TSTP Solution File: GRP218-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP218-1 : 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_uns --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:14:54 EDT 2022
% Result : Unsatisfiable 0.21s 0.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 60
% Syntax : Number of formulae : 158 ( 4 unt; 0 def)
% Number of atoms : 427 ( 195 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 465 ( 196 ~; 251 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f531,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f62,f68,f69,f79,f85,f90,f96,f101,f102,f107,f108,f109,f110,f111,f116,f117,f123,f128,f129,f130,f133,f134,f135,f139,f144,f145,f147,f150,f151,f154,f157,f162,f192,f195,f198,f202,f212,f222,f241,f243,f255,f271,f285,f338,f341,f530]) ).
fof(f530,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_21 ),
inference(subsumption_resolution,[],[f526,f501]) ).
fof(f501,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1,f469]) ).
fof(f469,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f89,f379]) ).
fof(f379,plain,
( multiply(sk_c10,sk_c8) = multiply(identity,sk_c10)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f91,f95]) ).
fof(f95,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_8
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f91,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f80]) ).
fof(f80,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f2,f61]) ).
fof(f61,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_3
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f89,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_7
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f526,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_21 ),
inference(superposition,[],[f337,f503]) ).
fof(f503,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f84,f501]) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_6
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f337,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| spl0_21 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl0_21
<=> sk_c9 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f341,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_20 ),
inference(subsumption_resolution,[],[f339,f1]) ).
fof(f339,plain,
( sk_c9 != multiply(identity,sk_c9)
| ~ spl0_2
| ~ spl0_6
| spl0_20 ),
inference(superposition,[],[f332,f152]) ).
fof(f152,plain,
( multiply(identity,sk_c9) = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f71,f84]) ).
fof(f71,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f57]) ).
fof(f57,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f332,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_20 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl0_20
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f338,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f288,f220,f53,f335,f330]) ).
fof(f220,plain,
( spl0_16
<=> ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f288,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f221,f55]) ).
fof(f221,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f285,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f283,f89]) ).
fof(f283,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f279,f61]) ).
fof(f279,plain,
( sk_c10 != inverse(sk_c7)
| sk_c9 != multiply(sk_c10,sk_c8)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f218,f95]) ).
fof(f218,plain,
( ! [X10] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != inverse(X10) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl0_15
<=> ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f271,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f269,f106]) ).
fof(f106,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_10
<=> sk_c9 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f269,plain,
( sk_c9 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f266,f115]) ).
fof(f115,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_11
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f266,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| sk_c9 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f221,f67]) ).
fof(f67,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_4
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f255,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f253,f77]) ).
fof(f77,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_5
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f253,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f249,f121]) ).
fof(f121,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_12
<=> sk_c9 = multiply(sk_c10,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f249,plain,
( sk_c9 != multiply(sk_c10,sk_c5)
| sk_c10 != inverse(sk_c4)
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f218,f127]) ).
fof(f127,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_13
<=> sk_c5 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f243,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f238,f51]) ).
fof(f51,plain,
( inverse(sk_c1) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> inverse(sk_c1) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f238,plain,
( inverse(sk_c1) != sk_c10
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f234]) ).
fof(f234,plain,
( sk_c10 != sk_c10
| inverse(sk_c1) != sk_c10
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f215,f100]) ).
fof(f100,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_9
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f215,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X8) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl0_14
<=> ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f241,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f239,f55]) ).
fof(f239,plain,
( sk_c10 != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f235]) ).
fof(f235,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f215,f84]) ).
fof(f222,plain,
( spl0_14
| spl0_14
| spl0_15
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f47,f220,f217,f217,f214,f214]) ).
fof(f47,plain,
! [X3,X10,X8,X7,X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10)) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X10,X8,X6,X7,X4] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| multiply(X7,sk_c10) != X6
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X8,sk_c9) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X10,X8,X6,X9,X7,X4] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| multiply(X10,sk_c10) != X9
| multiply(X7,sk_c10) != X6
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(sk_c10,X9)
| sk_c10 != multiply(X8,sk_c9) ),
inference(equality_resolution,[],[f44]) ).
fof(f44,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X10)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,X5)
| inverse(X4) != X5
| multiply(X10,sk_c10) != X9
| multiply(X7,sk_c10) != X6
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(sk_c10,X9)
| sk_c10 != multiply(X8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f212,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f125,f93]) ).
fof(f37,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f202,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f36,f87,f125]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f198,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f35,f125,f82]) ).
fof(f35,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f195,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f119,f93]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f192,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f87,f119]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f162,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f119,f82]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f157,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f113,f93]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f154,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f26,f87,f113]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f151,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f113,f82]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f150,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f104,f93]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f147,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f16,f104,f87]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f145,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f82,f104]) ).
fof(f15,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f144,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f12,f98,f93]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f139,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f11,f98,f87]) ).
fof(f11,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f135,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f82,f98]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f134,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f93,f75]) ).
fof(f42,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f133,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f41,f87,f75]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f130,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f82,f75]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f129,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f125,f59]) ).
fof(f38,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f128,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f53,f125]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f123,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f59,f119]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f117,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f28,f59,f113]) ).
fof(f28,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f116,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f24,f113,f53]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f111,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f22,f93,f65]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f110,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f65,f87]) ).
fof(f21,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f109,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f65,f82]) ).
fof(f20,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f108,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f59,f104]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f107,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f14,f104,f53]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f102,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f13,f59,f98]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f101,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f53,f98]) ).
fof(f9,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f96,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f7,f93,f49]) ).
fof(f7,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f90,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f87,f49]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f85,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f82,f49]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f79,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f43,f75,f59]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f69,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f59,f65]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f68,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f53,f65]) ).
fof(f19,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f62,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f8,f49,f59]) ).
fof(f8,axiom,
( inverse(sk_c1) = sk_c10
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f53,f49]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c6)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP218-1 : 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_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:22:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.56 % (5975)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (5967)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.57 % (5987)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.58 % (5970)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.58 % (5979)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (5970)Refutation not found, incomplete strategy% (5970)------------------------------
% 0.21/0.58 % (5970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (5970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (5970)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58
% 0.21/0.58 % (5970)Memory used [KB]: 5884
% 0.21/0.58 % (5970)Time elapsed: 0.150 s
% 0.21/0.58 % (5970)Instructions burned: 5 (million)
% 0.21/0.58 % (5970)------------------------------
% 0.21/0.58 % (5970)------------------------------
% 0.21/0.58 % (5989)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.58 % (5991)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.59 % (5989)Refutation not found, incomplete strategy% (5989)------------------------------
% 0.21/0.59 % (5989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (5989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (5989)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.59
% 0.21/0.59 % (5989)Memory used [KB]: 5884
% 0.21/0.59 % (5989)Time elapsed: 0.110 s
% 0.21/0.59 % (5989)Instructions burned: 5 (million)
% 0.21/0.59 % (5989)------------------------------
% 0.21/0.59 % (5989)------------------------------
% 0.21/0.59 % (5971)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.59 % (5966)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.59 % (5979)Instruction limit reached!
% 0.21/0.59 % (5979)------------------------------
% 0.21/0.59 % (5979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (5975)First to succeed.
% 0.21/0.59 % (5968)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.59 % (5981)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.59 % (5974)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.59 % (5972)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.60 % (5968)Instruction limit reached!
% 0.21/0.60 % (5968)------------------------------
% 0.21/0.60 % (5968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (5975)Refutation found. Thanks to Tanya!
% 0.21/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60 % (5975)------------------------------
% 0.21/0.60 % (5975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (5975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (5975)Termination reason: Refutation
% 0.21/0.60
% 0.21/0.60 % (5975)Memory used [KB]: 6268
% 0.21/0.60 % (5975)Time elapsed: 0.161 s
% 0.21/0.60 % (5975)Instructions burned: 18 (million)
% 0.21/0.60 % (5975)------------------------------
% 0.21/0.60 % (5975)------------------------------
% 0.21/0.60 % (5965)Success in time 0.249 s
%------------------------------------------------------------------------------