6 unt; 0 def)
% Number of atoms : 438 ( 167 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 563 ( 274 ~; 268 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f448,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f49,f63,f64,f69,f74,f82,f94,f95,f96,f97,f98,f99,f104,f105,f110,f111,f113,f114,f143,f162,f208,f220,f315,f317,f349,f373,f388,f445,f446,f447]) ).
fof(f447,plain,
( spl3_21
| ~ spl3_3
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f222,f129,f42,f385]) ).
fof(f385,plain,
( spl3_21
<=> sk_c7 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f42,plain,
( spl3_3
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f129,plain,
( spl3_18
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f222,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f44,f130]) ).
fof(f130,plain,
( sk_c7 = sk_c6
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f44,plain,
( inverse(sk_c7) = sk_c6
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f446,plain,
( spl3_18
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f435,f71,f42,f33,f129]) ).
fof(f33,plain,
( spl3_1
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f71,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f435,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9 ),
inference(backward_demodulation,[],[f417,f430]) ).
fof(f430,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9 ),
inference(backward_demodulation,[],[f1,f427]) ).
fof(f427,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9 ),
inference(backward_demodulation,[],[f116,f417]) ).
fof(f116,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl3_3 ),
inference(superposition,[],[f2,f44]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f417,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9 ),
inference(forward_demodulation,[],[f415,f44]) ).
fof(f415,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_9 ),
inference(superposition,[],[f155,f399]) ).
fof(f399,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_1
| ~ spl3_9 ),
inference(forward_demodulation,[],[f397,f35]) ).
fof(f35,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f397,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl3_9 ),
inference(superposition,[],[f155,f73]) ).
fof(f73,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f155,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f146,f1]) ).
fof(f146,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(f445,plain,
( ~ spl3_18
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9
| spl3_19 ),
inference(avatar_split_clause,[],[f434,f134,f71,f42,f33,f129]) ).
fof(f134,plain,
( spl3_19
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f434,plain,
( sk_c7 != sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9
| spl3_19 ),
inference(superposition,[],[f136,f427]) ).
fof(f136,plain,
( identity != sk_c7
| spl3_19 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f388,plain,
( ~ spl3_18
| ~ spl3_21
| ~ spl3_12
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f383,f134,f84,f385,f129]) ).
fof(f84,plain,
( spl3_12
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f383,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c6
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f120,f135]) ).
fof(f135,plain,
( identity = sk_c7
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f120,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl3_12 ),
inference(superposition,[],[f85,f1]) ).
fof(f85,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f373,plain,
( ~ spl3_3
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl3_3
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f371,f222]) ).
fof(f371,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_3
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f370,f222]) ).
fof(f370,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_3
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f369,f222]) ).
fof(f369,plain,
( sk_c7 != inverse(inverse(inverse(sk_c7)))
| ~ spl3_3
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f351,f222]) ).
fof(f351,plain,
( sk_c7 != inverse(inverse(inverse(inverse(sk_c7))))
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f285]) ).
fof(f285,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(inverse(inverse(inverse(sk_c7))))
| ~ spl3_15
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f260,f240]) ).
fof(f240,plain,
( ! [X0] : sk_c7 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl3_19 ),
inference(superposition,[],[f155,f232]) ).
fof(f232,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c7) = X0
| ~ spl3_19 ),
inference(superposition,[],[f155,f212]) ).
fof(f212,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl3_19 ),
inference(backward_demodulation,[],[f2,f135]) ).
fof(f260,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f103,f130]) ).
fof(f103,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl3_15
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f349,plain,
( ~ spl3_3
| ~ spl3_11
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl3_3
| ~ spl3_11
| ~ spl3_18
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f347,f213]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1,f135]) ).
fof(f347,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_3
| ~ spl3_11
| ~ spl3_18
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f247,f222]) ).
fof(f247,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_11
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f221,f213]) ).
fof(f221,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c7 != inverse(X7) )
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f81,f130]) ).
fof(f81,plain,
( ! [X7] :
( sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c7 != inverse(X7) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_11
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f317,plain,
( ~ spl3_16
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f309]) ).
fof(f309,plain,
( sk_c7 != sk_c7
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f304,f240]) ).
fof(f304,plain,
( ! [X3] : sk_c7 != multiply(X3,sk_c7)
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f109,f130]) ).
fof(f109,plain,
( ! [X3] : sk_c6 != multiply(X3,sk_c7)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_16
<=> ! [X3] : sk_c6 != multiply(X3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f315,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_16
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_16
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f166,f304]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18 ),
inference(superposition,[],[f156,f164]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl3_2
| ~ spl3_18 ),
inference(backward_demodulation,[],[f39,f130]) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_2
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f156,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c3,X8)) = X8
| ~ spl3_4 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c3,X8)) = multiply(identity,X8)
| ~ spl3_4 ),
inference(superposition,[],[f3,f117]) ).
fof(f117,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl3_4 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_4
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f220,plain,
( ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_18
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f218,f163]) ).
fof(f163,plain,
( sk_c7 != inverse(sk_c7)
| spl3_3
| ~ spl3_18 ),
inference(backward_demodulation,[],[f43,f130]) ).
fof(f43,plain,
( inverse(sk_c7) != sk_c6
| spl3_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f218,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f48,f214]) ).
fof(f214,plain,
( sk_c7 = sk_c3
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f210,f178]) ).
fof(f178,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18 ),
inference(superposition,[],[f155,f166]) ).
fof(f210,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_4
| ~ spl3_19 ),
inference(backward_demodulation,[],[f179,f135]) ).
fof(f179,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_4 ),
inference(superposition,[],[f155,f117]) ).
fof(f208,plain,
( spl3_19
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f203,f129,f46,f37,f134]) ).
fof(f203,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18 ),
inference(superposition,[],[f2,f178]) ).
fof(f162,plain,
( spl3_18
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f160,f66,f60,f55,f129]) ).
fof(f55,plain,
( spl3_6
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f60,plain,
( spl3_7
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f66,plain,
( spl3_8
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f160,plain,
( sk_c7 = sk_c6
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(backward_demodulation,[],[f57,f157]) ).
fof(f157,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl3_7
| ~ spl3_8 ),
inference(superposition,[],[f152,f68]) ).
fof(f68,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f152,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c4,X10)) = X10
| ~ spl3_7 ),
inference(forward_demodulation,[],[f149,f1]) ).
fof(f149,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c4,X10)) = multiply(identity,X10)
| ~ spl3_7 ),
inference(superposition,[],[f3,f118]) ).
fof(f118,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl3_7 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f143,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f142,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f123,f48]) ).
fof(f123,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl3_2
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f122]) ).
fof(f122,plain,
( sk_c7 != inverse(sk_c3)
| sk_c7 != sk_c7
| ~ spl3_2
| ~ spl3_12 ),
inference(superposition,[],[f85,f39]) ).
fof(f114,plain,
( spl3_1
| spl3_7 ),
inference(avatar_split_clause,[],[f23,f60,f33]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f113,plain,
( spl3_6
| spl3_9 ),
inference(avatar_split_clause,[],[f16,f71,f55]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f111,plain,
( spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f33,f46]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f110,plain,
( spl3_14
| spl3_16 ),
inference(avatar_split_clause,[],[f26,f108,f91]) ).
fof(f91,plain,
( spl3_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f26,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sP0 ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
( ! [X3] : sk_c6 != multiply(X3,sk_c7)
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f105,plain,
( spl3_7
| spl3_9 ),
inference(avatar_split_clause,[],[f18,f71,f60]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f104,plain,
( spl3_13
| spl3_15 ),
inference(avatar_split_clause,[],[f30,f102,f87]) ).
fof(f87,plain,
( spl3_13
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f30,plain,
! [X4] :
( sk_c7 != inverse(X4)
| sP2
| sk_c6 != multiply(X4,sk_c7) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f99,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f17,f71,f66]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f98,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f21,f55,f33]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f97,plain,
( spl3_8
| spl3_3 ),
inference(avatar_split_clause,[],[f7,f42,f66]) ).
fof(f7,axiom,
( inverse(sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f96,plain,
( spl3_4
| spl3_9 ),
inference(avatar_split_clause,[],[f14,f71,f46]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f95,plain,
( spl3_6
| spl3_3 ),
inference(avatar_split_clause,[],[f6,f42,f55]) ).
fof(f6,axiom,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f94,plain,
( ~ spl3_3
| ~ spl3_10
| spl3_12
| ~ spl3_13
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f31,f91,f87,f84,f76,f42]) ).
fof(f76,plain,
( spl3_10
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f31,plain,
! [X5] :
( ~ sP0
| ~ sP2
| sk_c7 != inverse(X5)
| ~ sP1
| sk_c7 != multiply(X5,sk_c6)
| inverse(sk_c7) != sk_c6 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f29,plain,
! [X4,X5] :
( inverse(sk_c7) != sk_c6
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f27,f28_D]) ).
fof(f28,plain,
! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
| sP1 ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f27,plain,
! [X7,X4,X5] :
( sk_c7 != inverse(X7)
| inverse(sk_c7) != sk_c6
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f25,f26_D]) ).
fof(f25,plain,
! [X3,X7,X4,X5] :
( sk_c7 != inverse(X7)
| inverse(sk_c7) != sk_c6
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X3,sk_c7) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X7)
| inverse(sk_c7) != sk_c6
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,X6)
| multiply(X7,sk_c7) != X6
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f82,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f28,f80,f76]) ).
fof(f74,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f15,f71,f37]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f69,plain,
( spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f22,f66,f33]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f64,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f5,f42,f37]) ).
fof(f5,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f63,plain,
( spl3_3
| spl3_7 ),
inference(avatar_split_clause,[],[f8,f60,f42]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f49,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f4,f46,f42]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c3)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f40,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f37,f33]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP234-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:23:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (17107)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)
% 0.20/0.52 % (17098)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 % (17096)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 % (17116)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (17099)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 % (17094)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)
% 0.20/0.53 % (17093)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)
% 0.20/0.53 % (17091)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 % (17108)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (17096)First to succeed.
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (17099)Instruction limit reached!
% 0.20/0.53 % (17099)------------------------------
% 0.20/0.53 % (17099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17099)Termination reason: Unknown
% 0.20/0.53 % (17099)Termination phase: Blocked clause elimination
% 0.20/0.53
% 0.20/0.53 % (17099)Memory used [KB]: 895
% 0.20/0.53 % (17099)Time elapsed: 0.004 s
% 0.20/0.53 % (17099)Instructions burned: 2 (million)
% 0.20/0.53 % (17092)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)
% 0.20/0.53 % (17099)------------------------------
% 0.20/0.53 % (17099)------------------------------
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (17117)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 % (17103)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (17097)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)
% 0.20/0.54 % (17112)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (17110)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (17095)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (17100)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (17111)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (17113)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)
% 0.20/0.54 % (17118)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)
% 0.20/0.54 % (17109)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (17120)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)
% 0.20/0.54 % (17115)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (17119)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (17106)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)
% 0.20/0.55 % (17098)Instruction limit reached!
% 0.20/0.55 % (17098)------------------------------
% 0.20/0.55 % (17098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17098)Termination reason: Unknown
% 0.20/0.55 % (17098)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (17098)Memory used [KB]: 5500
% 0.20/0.55 % (17098)Time elapsed: 0.114 s
% 0.20/0.55 % (17098)Instructions burned: 7 (million)
% 0.20/0.55 % (17098)------------------------------
% 0.20/0.55 % (17098)------------------------------
% 0.20/0.55 % (17114)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)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (17105)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)
% 0.20/0.55 % (17101)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (17104)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (17096)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (17096)------------------------------
% 0.20/0.55 % (17096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17096)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (17096)Memory used [KB]: 5628
% 0.20/0.55 % (17096)Time elapsed: 0.131 s
% 0.20/0.55 % (17096)Instructions burned: 13 (million)
% 0.20/0.55 % (17096)------------------------------
% 0.20/0.55 % (17096)------------------------------
% 0.20/0.55 % (17090)Success in time 0.196 s
%------------------------------------------------------------------------------