TSTP Solution File: GRP300-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP300-1 : TPTP v8.1.2. 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 : n026.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 May 1 02:28:26 EDT 2024
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 29
% Syntax : Number of formulae : 118 ( 6 unt; 0 def)
% Number of atoms : 357 ( 122 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 449 ( 210 ~; 228 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1037,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f42,f47,f52,f68,f69,f70,f77,f78,f79,f80,f88,f89,f90,f99,f127,f145,f274,f372,f404,f406,f415,f446,f1032]) ).
fof(f1032,plain,
( spl0_14
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1025,f84,f74,f64,f30,f247]) ).
fof(f247,plain,
( spl0_14
<=> sk_c6 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f30,plain,
( spl0_1
<=> multiply(sk_c6,sk_c5) = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f64,plain,
( spl0_8
<=> sk_c5 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f74,plain,
( spl0_9
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f84,plain,
( spl0_10
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1025,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f76,f973]) ).
fof(f973,plain,
( sk_c6 = sk_c1
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f965,f878]) ).
fof(f878,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f114,f441]) ).
fof(f441,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f86,f425]) ).
fof(f425,plain,
( sk_c6 = sk_c4
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f422,f32]) ).
fof(f32,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f422,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f419,f66]) ).
fof(f66,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f418,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',left_identity) ).
fof(f418,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f286]) ).
fof(f286,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f76]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',associativity) ).
fof(f86,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f114,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f105,f1]) ).
fof(f105,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f965,plain,
( sk_c1 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f881,f954]) ).
fof(f954,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f879,f2]) ).
fof(f879,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f114,f422]) ).
fof(f881,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_9 ),
inference(superposition,[],[f114,f286]) ).
fof(f76,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f446,plain,
( ~ spl0_14
| ~ spl0_1
| spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f445,f74,f64,f49,f30,f247]) ).
fof(f49,plain,
( spl0_5
<=> sk_c4 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f445,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl0_1
| spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f50,f425]) ).
fof(f50,plain,
( sk_c4 != inverse(sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f415,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f413]) ).
fof(f413,plain,
( sk_c6 != sk_c6
| spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f291,f373]) ).
fof(f373,plain,
( sk_c6 = sk_c4
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f248,f51]) ).
fof(f51,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f248,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f291,plain,
( sk_c6 != sk_c4
| spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f35,f132]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f131,f116]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f108,f1]) ).
fof(f108,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f101]) ).
fof(f101,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f2,f51]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f86]) ).
fof(f35,plain,
( sk_c6 != multiply(sk_c5,sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c5,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f406,plain,
( ~ spl0_14
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f405,f94,f84,f74,f64,f49,f30,f247]) ).
fof(f94,plain,
( spl0_11
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f405,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f387,f368]) ).
fof(f368,plain,
( sk_c6 = sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f294,f333]) ).
fof(f333,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f116,f315]) ).
fof(f315,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f290,f86]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,X0)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f289,f132]) ).
fof(f289,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f32]) ).
fof(f294,plain,
( sk_c1 = multiply(sk_c4,sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f116,f287]) ).
fof(f287,plain,
( sk_c5 = multiply(sk_c6,sk_c1)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f286,f129]) ).
fof(f129,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f86,f101]) ).
fof(f387,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( sk_c5 != sk_c5
| sk_c6 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f95,f66]) ).
fof(f95,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f404,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f388,f94,f39,f44]) ).
fof(f44,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f39,plain,
( spl0_3
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f388,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f385]) ).
fof(f385,plain,
( sk_c5 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f95,f41]) ).
fof(f41,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f372,plain,
( spl0_14
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f371,f84,f74,f49,f30,f247]) ).
fof(f371,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f76,f368]) ).
fof(f274,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f273,f97,f84,f49,f34,f94]) ).
fof(f97,plain,
( spl0_12
<=> ! [X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f273,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f272,f134]) ).
fof(f134,plain,
( sk_c6 = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f132,f36]) ).
fof(f36,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f272,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f98,f134]) ).
fof(f98,plain,
( ! [X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f145,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f143]) ).
fof(f143,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f121,f134]) ).
fof(f121,plain,
( sk_c6 != sk_c4
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f31,f118]) ).
fof(f118,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f115,f41]) ).
fof(f115,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f106,f1]) ).
fof(f106,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f100]) ).
fof(f100,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_4 ),
inference(superposition,[],[f2,f46]) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f31,plain,
( multiply(sk_c6,sk_c5) != sk_c4
| spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f127,plain,
( spl0_10
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f125,f49,f44,f39,f84]) ).
fof(f125,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f116,f118]) ).
fof(f99,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_10
| ~ spl0_2
| spl0_11
| ~ spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f28,f97,f49,f94,f34,f84,f94,f30]) ).
fof(f28,axiom,
! [X3,X4,X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4)
| sk_c4 != inverse(sk_c6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c5 != multiply(sk_c4,sk_c6)
| sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c4 ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_25) ).
fof(f90,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f49,f84]) ).
fof(f25,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_22) ).
fof(f89,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f44,f84]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_21) ).
fof(f88,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f39,f84]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_20) ).
fof(f80,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f49,f74]) ).
fof(f19,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_16) ).
fof(f79,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f44,f74]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_15) ).
fof(f78,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f39,f74]) ).
fof(f17,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_14) ).
fof(f77,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f34,f74]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_13) ).
fof(f70,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f49,f64]) ).
fof(f13,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_10) ).
fof(f69,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f44,f64]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_9) ).
fof(f68,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f39,f64]) ).
fof(f11,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_8) ).
fof(f52,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f49,f30]) ).
fof(f7,axiom,
( sk_c4 = inverse(sk_c6)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_4) ).
fof(f47,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f44,f30]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_3) ).
fof(f42,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f39,f30]) ).
fof(f5,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_2) ).
fof(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f34,f30]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP300-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 18:45:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 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/tmp/tmp.WZ2oFHK08a/Vampire---4.8_18461
% 0.56/0.74 % (18719)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 Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (18713)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (18715)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (18716)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (18714)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 Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (18717)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (18718)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (18716)Refutation not found, incomplete strategy% (18716)------------------------------
% 0.56/0.74 % (18716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18716)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18716)Memory used [KB]: 983
% 0.56/0.74 % (18716)Time elapsed: 0.003 s
% 0.56/0.74 % (18716)Instructions burned: 3 (million)
% 0.56/0.74 % (18716)------------------------------
% 0.56/0.74 % (18716)------------------------------
% 0.56/0.74 % (18717)Refutation not found, incomplete strategy% (18717)------------------------------
% 0.56/0.74 % (18717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18717)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18717)Memory used [KB]: 1000
% 0.56/0.74 % (18717)Time elapsed: 0.003 s
% 0.56/0.74 % (18717)Instructions burned: 3 (million)
% 0.56/0.74 % (18717)------------------------------
% 0.56/0.74 % (18717)------------------------------
% 0.56/0.74 % (18715)Refutation not found, incomplete strategy% (18715)------------------------------
% 0.56/0.74 % (18715)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18715)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18715)Memory used [KB]: 1054
% 0.56/0.74 % (18715)Time elapsed: 0.004 s
% 0.56/0.74 % (18715)Instructions burned: 4 (million)
% 0.56/0.74 % (18715)------------------------------
% 0.56/0.74 % (18715)------------------------------
% 0.56/0.74 % (18713)Refutation not found, incomplete strategy% (18713)------------------------------
% 0.56/0.74 % (18713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18713)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18713)Memory used [KB]: 1000
% 0.56/0.74 % (18713)Time elapsed: 0.004 s
% 0.56/0.74 % (18713)Instructions burned: 3 (million)
% 0.56/0.74 % (18713)------------------------------
% 0.56/0.74 % (18713)------------------------------
% 0.56/0.75 % (18718)Refutation not found, incomplete strategy% (18718)------------------------------
% 0.56/0.75 % (18718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18718)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18718)Memory used [KB]: 989
% 0.56/0.75 % (18718)Time elapsed: 0.004 s
% 0.56/0.75 % (18718)Instructions burned: 4 (million)
% 0.56/0.75 % (18718)------------------------------
% 0.56/0.75 % (18718)------------------------------
% 0.56/0.75 % (18720)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75 % (18720)Refutation not found, incomplete strategy% (18720)------------------------------
% 0.56/0.75 % (18720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18720)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18720)Memory used [KB]: 985
% 0.56/0.75 % (18720)Time elapsed: 0.003 s
% 0.56/0.75 % (18720)Instructions burned: 3 (million)
% 0.56/0.75 % (18720)------------------------------
% 0.56/0.75 % (18720)------------------------------
% 0.56/0.75 % (18721)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 Vampire---4 for (2996ds/55Mi)
% 0.56/0.75 % (18723)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.75 % (18724)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 Vampire---4 for (2996ds/52Mi)
% 0.56/0.75 % (18725)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 Vampire---4 for (2996ds/518Mi)
% 0.56/0.75 % (18722)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 Vampire---4 for (2996ds/50Mi)
% 0.56/0.75 % (18721)Refutation not found, incomplete strategy% (18721)------------------------------
% 0.56/0.75 % (18721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18721)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18721)Memory used [KB]: 1065
% 0.56/0.75 % (18721)Time elapsed: 0.005 s
% 0.56/0.75 % (18721)Instructions burned: 5 (million)
% 0.56/0.75 % (18721)------------------------------
% 0.56/0.75 % (18721)------------------------------
% 0.56/0.75 % (18725)Refutation not found, incomplete strategy% (18725)------------------------------
% 0.56/0.75 % (18725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18724)Refutation not found, incomplete strategy% (18724)------------------------------
% 0.56/0.75 % (18724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18724)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18724)Memory used [KB]: 991
% 0.56/0.75 % (18724)Time elapsed: 0.004 s
% 0.56/0.75 % (18724)Instructions burned: 4 (million)
% 0.56/0.75 % (18724)------------------------------
% 0.56/0.75 % (18724)------------------------------
% 0.56/0.75 % (18725)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18722)Refutation not found, incomplete strategy% (18722)------------------------------
% 0.56/0.75 % (18722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18722)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18722)Memory used [KB]: 988
% 0.56/0.75 % (18722)Time elapsed: 0.003 s
% 0.56/0.75 % (18722)Instructions burned: 4 (million)
% 0.56/0.75 % (18722)------------------------------
% 0.56/0.75 % (18722)------------------------------
% 0.56/0.75 % (18725)Memory used [KB]: 989
% 0.56/0.75 % (18725)Time elapsed: 0.004 s
% 0.56/0.75 % (18725)Instructions burned: 4 (million)
% 0.56/0.75 % (18725)------------------------------
% 0.56/0.75 % (18725)------------------------------
% 0.56/0.75 % (18726)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 Vampire---4 for (2996ds/42Mi)
% 0.56/0.76 % (18729)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 Vampire---4 for (2996ds/143Mi)
% 0.56/0.76 % (18727)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 Vampire---4 for (2996ds/243Mi)
% 0.56/0.76 % (18726)Refutation not found, incomplete strategy% (18726)------------------------------
% 0.56/0.76 % (18726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18726)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (18726)Memory used [KB]: 1001
% 0.56/0.76 % (18726)Time elapsed: 0.003 s
% 0.56/0.76 % (18726)Instructions burned: 3 (million)
% 0.56/0.76 % (18726)------------------------------
% 0.56/0.76 % (18726)------------------------------
% 0.56/0.76 % (18728)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.56/0.76 % (18729)Refutation not found, incomplete strategy% (18729)------------------------------
% 0.56/0.76 % (18729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18729)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (18729)Memory used [KB]: 1002
% 0.56/0.76 % (18729)Time elapsed: 0.004 s
% 0.56/0.76 % (18729)Instructions burned: 3 (million)
% 0.56/0.76 % (18729)------------------------------
% 0.56/0.76 % (18729)------------------------------
% 0.56/0.76 % (18728)Refutation not found, incomplete strategy% (18728)------------------------------
% 0.56/0.76 % (18728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18730)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 Vampire---4 for (2996ds/93Mi)
% 0.56/0.76 % (18728)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (18728)Memory used [KB]: 986
% 0.56/0.76 % (18728)Time elapsed: 0.004 s
% 0.56/0.76 % (18728)Instructions burned: 3 (million)
% 0.56/0.76 % (18728)------------------------------
% 0.56/0.76 % (18728)------------------------------
% 0.56/0.76 % (18714)First to succeed.
% 0.56/0.76 % (18731)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 Vampire---4 for (2996ds/62Mi)
% 0.56/0.76 % (18714)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (18714)------------------------------
% 0.56/0.76 % (18714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18714)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (18714)Memory used [KB]: 1327
% 0.56/0.76 % (18714)Time elapsed: 0.019 s
% 0.56/0.76 % (18714)Instructions burned: 32 (million)
% 0.56/0.76 % (18714)------------------------------
% 0.56/0.76 % (18714)------------------------------
% 0.56/0.76 % (18709)Success in time 0.393 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------