TSTP Solution File: GRP250-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP250-1 : 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 : n017.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 02:28:15 EDT 2024
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 175 ( 4 unt; 0 def)
% Number of atoms : 501 ( 193 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 616 ( 290 ~; 308 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f714,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f54,f59,f64,f69,f74,f79,f80,f81,f82,f83,f84,f91,f92,f94,f101,f102,f103,f104,f111,f112,f113,f114,f121,f122,f123,f124,f137,f140,f145,f155,f164,f240,f306,f321,f457,f554,f632,f673,f711]) ).
fof(f711,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f710,f116,f106,f76,f42,f152]) ).
fof(f152,plain,
( spl0_18
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f42,plain,
( spl0_1
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f76,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f106,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f116,plain,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f710,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f709,f44]) ).
fof(f44,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f709,plain,
( multiply(sk_c1,sk_c9) = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f706,f577]) ).
fof(f577,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f470,f118]) ).
fof(f118,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f470,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',left_identity) ).
fof(f467,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f329]) ).
fof(f329,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',associativity) ).
fof(f706,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f334,f405]) ).
fof(f405,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f347,f44]) ).
fof(f347,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f343,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f312]) ).
fof(f312,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f44]) ).
fof(f673,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f670,f132,f116,f106]) ).
fof(f132,plain,
( spl0_15
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f670,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f669]) ).
fof(f669,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f133,f118]) ).
fof(f133,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f632,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f618,f152,f135,f116,f106]) ).
fof(f135,plain,
( spl0_16
<=> ! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f618,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f584,f585]) ).
fof(f585,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f118,f153]) ).
fof(f153,plain,
( sk_c8 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f584,plain,
( ! [X8] :
( sk_c8 != multiply(X8,sk_c8)
| sk_c8 != inverse(X8) )
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f583,f153]) ).
fof(f583,plain,
( ! [X8] :
( sk_c8 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) )
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f136,f153]) ).
fof(f136,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f554,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f535,f152,f129,f86,f96]) ).
fof(f96,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f86,plain,
( spl0_9
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f129,plain,
( spl0_14
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f535,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f530,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f459,f310]) ).
fof(f310,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f88,f153]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f459,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f130,f153]) ).
fof(f130,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f457,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f442,f126,f42,f76]) ).
fof(f126,plain,
( spl0_13
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f442,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f435]) ).
fof(f435,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f127,f44]) ).
fof(f127,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f321,plain,
( ~ spl0_10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f316,f152,f148,f96,f61,f56,f96]) ).
fof(f56,plain,
( spl0_4
<=> multiply(sk_c5,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f61,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f148,plain,
( spl0_17
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f316,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f150,f314]) ).
fof(f314,plain,
( identity = sk_c2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f313,f267]) ).
fof(f267,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f264,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f3,f260]) ).
fof(f260,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f259,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f259,plain,
( identity = multiply(sk_c8,multiply(sk_c8,sk_c5))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f257,f153]) ).
fof(f257,plain,
( identity = multiply(sk_c8,multiply(sk_c7,sk_c5))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f194,f227]) ).
fof(f227,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c5,identity)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f186,f168]) ).
fof(f186,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f58]) ).
fof(f58,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f168]) ).
fof(f313,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f98]) ).
fof(f98,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f150,plain,
( sk_c8 != inverse(identity)
| spl0_17 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f306,plain,
( ~ spl0_18
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f305,f152,f132,f71,f66,f61,f56,f152]) ).
fof(f66,plain,
( spl0_6
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f71,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f305,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f304,f68]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f304,plain,
( sk_c8 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f300,f153]) ).
fof(f300,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f133,f286]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f285,f274]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f271,f1]) ).
fof(f271,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f3,f266]) ).
fof(f266,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f265,f260]) ).
fof(f265,plain,
( multiply(sk_c5,identity) = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f263,f153]) ).
fof(f263,plain,
( multiply(sk_c5,identity) = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f186,f260]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f276,f225]) ).
fof(f225,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f186,f194]) ).
fof(f276,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f188,f194]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f73]) ).
fof(f73,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f240,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f236,f71,f66,f61,f56,f152]) ).
fof(f236,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f58,f232]) ).
fof(f232,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f228,f206]) ).
fof(f206,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f195,f73]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f169]) ).
fof(f169,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f2,f68]) ).
fof(f228,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f186,f200]) ).
fof(f200,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f194,f58]) ).
fof(f164,plain,
( ~ spl0_18
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f163,f135,f61,f56,f152]) ).
fof(f163,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f160,f63]) ).
fof(f160,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f157]) ).
fof(f157,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f136,f58]) ).
fof(f155,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f146,f132,f152,f148]) ).
fof(f146,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f133,f1]) ).
fof(f145,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f144,f129,f56,f61]) ).
fof(f144,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f141]) ).
fof(f141,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f130,f58]) ).
fof(f140,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f139,f126,f46,f51]) ).
fof(f51,plain,
( spl0_3
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f46,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f139,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f138]) ).
fof(f138,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f127,f48]) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f137,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_13
| spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f40,f135,f129,f126,f132,f129,f126]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_37) ).
fof(f124,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f71,f116]) ).
fof(f39,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_36) ).
fof(f123,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f66,f116]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_35) ).
fof(f122,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f61,f116]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_34) ).
fof(f121,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f56,f116]) ).
fof(f36,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_33) ).
fof(f114,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f71,f106]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_30) ).
fof(f113,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f66,f106]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_29) ).
fof(f112,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f61,f106]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_28) ).
fof(f111,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f56,f106]) ).
fof(f30,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_27) ).
fof(f104,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f71,f96]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_24) ).
fof(f103,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f66,f96]) ).
fof(f26,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_23) ).
fof(f102,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f61,f96]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_22) ).
fof(f101,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f56,f96]) ).
fof(f24,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_21) ).
fof(f94,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f71,f86]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_18) ).
fof(f92,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f61,f86]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_16) ).
fof(f91,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f56,f86]) ).
fof(f18,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_15) ).
fof(f84,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f71,f76]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_12) ).
fof(f83,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f66,f76]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_11) ).
fof(f82,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f61,f76]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_10) ).
fof(f81,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f56,f76]) ).
fof(f12,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_9) ).
fof(f80,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f51,f76]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_8) ).
fof(f79,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f46,f76]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_7) ).
fof(f74,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f71,f42]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_6) ).
fof(f69,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f66,f42]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_5) ).
fof(f64,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f61,f42]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_4) ).
fof(f59,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f56,f42]) ).
fof(f6,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_3) ).
fof(f54,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f51,f42]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_2) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f46,f42]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.XLgzmccjKH/Vampire---4.8_20308',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 17:53:34 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.36 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.XLgzmccjKH/Vampire---4.8_20308
% 0.61/0.76 % (20765)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)
% 0.61/0.77 % (20758)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)
% 0.61/0.77 % (20760)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77 % (20761)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)
% 0.61/0.77 % (20762)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)
% 0.61/0.77 % (20759)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)
% 0.61/0.77 % (20764)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)
% 0.61/0.77 % (20763)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)
% 0.61/0.77 % (20765)Refutation not found, incomplete strategy% (20765)------------------------------
% 0.61/0.77 % (20765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (20765)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (20765)Memory used [KB]: 1002
% 0.61/0.77 % (20765)Time elapsed: 0.002 s
% 0.61/0.77 % (20765)Instructions burned: 4 (million)
% 0.61/0.77 % (20765)------------------------------
% 0.61/0.77 % (20765)------------------------------
% 0.61/0.77 % (20758)Refutation not found, incomplete strategy% (20758)------------------------------
% 0.61/0.77 % (20758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (20758)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (20758)Memory used [KB]: 1017
% 0.61/0.77 % (20758)Time elapsed: 0.004 s
% 0.61/0.77 % (20758)Instructions burned: 4 (million)
% 0.61/0.77 % (20758)------------------------------
% 0.61/0.77 % (20758)------------------------------
% 0.61/0.77 % (20762)Refutation not found, incomplete strategy% (20762)------------------------------
% 0.61/0.77 % (20762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (20762)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77 % (20761)Refutation not found, incomplete strategy% (20761)------------------------------
% 0.61/0.77 % (20761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77
% 0.61/0.77 % (20762)Memory used [KB]: 1017
% 0.61/0.77 % (20762)Time elapsed: 0.004 s
% 0.61/0.77 % (20762)Instructions burned: 4 (million)
% 0.61/0.77 % (20762)------------------------------
% 0.61/0.77 % (20762)------------------------------
% 0.61/0.77 % (20761)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (20761)Memory used [KB]: 1001
% 0.61/0.77 % (20761)Time elapsed: 0.004 s
% 0.61/0.77 % (20761)Instructions burned: 4 (million)
% 0.61/0.77 % (20761)------------------------------
% 0.61/0.77 % (20761)------------------------------
% 0.61/0.77 % (20769)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)
% 0.61/0.77 % (20771)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)
% 0.61/0.77 % (20772)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)
% 0.61/0.77 % (20773)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)
% 0.61/0.78 % (20771)Refutation not found, incomplete strategy% (20771)------------------------------
% 0.61/0.78 % (20771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (20771)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20771)Memory used [KB]: 992
% 0.61/0.78 % (20771)Time elapsed: 0.004 s
% 0.61/0.78 % (20771)Instructions burned: 6 (million)
% 0.61/0.78 % (20771)------------------------------
% 0.61/0.78 % (20771)------------------------------
% 0.61/0.78 % (20759)First to succeed.
% 0.61/0.78 % (20778)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 (2995ds/518Mi)
% 0.61/0.78 % (20759)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (20759)------------------------------
% 0.61/0.78 % (20759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (20759)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (20759)Memory used [KB]: 1204
% 0.61/0.78 % (20759)Time elapsed: 0.017 s
% 0.61/0.78 % (20759)Instructions burned: 26 (million)
% 0.61/0.78 % (20759)------------------------------
% 0.61/0.78 % (20759)------------------------------
% 0.61/0.78 % (20569)Success in time 0.412 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------