TSTP Solution File: GRP315-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP315-1 : 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 : n023.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 21:08:03 EDT 2024
% Result : Unsatisfiable 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 173 ( 7 unt; 0 def)
% Number of atoms : 529 ( 185 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 704 ( 348 ~; 340 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f725,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f35,f40,f45,f50,f51,f52,f53,f58,f59,f60,f61,f66,f67,f68,f69,f86,f89,f112,f115,f129,f153,f164,f172,f183,f478,f509,f576,f639,f693,f723]) ).
fof(f723,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f718,f96,f42,f37,f32,f27,f124]) ).
fof(f124,plain,
( spl0_19
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f27,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f32,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f37,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f42,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f96,plain,
( spl0_15
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f718,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f34,f711]) ).
fof(f711,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f709,f673]) ).
fof(f673,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f672,f585]) ).
fof(f585,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f290,f34]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f289,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f29]) ).
fof(f29,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
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(f672,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f665,f664]) ).
fof(f664,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f586,f640]) ).
fof(f640,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f262,f44]) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f261,f1]) ).
fof(f261,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f586,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f34]) ).
fof(f665,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f586,f4]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f709,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f586,f703]) ).
fof(f703,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f681,f97]) ).
fof(f97,plain,
( sk_c6 = sk_c5
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f681,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f678,f640]) ).
fof(f678,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f203,f673]) ).
fof(f203,plain,
! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0)),
inference(superposition,[],[f3,f4]) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f693,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f692,f42,f37,f32,f27,f96]) ).
fof(f692,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f691,f44]) ).
fof(f691,plain,
( sk_c5 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f686,f640]) ).
fof(f686,plain,
( multiply(sk_c4,sk_c5) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f641,f681]) ).
fof(f641,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f44]) ).
fof(f639,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f636,f96,f78,f42,f37]) ).
fof(f78,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f636,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f635,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f580,f582]) ).
fof(f582,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f44,f97]) ).
fof(f580,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f79,f97]) ).
fof(f79,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f576,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f575,f96,f63,f55,f124]) ).
fof(f55,plain,
( spl0_7
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f63,plain,
( spl0_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f575,plain,
( sk_c6 = sk_c7
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f550,f97]) ).
fof(f550,plain,
( sk_c7 = sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f4,f522]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f514,f97]) ).
fof(f514,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f345,f499]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f489,f215]) ).
fof(f215,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f205,f1]) ).
fof(f205,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f188]) ).
fof(f188,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f65]) ).
fof(f65,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f489,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f345,f97]) ).
fof(f345,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c5,multiply(sk_c2,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f288,f215]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f57]) ).
fof(f57,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f509,plain,
( ~ spl0_15
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f506,f96,f84,f63,f55,f96]) ).
fof(f84,plain,
( spl0_13
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f506,plain,
( sk_c6 != sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f495,f4]) ).
fof(f495,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f370,f97]) ).
fof(f370,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f369,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f367,f65]) ).
fof(f367,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != inverse(sk_c2)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f85,f349]) ).
fof(f349,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c2,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f288,f4]) ).
fof(f85,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f478,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f474,f63,f55,f47,f23,f96]) ).
fof(f23,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f47,plain,
( spl0_6
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f474,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f4,f462]) ).
fof(f462,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f449,f25]) ).
fof(f25,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f449,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f448,f332]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f3,f328]) ).
fof(f328,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f323,f25]) ).
fof(f323,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f286,f296]) ).
fof(f296,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f292,f25]) ).
fof(f292,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f291,f1]) ).
fof(f291,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f284]) ).
fof(f284,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_6 ),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f25]) ).
fof(f448,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f435,f322]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f286,f292]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f293,f306]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_6 ),
inference(superposition,[],[f203,f292]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f3,f287]) ).
fof(f287,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f215,f57]) ).
fof(f183,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f181]) ).
fof(f181,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f179,f154]) ).
fof(f154,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f49,f125]) ).
fof(f125,plain,
( sk_c6 = sk_c7
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f179,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f177,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f174,f156]) ).
fof(f156,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f25,f125]) ).
fof(f174,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f173,f125]) ).
fof(f173,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f82,f125]) ).
fof(f82,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_12
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f172,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f170,f78,f55,f63]) ).
fof(f170,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f169]) ).
fof(f169,plain,
( sk_c5 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f79,f57]) ).
fof(f164,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f162]) ).
fof(f162,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f161,f154]) ).
fof(f161,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f160]) ).
fof(f160,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f141,f156]) ).
fof(f141,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f140,f125]) ).
fof(f140,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f76,f125]) ).
fof(f76,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_10
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f153,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f152,f124,f75,f32,f102]) ).
fof(f102,plain,
( spl0_16
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f152,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f151]) ).
fof(f151,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f144,f125]) ).
fof(f144,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f141,f34]) ).
fof(f129,plain,
( ~ spl0_19
| ~ spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f128,f102,f27,f124]) ).
fof(f128,plain,
( sk_c6 != sk_c7
| ~ spl0_2
| spl0_16 ),
inference(superposition,[],[f104,f29]) ).
fof(f104,plain,
( sk_c6 != inverse(sk_c3)
| spl0_16 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f115,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f114,f84,f42,f37]) ).
fof(f114,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f113]) ).
fof(f113,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f85,f44]) ).
fof(f112,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f111,f81,f32,f27]) ).
fof(f111,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f110]) ).
fof(f110,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f82,f34]) ).
fof(f89,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| spl0_9 ),
inference(trivial_inequality_removal,[],[f87]) ).
fof(f87,plain,
( sk_c5 != sk_c5
| spl0_9 ),
inference(superposition,[],[f73,f4]) ).
fof(f73,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_9
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f86,plain,
( ~ spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f84,f81,f78,f75,f71]) ).
fof(f21,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f69,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f42,f63]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f68,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f37,f63]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f67,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f32,f63]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f66,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f27,f63]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f61,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f42,f55]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f60,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f37,f55]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f59,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f32,f55]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f58,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f27,f55]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f53,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f42,f47]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f52,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f37,f47]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f51,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f32,f47]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f50,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f27,f47]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f45,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f42,f23]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f40,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f37,f23]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f35,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f32,f23]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f30,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f27,f23]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP315-1 : TPTP v8.2.0. Released v2.5.0.
% 0.04/0.14 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 04:33:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 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
% 0.58/0.73 % (26178)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)
% 0.58/0.74 % (26171)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)
% 0.58/0.74 % (26178)Refutation not found, incomplete strategy% (26178)------------------------------
% 0.58/0.74 % (26178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26178)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26178)Memory used [KB]: 983
% 0.58/0.74 % (26178)Time elapsed: 0.002 s
% 0.58/0.74 % (26178)Instructions burned: 3 (million)
% 0.58/0.74 % (26173)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.74 % (26174)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)
% 0.58/0.74 % (26172)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)
% 0.58/0.74 % (26175)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)
% 0.58/0.74 % (26176)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)
% 0.58/0.74 % (26178)------------------------------
% 0.58/0.74 % (26178)------------------------------
% 0.58/0.74 % (26177)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)
% 0.58/0.74 % (26171)Refutation not found, incomplete strategy% (26171)------------------------------
% 0.58/0.74 % (26171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26175)Refutation not found, incomplete strategy% (26175)------------------------------
% 0.58/0.74 % (26175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26175)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26175)Memory used [KB]: 997
% 0.58/0.74 % (26175)Time elapsed: 0.003 s
% 0.58/0.74 % (26175)Instructions burned: 3 (million)
% 0.58/0.74 % (26171)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26171)Memory used [KB]: 997
% 0.58/0.74 % (26171)Time elapsed: 0.003 s
% 0.58/0.74 % (26171)Instructions burned: 3 (million)
% 0.58/0.74 % (26174)Refutation not found, incomplete strategy% (26174)------------------------------
% 0.58/0.74 % (26174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26174)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26174)Memory used [KB]: 984
% 0.58/0.74 % (26174)Time elapsed: 0.003 s
% 0.58/0.74 % (26174)Instructions burned: 3 (million)
% 0.58/0.74 % (26175)------------------------------
% 0.58/0.74 % (26175)------------------------------
% 0.58/0.74 % (26171)------------------------------
% 0.58/0.74 % (26171)------------------------------
% 0.58/0.74 % (26174)------------------------------
% 0.58/0.74 % (26174)------------------------------
% 0.58/0.74 % (26179)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)
% 0.58/0.74 % (26180)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)
% 0.58/0.74 % (26181)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)
% 0.58/0.74 % (26182)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)
% 0.58/0.74 % (26180)Refutation not found, incomplete strategy% (26180)------------------------------
% 0.58/0.74 % (26180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26180)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26180)Memory used [KB]: 993
% 0.58/0.74 % (26180)Time elapsed: 0.003 s
% 0.58/0.74 % (26180)Instructions burned: 4 (million)
% 0.58/0.74 % (26180)------------------------------
% 0.58/0.74 % (26180)------------------------------
% 0.58/0.75 % (26183)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)
% 0.58/0.75 % (26172)First to succeed.
% 0.58/0.75 % (26172)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26169"
% 0.58/0.75 % (26172)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Unsatisfiable for theBenchmark
% 0.58/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.76 % (26172)------------------------------
% 0.58/0.76 % (26172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (26172)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (26172)Memory used [KB]: 1215
% 0.58/0.76 % (26172)Time elapsed: 0.019 s
% 0.58/0.76 % (26172)Instructions burned: 30 (million)
% 0.58/0.76 % (26169)Success in time 0.385 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------