TSTP Solution File: GRP299-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP299-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 : Mon May 20 21:07:58 EDT 2024
% Result : Unsatisfiable 0.60s 0.74s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 34
% Syntax : Number of formulae : 141 ( 6 unt; 0 def)
% Number of atoms : 444 ( 148 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 583 ( 280 ~; 288 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f40,f44,f60,f61,f62,f69,f70,f71,f78,f79,f80,f81,f82,f83,f96,f133,f213,f223,f314,f354,f361,f371,f403,f425,f455,f474,f479]) ).
fof(f479,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f477,f381]) ).
fof(f381,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f32,f380]) ).
fof(f380,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f378,f68]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_9
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f378,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f108,f59]) ).
fof(f59,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_8
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f108,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f101,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f101,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
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(f32,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f477,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f89,f409]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f392,f108]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f171,f381]) ).
fof(f171,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
| ~ spl0_1 ),
inference(superposition,[],[f108,f135]) ).
fof(f135,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f32]) ).
fof(f89,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f474,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f469,f429]) ).
fof(f429,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f428,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f92,f68]) ).
fof(f92,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_12
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f469,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f415,f396]) ).
fof(f396,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f214,f381]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(backward_demodulation,[],[f155,f77]) ).
fof(f77,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_10
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f155,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f135,f35]) ).
fof(f35,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f379,f409]) ).
fof(f379,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f59]) ).
fof(f455,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| spl0_18 ),
inference(subsumption_resolution,[],[f451,f59]) ).
fof(f451,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_9
| spl0_18 ),
inference(backward_demodulation,[],[f357,f445]) ).
fof(f445,plain,
( sk_c2 = sk_c1
| ~ spl0_3
| ~ spl0_9 ),
inference(backward_demodulation,[],[f174,f443]) ).
fof(f443,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f108,f369]) ).
fof(f369,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f68]) ).
fof(f174,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_3 ),
inference(superposition,[],[f108,f97]) ).
fof(f97,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f357,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| spl0_18 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl0_18
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f425,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f422,f59]) ).
fof(f422,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f421,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f87,f68]) ).
fof(f87,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_11
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f403,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f402,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_19 ),
inference(subsumption_resolution,[],[f383,f360]) ).
fof(f360,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_19 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl0_19
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f383,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f77,f381]) ).
fof(f371,plain,
( ~ spl0_19
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f370,f94,f67,f58,f359]) ).
fof(f94,plain,
( spl0_13
<=> ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f370,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f367,f59]) ).
fof(f367,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f95,f68]) ).
fof(f95,plain,
( ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f361,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f350,f94,f38,f359,f356]) ).
fof(f350,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f95,f39]) ).
fof(f354,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f352,f277]) ).
fof(f277,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f125,f270]) ).
fof(f270,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f267,f172]) ).
fof(f172,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f108,f117]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f110,f43]) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f110,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f109,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f97]) ).
fof(f267,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f108,f214]) ).
fof(f125,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f121,f117]) ).
fof(f121,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f103,f35]) ).
fof(f103,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f43]) ).
fof(f352,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f350,f117]) ).
fof(f314,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f277,f242]) ).
fof(f242,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f240,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f87,f39]) ).
fof(f223,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f221,f43]) ).
fof(f221,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f220]) ).
fof(f220,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f92,f39]) ).
fof(f213,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f194,f54,f50,f46,f42,f38,f34,f76]) ).
fof(f46,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f50,plain,
( spl0_6
<=> sk_c4 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f54,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f194,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f55,f191]) ).
fof(f191,plain,
( sk_c5 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f190,f151]) ).
fof(f151,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f146,f35]) ).
fof(f146,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f105,f117]) ).
fof(f105,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f55]) ).
fof(f190,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f180,f51]) ).
fof(f51,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f180,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f108,f47]) ).
fof(f47,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f55,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f133,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f129,f42,f38,f34,f31]) ).
fof(f129,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f110,f125]) ).
fof(f96,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_10
| ~ spl0_2
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f29,f94,f91,f34,f76,f86,f31]) ).
fof(f29,plain,
! [X3,X4,X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| inverse(X5) != X6
| sk_c6 != multiply(X5,X6)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f83,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f54,f76]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f82,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f50,f76]) ).
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(f81,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f46,f76]) ).
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(f80,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f42,f76]) ).
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(f79,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f38,f76]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f78,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f34,f76]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f71,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f42,f67]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f70,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f38,f67]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f69,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f34,f67]) ).
fof(f16,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f62,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f42,f58]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f61,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f38,f58]) ).
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) ).
fof(f60,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f34,f58]) ).
fof(f10,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f44,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f42,f31]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f40,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f38,f31]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f34,f31]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP299-1 : TPTP v8.2.0. Released v2.5.0.
% 0.04/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun May 19 04:22:22 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.09/0.30 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.72 % (31216)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.52/0.72 % (31220)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.52/0.73 % (31218)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.52/0.73 % (31221)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.52/0.73 % (31222)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.52/0.73 % (31223)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.52/0.73 % (31216)Refutation not found, incomplete strategy% (31216)------------------------------
% 0.52/0.73 % (31216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31220)Refutation not found, incomplete strategy% (31220)------------------------------
% 0.52/0.73 % (31220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31220)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31220)Memory used [KB]: 1002
% 0.52/0.73 % (31220)Time elapsed: 0.002 s
% 0.52/0.73 % (31220)Instructions burned: 4 (million)
% 0.52/0.73 % (31216)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31216)Memory used [KB]: 1002
% 0.52/0.73 % (31216)Time elapsed: 0.002 s
% 0.52/0.73 % (31216)Instructions burned: 4 (million)
% 0.52/0.73 % (31220)------------------------------
% 0.52/0.73 % (31220)------------------------------
% 0.52/0.73 % (31216)------------------------------
% 0.52/0.73 % (31216)------------------------------
% 0.52/0.73 % (31217)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.52/0.73 % (31223)Refutation not found, incomplete strategy% (31223)------------------------------
% 0.52/0.73 % (31223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31223)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31223)Memory used [KB]: 987
% 0.52/0.73 % (31223)Time elapsed: 0.003 s
% 0.52/0.73 % (31223)Instructions burned: 3 (million)
% 0.52/0.73 % (31223)------------------------------
% 0.52/0.73 % (31223)------------------------------
% 0.52/0.73 % (31221)Refutation not found, incomplete strategy% (31221)------------------------------
% 0.52/0.73 % (31221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31221)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31221)Memory used [KB]: 1056
% 0.52/0.73 % (31221)Time elapsed: 0.004 s
% 0.52/0.73 % (31221)Instructions burned: 5 (million)
% 0.52/0.73 % (31221)------------------------------
% 0.52/0.73 % (31221)------------------------------
% 0.52/0.73 % (31218)Refutation not found, incomplete strategy% (31218)------------------------------
% 0.52/0.73 % (31218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31218)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31218)Memory used [KB]: 1064
% 0.52/0.73 % (31218)Time elapsed: 0.004 s
% 0.52/0.73 % (31218)Instructions burned: 6 (million)
% 0.52/0.73 % (31218)------------------------------
% 0.52/0.73 % (31218)------------------------------
% 0.52/0.73 % (31219)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.52/0.73 % (31222)Refutation not found, incomplete strategy% (31222)------------------------------
% 0.52/0.73 % (31222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31222)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31222)Memory used [KB]: 1078
% 0.52/0.73 % (31222)Time elapsed: 0.005 s
% 0.52/0.73 % (31222)Instructions burned: 6 (million)
% 0.52/0.73 % (31222)------------------------------
% 0.52/0.73 % (31222)------------------------------
% 0.52/0.73 % (31224)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.52/0.73 % (31219)Refutation not found, incomplete strategy% (31219)------------------------------
% 0.52/0.73 % (31219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31219)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31219)Memory used [KB]: 985
% 0.52/0.73 % (31219)Time elapsed: 0.001 s
% 0.52/0.73 % (31219)Instructions burned: 3 (million)
% 0.52/0.73 % (31219)------------------------------
% 0.52/0.73 % (31219)------------------------------
% 0.52/0.73 % (31227)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.52/0.73 % (31226)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.52/0.73 % (31225)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.52/0.73 % (31224)Refutation not found, incomplete strategy% (31224)------------------------------
% 0.52/0.73 % (31224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31229)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.52/0.73 % (31224)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31224)Memory used [KB]: 1075
% 0.52/0.73 % (31224)Time elapsed: 0.005 s
% 0.52/0.73 % (31224)Instructions burned: 6 (million)
% 0.52/0.73 % (31224)------------------------------
% 0.52/0.73 % (31224)------------------------------
% 0.52/0.73 % (31230)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.52/0.73 % (31225)Refutation not found, incomplete strategy% (31225)------------------------------
% 0.52/0.73 % (31225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (31225)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (31225)Memory used [KB]: 997
% 0.52/0.73 % (31225)Time elapsed: 0.002 s
% 0.52/0.73 % (31225)Instructions burned: 5 (million)
% 0.60/0.73 % (31225)------------------------------
% 0.60/0.73 % (31225)------------------------------
% 0.60/0.73 % (31229)Refutation not found, incomplete strategy% (31229)------------------------------
% 0.60/0.73 % (31229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73 % (31229)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.73
% 0.60/0.73 % (31229)Memory used [KB]: 1009
% 0.60/0.73 % (31229)Time elapsed: 0.003 s
% 0.60/0.73 % (31229)Instructions burned: 3 (million)
% 0.60/0.73 % (31229)------------------------------
% 0.60/0.73 % (31229)------------------------------
% 0.60/0.74 % (31231)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.74 % (31232)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.60/0.74 % (31231)Refutation not found, incomplete strategy% (31231)------------------------------
% 0.60/0.74 % (31231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.74 % (31231)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74
% 0.60/0.74 % (31231)Memory used [KB]: 988
% 0.60/0.74 % (31231)Time elapsed: 0.001 s
% 0.60/0.74 % (31231)Instructions burned: 3 (million)
% 0.60/0.74 % (31231)------------------------------
% 0.60/0.74 % (31231)------------------------------
% 0.60/0.74 % (31233)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.60/0.74 % (31228)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.74 % (31227)First to succeed.
% 0.60/0.74 % (31232)Refutation not found, incomplete strategy% (31232)------------------------------
% 0.60/0.74 % (31232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.74 % (31232)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74
% 0.60/0.74 % (31232)Memory used [KB]: 1004
% 0.60/0.74 % (31232)Time elapsed: 0.003 s
% 0.60/0.74 % (31232)Instructions burned: 4 (million)
% 0.60/0.74 % (31232)------------------------------
% 0.60/0.74 % (31232)------------------------------
% 0.60/0.74 % (31227)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31215"
% 0.60/0.74 % (31234)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.60/0.74 % (31227)Refutation found. Thanks to Tanya!
% 0.60/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.60/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.74 % (31227)------------------------------
% 0.60/0.74 % (31227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.74 % (31227)Termination reason: Refutation
% 0.60/0.74
% 0.60/0.74 % (31227)Memory used [KB]: 1149
% 0.60/0.74 % (31227)Time elapsed: 0.009 s
% 0.60/0.74 % (31227)Instructions burned: 28 (million)
% 0.60/0.74 % (31215)Success in time 0.425 s
% 0.60/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------