TSTP Solution File: GRP211-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP211-1 : 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 : n016.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 21:07:36 EDT 2024
% Result : Unsatisfiable 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 45
% Syntax : Number of formulae : 149 ( 4 unt; 0 def)
% Number of atoms : 422 ( 172 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 505 ( 232 ~; 257 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f994,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f45,f50,f55,f60,f65,f66,f67,f68,f69,f74,f75,f76,f77,f78,f83,f84,f85,f86,f87,f92,f93,f94,f95,f96,f106,f117,f125,f129,f171,f180,f186,f242,f675,f676,f729,f733,f736,f982]) ).
fof(f982,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f952,f101,f89,f80]) ).
fof(f80,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f89,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f101,plain,
( spl0_12
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f952,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f950]) ).
fof(f950,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f102,f91]) ).
fof(f91,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f102,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f736,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f735,f89,f80,f62,f33,f672]) ).
fof(f672,plain,
( spl0_21
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f33,plain,
( spl0_1
<=> multiply(sk_c1,sk_c2) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f62,plain,
( spl0_7
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f735,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f734,f35]) ).
fof(f35,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f734,plain,
( multiply(sk_c1,sk_c2) = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f225,f199]) ).
fof(f199,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f194,f91]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f193,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f193,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f187]) ).
fof(f187,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_9 ),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
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(f225,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f188,f195]) ).
fof(f195,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f192,f35]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f191,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f182]) ).
fof(f182,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f35]) ).
fof(f733,plain,
( ~ spl0_14
| spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f732,f672,f42,f110]) ).
fof(f110,plain,
( spl0_14
<=> sk_c8 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f42,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f732,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f43,f673]) ).
fof(f673,plain,
( sk_c8 = sk_c7
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f43,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f729,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f728,f110,f89,f80,f37,f672]) ).
fof(f37,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f728,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f199,f244]) ).
fof(f244,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f155,f111]) ).
fof(f111,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f132]) ).
fof(f132,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f676,plain,
( ~ spl0_2
| ~ spl0_21
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f614,f104,f37,f672,f37]) ).
fof(f104,plain,
( spl0_13
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f614,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f105,f155]) ).
fof(f105,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f675,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f615,f104,f80,f672,f80]) ).
fof(f615,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f105,f194]) ).
fof(f242,plain,
( spl0_14
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f236,f62,f42,f37,f33,f110]) ).
fof(f236,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f44,f230]) ).
fof(f230,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f229,f35]) ).
fof(f229,plain,
( multiply(sk_c1,sk_c2) = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f225,f157]) ).
fof(f157,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f155,f44]) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f186,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f185,f98,f71,f62,f33]) ).
fof(f71,plain,
( spl0_8
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f98,plain,
( spl0_11
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f185,plain,
( multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f184]) ).
fof(f184,plain,
( sk_c8 != sk_c8
| multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f183,f73]) ).
fof(f73,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f183,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f99,f64]) ).
fof(f99,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f180,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| spl0_15 ),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f177,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| spl0_15 ),
inference(superposition,[],[f169,f172]) ).
fof(f172,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f155,f111]) ).
fof(f169,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_15 ),
inference(superposition,[],[f116,f164]) ).
fof(f164,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f161,f49]) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f161,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f156,f54]) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f156,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f149,f1]) ).
fof(f149,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f133]) ).
fof(f133,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f116,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_15
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f171,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f170,f57,f52,f47,f42,f110]) ).
fof(f170,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f44,f164]) ).
fof(f129,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f128,f104,f57,f52,f47]) ).
fof(f128,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f127]) ).
fof(f127,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f126,f59]) ).
fof(f126,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f105,f54]) ).
fof(f125,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f124,f101,f42,f37]) ).
fof(f124,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f123]) ).
fof(f123,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f102,f44]) ).
fof(f117,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f107,f98,f37,f114,f110]) ).
fof(f107,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f99,f39]) ).
fof(f106,plain,
( spl0_11
| spl0_12
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f31,f104,f101,f101,f98]) ).
fof(f31,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X4,sk_c7)
| inverse(X3) != X4
| sk_c8 != multiply(X3,X4) ),
inference(equality_resolution,[],[f29]) ).
fof(f29,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X8)
| multiply(X8,sk_c8) != X7
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X4,sk_c7)
| inverse(X3) != X4
| sk_c8 != multiply(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f96,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f57,f89]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f95,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f52,f89]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f94,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f47,f89]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f93,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f42,f89]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f92,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f37,f89]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f87,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f57,f80]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f86,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f52,f80]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f85,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f47,f80]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f84,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f42,f80]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f83,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f37,f80]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f78,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f57,f71]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f77,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f52,f71]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f76,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f47,f71]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f75,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f42,f71]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f74,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f37,f71]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f69,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f57,f62]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f68,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f52,f62]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f67,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f47,f62]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f66,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f42,f62]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f65,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f37,f62]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f60,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f57,f33]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f55,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f52,f33]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f50,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f47,f33]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f45,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f42,f33]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f40,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f37,f33]) ).
fof(f4,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP211-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.15 % 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
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 05:45:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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/benchmark/theBenchmark.p
% 0.58/0.75 % (7601)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 (2996ds/83Mi)
% 0.58/0.75 % (7595)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 (2996ds/34Mi)
% 0.58/0.75 % (7596)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 (2996ds/51Mi)
% 0.58/0.75 % (7597)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.75 % (7598)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.75 % (7599)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 (2996ds/34Mi)
% 0.58/0.75 % (7600)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.75 % (7595)Refutation not found, incomplete strategy% (7595)------------------------------
% 0.58/0.75 % (7595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (7595)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75 % (7598)Refutation not found, incomplete strategy% (7598)------------------------------
% 0.58/0.75 % (7598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75
% 0.58/0.75 % (7595)Memory used [KB]: 1009
% 0.58/0.75 % (7595)Time elapsed: 0.003 s
% 0.58/0.75 % (7595)Instructions burned: 4 (million)
% 0.58/0.75 % (7598)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (7598)Memory used [KB]: 992
% 0.58/0.75 % (7598)Time elapsed: 0.003 s
% 0.58/0.75 % (7598)Instructions burned: 3 (million)
% 0.58/0.75 % (7599)Refutation not found, incomplete strategy% (7599)------------------------------
% 0.58/0.75 % (7599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (7599)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (7599)Memory used [KB]: 1010
% 0.58/0.75 % (7599)Time elapsed: 0.003 s
% 0.58/0.75 % (7599)Instructions burned: 4 (million)
% 0.58/0.75 % (7595)------------------------------
% 0.58/0.75 % (7595)------------------------------
% 0.58/0.75 % (7598)------------------------------
% 0.58/0.75 % (7598)------------------------------
% 0.58/0.75 % (7599)------------------------------
% 0.58/0.75 % (7599)------------------------------
% 0.58/0.75 % (7597)Refutation not found, incomplete strategy% (7597)------------------------------
% 0.58/0.75 % (7597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (7597)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (7597)Memory used [KB]: 1067
% 0.58/0.75 % (7597)Time elapsed: 0.004 s
% 0.58/0.75 % (7597)Instructions burned: 5 (million)
% 0.58/0.75 % (7597)------------------------------
% 0.58/0.75 % (7597)------------------------------
% 0.58/0.75 % (7602)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 (2996ds/56Mi)
% 0.58/0.75 % (7603)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 (2996ds/55Mi)
% 0.58/0.75 % (7605)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 (2996ds/208Mi)
% 0.58/0.75 % (7604)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 (2996ds/50Mi)
% 0.58/0.75 % (7602)Refutation not found, incomplete strategy% (7602)------------------------------
% 0.58/0.75 % (7602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (7602)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (7602)Memory used [KB]: 994
% 0.58/0.75 % (7602)Time elapsed: 0.004 s
% 0.58/0.75 % (7602)Instructions burned: 3 (million)
% 0.58/0.76 % (7602)------------------------------
% 0.58/0.76 % (7602)------------------------------
% 0.58/0.76 % (7604)Refutation not found, incomplete strategy% (7604)------------------------------
% 0.58/0.76 % (7604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (7604)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (7604)Memory used [KB]: 997
% 0.58/0.76 % (7604)Time elapsed: 0.004 s
% 0.58/0.76 % (7604)Instructions burned: 5 (million)
% 0.62/0.76 % (7604)------------------------------
% 0.62/0.76 % (7604)------------------------------
% 0.62/0.76 % (7606)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 (2996ds/52Mi)
% 0.62/0.76 % (7605)Refutation not found, incomplete strategy% (7605)------------------------------
% 0.62/0.76 % (7605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (7605)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (7605)Memory used [KB]: 1080
% 0.62/0.76 % (7605)Time elapsed: 0.006 s
% 0.62/0.76 % (7605)Instructions burned: 7 (million)
% 0.62/0.76 % (7605)------------------------------
% 0.62/0.76 % (7605)------------------------------
% 0.62/0.76 % (7606)Refutation not found, incomplete strategy% (7606)------------------------------
% 0.62/0.76 % (7606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (7606)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (7606)Memory used [KB]: 1067
% 0.62/0.76 % (7606)Time elapsed: 0.004 s
% 0.62/0.76 % (7606)Instructions burned: 5 (million)
% 0.62/0.76 % (7606)------------------------------
% 0.62/0.76 % (7606)------------------------------
% 0.62/0.76 % (7607)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 (2996ds/518Mi)
% 0.62/0.76 % (7608)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 (2996ds/42Mi)
% 0.62/0.76 % (7608)Refutation not found, incomplete strategy% (7608)------------------------------
% 0.62/0.76 % (7608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (7608)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (7608)Memory used [KB]: 1007
% 0.62/0.76 % (7596)First to succeed.
% 0.62/0.76 % (7608)Time elapsed: 0.003 s
% 0.62/0.76 % (7608)Instructions burned: 3 (million)
% 0.62/0.76 % (7610)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 (2996ds/117Mi)
% 0.62/0.76 % (7608)------------------------------
% 0.62/0.76 % (7608)------------------------------
% 0.62/0.76 % (7609)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 (2996ds/243Mi)
% 0.62/0.76 % (7610)Refutation not found, incomplete strategy% (7610)------------------------------
% 0.62/0.76 % (7610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (7610)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (7610)Memory used [KB]: 996
% 0.62/0.76 % (7610)Time elapsed: 0.003 s
% 0.62/0.76 % (7610)Instructions burned: 3 (million)
% 0.62/0.76 % (7610)------------------------------
% 0.62/0.76 % (7610)------------------------------
% 0.62/0.77 % (7596)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7594"
% 0.62/0.77 % (7596)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.77 % (7596)------------------------------
% 0.62/0.77 % (7596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (7596)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (7596)Memory used [KB]: 1263
% 0.62/0.77 % (7596)Time elapsed: 0.020 s
% 0.62/0.77 % (7596)Instructions burned: 33 (million)
% 0.62/0.77 % (7594)Success in time 0.389 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------