TSTP Solution File: GRP222-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP222-1 : 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 : 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 : Wed May 1 02:28:09 EDT 2024
% Result : Unsatisfiable 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 110 ( 4 unt; 0 def)
% Number of atoms : 336 ( 127 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 436 ( 210 ~; 213 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f632,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f39,f44,f49,f54,f55,f56,f57,f62,f63,f70,f71,f78,f79,f91,f94,f101,f109,f142,f150,f160,f307,f617]) ).
fof(f617,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f607,f83,f51,f27]) ).
fof(f27,plain,
( spl0_1
<=> inverse(sk_c1) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f51,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f83,plain,
( spl0_10
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f607,plain,
( inverse(sk_c1) != sk_c7
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f593]) ).
fof(f593,plain,
( sk_c7 != sk_c7
| inverse(sk_c1) != sk_c7
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f84,f53]) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f84,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f307,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f305]) ).
fof(f305,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f304,f270]) ).
fof(f270,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f268,f220]) ).
fof(f220,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f217,f53]) ).
fof(f217,plain,
( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f151,f214]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f210,f61]) ).
fof(f61,plain,
( sk_c6 = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f210,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f152,f163]) ).
fof(f163,plain,
( sk_c3 = multiply(sk_c3,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f157,f61]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',left_identity) ).
fof(f156,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f146]) ).
fof(f146,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_8
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',associativity) ).
fof(f152,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f61]) ).
fof(f151,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f53]) ).
fof(f268,plain,
( sk_c3 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f155,f257]) ).
fof(f257,plain,
( sk_c6 = multiply(sk_c1,sk_c3)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f253,f99]) ).
fof(f99,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_13
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f253,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c3)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f151,f248]) ).
fof(f248,plain,
( sk_c3 = multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f244,f163]) ).
fof(f244,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c6,sk_c7)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f153,f99]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f77]) ).
fof(f77,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f29]) ).
fof(f29,plain,
( inverse(sk_c1) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f304,plain,
( sk_c7 != sk_c3
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f302,f69]) ).
fof(f302,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f90,f272]) ).
fof(f272,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f61,f270]) ).
fof(f90,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_12
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f160,plain,
( spl0_13
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f158,f51,f27,f98]) ).
fof(f158,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f155,f53]) ).
fof(f150,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f149,f86,f75,f67,f59]) ).
fof(f86,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != multiply(inverse(X4),sk_c7)
| sk_c6 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f149,plain,
( sk_c6 != multiply(sk_c2,sk_c3)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f148]) ).
fof(f148,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c3)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f147,f77]) ).
fof(f147,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| sk_c6 != multiply(sk_c2,sk_c3)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f87,f69]) ).
fof(f87,plain,
( ! [X4] :
( sk_c6 != multiply(inverse(X4),sk_c7)
| sk_c6 != multiply(X4,inverse(X4)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f142,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f140,f46,f41,f98]) ).
fof(f41,plain,
( spl0_4
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f46,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f140,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f135,f48]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f135,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f128,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f113]) ).
fof(f113,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f109,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f108,f89,f31,f36]) ).
fof(f36,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f31,plain,
( spl0_2
<=> multiply(sk_c4,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f108,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f107]) ).
fof(f107,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f90,f33]) ).
fof(f33,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f101,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f95,f86,f36,f98,f31]) ).
fof(f95,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| multiply(sk_c4,sk_c7) != sk_c6
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f87,f38]) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f94,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f93,f83,f46,f41]) ).
fof(f93,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f92]) ).
fof(f92,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f84,f48]) ).
fof(f91,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f83,f89,f86,f83]) ).
fof(f25,plain,
! [X3,X6,X7,X4] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(inverse(X4),sk_c7)
| sk_c6 != multiply(X4,inverse(X4))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(X5,sk_c7)
| inverse(X4) != X5
| sk_c6 != multiply(X4,X5)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_21) ).
fof(f79,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f21,f36,f75]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_18) ).
fof(f78,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f31,f75]) ).
fof(f20,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_17) ).
fof(f71,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f36,f67]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_14) ).
fof(f70,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f31,f67]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_13) ).
fof(f63,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f13,f36,f59]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_10) ).
fof(f62,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f31,f59]) ).
fof(f12,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_9) ).
fof(f57,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f11,f46,f51]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_8) ).
fof(f56,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f41,f51]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_7) ).
fof(f55,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f9,f36,f51]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_6) ).
fof(f54,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f31,f51]) ).
fof(f8,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_5) ).
fof(f49,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f46,f27]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_4) ).
fof(f44,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f41,f27]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_3) ).
fof(f39,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f36,f27]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_2) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f31,f27]) ).
fof(f4,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP222-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % 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
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 : Tue Apr 30 18:38:10 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/tmp/tmp.vhQCiok2xD/Vampire---4.8_8343
% 0.57/0.74 % (8610)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)
% 0.57/0.74 % (8604)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)
% 0.57/0.74 % (8606)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (8605)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)
% 0.57/0.74 % (8607)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)
% 0.57/0.74 % (8608)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)
% 0.57/0.74 % (8609)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)
% 0.57/0.74 % (8604)Refutation not found, incomplete strategy% (8604)------------------------------
% 0.57/0.74 % (8604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (8604)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (8604)Memory used [KB]: 1006
% 0.57/0.74 % (8604)Time elapsed: 0.003 s
% 0.57/0.74 % (8604)Instructions burned: 3 (million)
% 0.57/0.74 % (8604)------------------------------
% 0.57/0.74 % (8604)------------------------------
% 0.57/0.74 % (8607)Refutation not found, incomplete strategy% (8607)------------------------------
% 0.57/0.74 % (8607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (8608)Refutation not found, incomplete strategy% (8608)------------------------------
% 0.57/0.74 % (8608)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (8608)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (8608)Memory used [KB]: 1007
% 0.57/0.74 % (8608)Time elapsed: 0.003 s
% 0.57/0.74 % (8608)Instructions burned: 4 (million)
% 0.57/0.74 % (8608)------------------------------
% 0.57/0.74 % (8608)------------------------------
% 0.57/0.74 % (8607)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (8607)Memory used [KB]: 992
% 0.57/0.74 % (8607)Time elapsed: 0.003 s
% 0.57/0.74 % (8607)Instructions burned: 3 (million)
% 0.57/0.74 % (8607)------------------------------
% 0.57/0.74 % (8607)------------------------------
% 0.57/0.74 % (8606)Refutation not found, incomplete strategy% (8606)------------------------------
% 0.57/0.74 % (8606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (8609)Refutation not found, incomplete strategy% (8609)------------------------------
% 0.57/0.74 % (8609)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (8609)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (8609)Memory used [KB]: 997
% 0.57/0.74 % (8609)Time elapsed: 0.004 s
% 0.57/0.74 % (8609)Instructions burned: 4 (million)
% 0.57/0.74 % (8609)------------------------------
% 0.57/0.74 % (8609)------------------------------
% 0.57/0.74 % (8606)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (8606)Memory used [KB]: 1062
% 0.57/0.74 % (8606)Time elapsed: 0.004 s
% 0.57/0.74 % (8606)Instructions burned: 4 (million)
% 0.57/0.74 % (8606)------------------------------
% 0.57/0.74 % (8606)------------------------------
% 0.57/0.75 % (8614)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)
% 0.57/0.75 % (8611)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)
% 0.57/0.75 % (8612)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)
% 0.57/0.75 % (8613)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)
% 0.57/0.75 % (8616)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)
% 0.57/0.75 % (8611)Refutation not found, incomplete strategy% (8611)------------------------------
% 0.57/0.75 % (8611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8611)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (8611)Memory used [KB]: 992
% 0.57/0.75 % (8611)Time elapsed: 0.004 s
% 0.57/0.75 % (8611)Instructions burned: 3 (million)
% 0.57/0.75 % (8611)------------------------------
% 0.57/0.75 % (8611)------------------------------
% 0.57/0.75 % (8613)Refutation not found, incomplete strategy% (8613)------------------------------
% 0.57/0.75 % (8613)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8613)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (8613)Memory used [KB]: 985
% 0.57/0.75 % (8613)Time elapsed: 0.003 s
% 0.57/0.75 % (8613)Instructions burned: 4 (million)
% 0.57/0.75 % (8613)------------------------------
% 0.57/0.75 % (8613)------------------------------
% 0.57/0.75 % (8615)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)
% 0.57/0.75 % (8614)Refutation not found, incomplete strategy% (8614)------------------------------
% 0.57/0.75 % (8614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8614)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (8614)Memory used [KB]: 1075
% 0.57/0.75 % (8614)Time elapsed: 0.005 s
% 0.57/0.75 % (8614)Instructions burned: 6 (million)
% 0.57/0.75 % (8614)------------------------------
% 0.57/0.75 % (8614)------------------------------
% 0.57/0.75 % (8605)First to succeed.
% 0.57/0.75 % (8617)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)
% 0.57/0.75 % (8605)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (8605)------------------------------
% 0.57/0.75 % (8605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (8605)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (8605)Memory used [KB]: 1195
% 0.57/0.75 % (8605)Time elapsed: 0.014 s
% 0.57/0.75 % (8605)Instructions burned: 21 (million)
% 0.57/0.75 % (8605)------------------------------
% 0.57/0.75 % (8605)------------------------------
% 0.57/0.75 % (8599)Success in time 0.383 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------