TSTP Solution File: GRP679-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP679-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue Apr 30 12:08:35 EDT 2024
% Result : Unsatisfiable 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 53
% Syntax : Number of formulae : 162 ( 19 unt; 0 def)
% Number of atoms : 381 ( 115 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 395 ( 176 ~; 175 |; 0 &)
% ( 44 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 46 ( 44 usr; 45 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 178 ( 178 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1852,plain,
$false,
inference(avatar_sat_refutation,[],[f14,f18,f22,f26,f30,f34,f38,f42,f48,f68,f100,f104,f108,f117,f121,f125,f129,f133,f137,f141,f185,f214,f218,f222,f227,f231,f235,f239,f243,f804,f862,f1069,f1074,f1078,f1103,f1107,f1111,f1115,f1119,f1123,f1127,f1131,f1135,f1139,f1809]) ).
fof(f1809,plain,
( spl0_25
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1808,plain,
( $false
| spl0_25
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1760]) ).
fof(f1760,plain,
( mult(a,mult(op_c,op_c)) != mult(a,mult(op_c,op_c))
| spl0_25
| ~ spl0_44 ),
inference(superposition,[],[f226,f1138]) ).
fof(f1138,plain,
( ! [X0] : mult(op_c,mult(X0,op_c)) = mult(X0,mult(op_c,op_c))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1137,plain,
( spl0_44
<=> ! [X0] : mult(op_c,mult(X0,op_c)) = mult(X0,mult(op_c,op_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f226,plain,
( mult(a,mult(op_c,op_c)) != mult(op_c,mult(a,op_c))
| spl0_25 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl0_25
<=> mult(a,mult(op_c,op_c)) = mult(op_c,mult(a,op_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1139,plain,
( spl0_44
| ~ spl0_19
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f643,f237,f135,f1137]) ).
fof(f135,plain,
( spl0_19
<=> ! [X0] : rd(mult(op_c,X0),op_c) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f237,plain,
( spl0_28
<=> ! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f643,plain,
( ! [X0] : mult(op_c,mult(X0,op_c)) = mult(X0,mult(op_c,op_c))
| ~ spl0_19
| ~ spl0_28 ),
inference(superposition,[],[f238,f136]) ).
fof(f136,plain,
( ! [X0] : rd(mult(op_c,X0),op_c) = X0
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f238,plain,
( ! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f1135,plain,
( spl0_43
| ~ spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f392,f220,f16,f1133]) ).
fof(f1133,plain,
( spl0_43
<=> ! [X0] : mult(X0,mult(op_c,X0)) = mult(X0,mult(X0,op_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f16,plain,
( spl0_2
<=> ! [X0] : mult(X0,unit) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f220,plain,
( spl0_24
<=> ! [X0,X1] : mult(X0,mult(op_c,mult(X0,X1))) = mult(mult(X0,mult(X0,op_c)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f392,plain,
( ! [X0] : mult(X0,mult(op_c,X0)) = mult(X0,mult(X0,op_c))
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f349,f17]) ).
fof(f17,plain,
( ! [X0] : mult(X0,unit) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f349,plain,
( ! [X0] : mult(X0,mult(X0,op_c)) = mult(X0,mult(op_c,mult(X0,unit)))
| ~ spl0_2
| ~ spl0_24 ),
inference(superposition,[],[f221,f17]) ).
fof(f221,plain,
( ! [X0,X1] : mult(X0,mult(op_c,mult(X0,X1))) = mult(mult(X0,mult(X0,op_c)),X1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f1131,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f262,f212,f16,f1129]) ).
fof(f1129,plain,
( spl0_42
<=> ! [X0] : mult(op_c,mult(X0,op_c)) = mult(op_c,mult(op_c,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f212,plain,
( spl0_22
<=> ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f262,plain,
( ! [X0] : mult(op_c,mult(X0,op_c)) = mult(op_c,mult(op_c,X0))
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f248,f17]) ).
fof(f248,plain,
( ! [X0] : mult(op_c,mult(op_c,X0)) = mult(op_c,mult(X0,mult(op_c,unit)))
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f213,f17]) ).
fof(f213,plain,
( ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f1127,plain,
( spl0_41
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f201,f183,f127,f1125]) ).
fof(f1125,plain,
( spl0_41
<=> ! [X0] : op_c = rd(mult(X0,mult(X0,op_c)),mult(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f127,plain,
( spl0_17
<=> ! [X0] : op_c = rd(mult(X0,op_c),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f183,plain,
( spl0_21
<=> ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f201,plain,
( ! [X0] : op_c = rd(mult(X0,mult(X0,op_c)),mult(X0,X0))
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f128,f184]) ).
fof(f184,plain,
( ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f128,plain,
( ! [X0] : op_c = rd(mult(X0,op_c),X0)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f1123,plain,
( spl0_40
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f200,f183,f131,f1121]) ).
fof(f1121,plain,
( spl0_40
<=> ! [X0] : mult(X0,X0) = ld(op_c,mult(X0,mult(X0,op_c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f131,plain,
( spl0_18
<=> ! [X0] : ld(op_c,mult(X0,op_c)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f200,plain,
( ! [X0] : mult(X0,X0) = ld(op_c,mult(X0,mult(X0,op_c)))
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f132,f184]) ).
fof(f132,plain,
( ! [X0] : ld(op_c,mult(X0,op_c)) = X0
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f1119,plain,
( spl0_39
| ~ spl0_5
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f196,f183,f28,f1117]) ).
fof(f1117,plain,
( spl0_39
<=> ! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f28,plain,
( spl0_5
<=> ! [X0,X1] : ld(X0,mult(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f196,plain,
( ! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f29,f184]) ).
fof(f29,plain,
( ! [X0,X1] : ld(X0,mult(X0,X1)) = X1
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f1115,plain,
( spl0_38
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f195,f183,f36,f1113]) ).
fof(f1113,plain,
( spl0_38
<=> ! [X0,X1] : mult(X0,X0) = rd(mult(X0,mult(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f36,plain,
( spl0_7
<=> ! [X0,X1] : rd(mult(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f195,plain,
( ! [X0,X1] : mult(X0,X0) = rd(mult(X0,mult(X0,X1)),X1)
| ~ spl0_7
| ~ spl0_21 ),
inference(superposition,[],[f37,f184]) ).
fof(f37,plain,
( ! [X0,X1] : rd(mult(X0,X1),X1) = X0
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f1111,plain,
( spl0_37
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f192,f183,f40,f1109]) ).
fof(f1109,plain,
( spl0_37
<=> ! [X0] : mult(X0,mult(X0,op_c)) = mult(op_c,mult(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f40,plain,
( spl0_8
<=> ! [X0] : mult(op_c,X0) = mult(X0,op_c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f192,plain,
( ! [X0] : mult(X0,mult(X0,op_c)) = mult(op_c,mult(X0,X0))
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f184,f41]) ).
fof(f41,plain,
( ! [X0] : mult(op_c,X0) = mult(X0,op_c)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f1107,plain,
( spl0_36
| ~ spl0_4
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f191,f183,f24,f1105]) ).
fof(f1105,plain,
( spl0_36
<=> ! [X0,X1] : mult(X0,mult(X0,ld(mult(X0,X0),X1))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f24,plain,
( spl0_4
<=> ! [X0,X1] : mult(X0,ld(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f191,plain,
( ! [X0,X1] : mult(X0,mult(X0,ld(mult(X0,X0),X1))) = X1
| ~ spl0_4
| ~ spl0_21 ),
inference(superposition,[],[f184,f25]) ).
fof(f25,plain,
( ! [X0,X1] : mult(X0,ld(X0,X1)) = X1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f1103,plain,
( spl0_35
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1090,f1072,f32,f1101]) ).
fof(f1101,plain,
( spl0_35
<=> ! [X0] : mult(ld(op_c,X0),op_c) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f32,plain,
( spl0_6
<=> ! [X0,X1] : mult(rd(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1072,plain,
( spl0_33
<=> ! [X0] : ld(op_c,X0) = rd(X0,op_c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1090,plain,
( ! [X0] : mult(ld(op_c,X0),op_c) = X0
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f33,f1073]) ).
fof(f1073,plain,
( ! [X0] : ld(op_c,X0) = rd(X0,op_c)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f33,plain,
( ! [X0,X1] : mult(rd(X0,X1),X1) = X0
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f1078,plain,
( spl0_34
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f177,f139,f24,f1076]) ).
fof(f1076,plain,
( spl0_34
<=> ! [X0] : op_c = ld(ld(op_c,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f139,plain,
( spl0_20
<=> ! [X0] : op_c = ld(X0,mult(op_c,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f177,plain,
( ! [X0] : op_c = ld(ld(op_c,X0),X0)
| ~ spl0_4
| ~ spl0_20 ),
inference(superposition,[],[f140,f25]) ).
fof(f140,plain,
( ! [X0] : op_c = ld(X0,mult(op_c,X0))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f1074,plain,
( spl0_33
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f154,f123,f28,f1072]) ).
fof(f123,plain,
( spl0_16
<=> ! [X0] : mult(op_c,rd(X0,op_c)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f154,plain,
( ! [X0] : ld(op_c,X0) = rd(X0,op_c)
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f29,f124]) ).
fof(f124,plain,
( ! [X0] : mult(op_c,rd(X0,op_c)) = X0
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f1069,plain,
( spl0_32
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f153,f123,f36,f1067]) ).
fof(f1067,plain,
( spl0_32
<=> ! [X0] : op_c = rd(X0,rd(X0,op_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f153,plain,
( ! [X0] : op_c = rd(X0,rd(X0,op_c))
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f37,f124]) ).
fof(f862,plain,
( spl0_31
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f88,f66,f860]) ).
fof(f860,plain,
( spl0_31
<=> ! [X0,X3,X2,X1] : mult(mult(X2,mult(X0,mult(X1,mult(X0,X2)))),X3) = mult(X2,mult(X0,mult(X1,mult(X0,mult(X2,X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f66,plain,
( spl0_10
<=> ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f88,plain,
( ! [X2,X3,X0,X1] : mult(mult(X2,mult(X0,mult(X1,mult(X0,X2)))),X3) = mult(X2,mult(X0,mult(X1,mult(X0,mult(X2,X3)))))
| ~ spl0_10 ),
inference(forward_demodulation,[],[f72,f67]) ).
fof(f67,plain,
( ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f72,plain,
( ! [X2,X3,X0,X1] : mult(X2,mult(mult(X0,mult(X1,X0)),mult(X2,X3))) = mult(mult(X2,mult(X0,mult(X1,mult(X0,X2)))),X3)
| ~ spl0_10 ),
inference(superposition,[],[f67,f67]) ).
fof(f804,plain,
( spl0_30
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f70,f66,f24,f802]) ).
fof(f802,plain,
( spl0_30
<=> ! [X2,X0,X1] : mult(ld(X0,X1),mult(X0,mult(ld(X0,X1),X2))) = mult(mult(ld(X0,X1),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f70,plain,
( ! [X2,X0,X1] : mult(ld(X0,X1),mult(X0,mult(ld(X0,X1),X2))) = mult(mult(ld(X0,X1),X1),X2)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f67,f25]) ).
fof(f243,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f82,f66,f28,f241]) ).
fof(f241,plain,
( spl0_29
<=> ! [X2,X0,X1] : ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,mult(X0,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f82,plain,
( ! [X2,X0,X1] : ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,mult(X0,X2)))) = X2
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f29,f67]) ).
fof(f239,plain,
( spl0_28
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f81,f66,f36,f237]) ).
fof(f81,plain,
( ! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f37,f67]) ).
fof(f235,plain,
( spl0_27
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f80,f66,f40,f233]) ).
fof(f233,plain,
( spl0_27
<=> ! [X0,X1] : mult(op_c,mult(X0,mult(X1,X0))) = mult(X0,mult(X1,mult(X0,op_c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f80,plain,
( ! [X0,X1] : mult(op_c,mult(X0,mult(X1,X0))) = mult(X0,mult(X1,mult(X0,op_c)))
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f67,f41]) ).
fof(f231,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f79,f66,f24,f229]) ).
fof(f229,plain,
( spl0_26
<=> ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,ld(mult(X0,mult(X1,X0)),X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f79,plain,
( ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,ld(mult(X0,mult(X1,X0)),X2)))) = X2
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f67,f25]) ).
fof(f227,plain,
( ~ spl0_25
| spl0_1
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f207,f183,f40,f11,f224]) ).
fof(f11,plain,
( spl0_1
<=> mult(mult(op_c,op_c),a) = mult(a,mult(op_c,op_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f207,plain,
( mult(a,mult(op_c,op_c)) != mult(op_c,mult(a,op_c))
| spl0_1
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f193,f41]) ).
fof(f193,plain,
( mult(a,mult(op_c,op_c)) != mult(op_c,mult(op_c,a))
| spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f13,f184]) ).
fof(f13,plain,
( mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c))
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f222,plain,
( spl0_24
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f75,f66,f40,f220]) ).
fof(f75,plain,
( ! [X0,X1] : mult(X0,mult(op_c,mult(X0,X1))) = mult(mult(X0,mult(X0,op_c)),X1)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f67,f41]) ).
fof(f218,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f73,f66,f32,f216]) ).
fof(f216,plain,
( spl0_23
<=> ! [X2,X0,X1] : mult(X1,mult(rd(X0,X1),mult(X1,X2))) = mult(mult(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f73,plain,
( ! [X2,X0,X1] : mult(X1,mult(rd(X0,X1),mult(X1,X2))) = mult(mult(X1,X0),X2)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f67,f33]) ).
fof(f214,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f71,f66,f40,f212]) ).
fof(f71,plain,
( ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f67,f41]) ).
fof(f185,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f89,f66,f20,f183]) ).
fof(f20,plain,
( spl0_3
<=> ! [X0] : mult(unit,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f89,plain,
( ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1))
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f74,f21]) ).
fof(f21,plain,
( ! [X0] : mult(unit,X0) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f74,plain,
( ! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f67,f21]) ).
fof(f141,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f63,f40,f28,f139]) ).
fof(f63,plain,
( ! [X0] : op_c = ld(X0,mult(op_c,X0))
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f29,f41]) ).
fof(f137,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f62,f40,f36,f135]) ).
fof(f62,plain,
( ! [X0] : rd(mult(op_c,X0),op_c) = X0
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f37,f41]) ).
fof(f133,plain,
( spl0_18
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f60,f40,f28,f131]) ).
fof(f60,plain,
( ! [X0] : ld(op_c,mult(X0,op_c)) = X0
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f29,f41]) ).
fof(f129,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f59,f40,f36,f127]) ).
fof(f59,plain,
( ! [X0] : op_c = rd(mult(X0,op_c),X0)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f37,f41]) ).
fof(f125,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f58,f40,f32,f123]) ).
fof(f58,plain,
( ! [X0] : mult(op_c,rd(X0,op_c)) = X0
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f41,f33]) ).
fof(f121,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f55,f36,f24,f119]) ).
fof(f119,plain,
( spl0_15
<=> ! [X0,X1] : rd(X1,ld(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f55,plain,
( ! [X0,X1] : rd(X1,ld(X0,X1)) = X0
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f37,f25]) ).
fof(f117,plain,
( spl0_14
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f53,f32,f28,f115]) ).
fof(f115,plain,
( spl0_14
<=> ! [X0,X1] : ld(rd(X0,X1),X0) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f53,plain,
( ! [X0,X1] : ld(rd(X0,X1),X0) = X1
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f29,f33]) ).
fof(f108,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f56,f36,f20,f106]) ).
fof(f106,plain,
( spl0_13
<=> ! [X0] : unit = rd(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f56,plain,
( ! [X0] : unit = rd(X0,X0)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f37,f21]) ).
fof(f104,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f51,f32,f16,f102]) ).
fof(f102,plain,
( spl0_12
<=> ! [X0] : rd(X0,unit) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f51,plain,
( ! [X0] : rd(X0,unit) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f33,f17]) ).
fof(f100,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f49,f28,f16,f98]) ).
fof(f98,plain,
( spl0_11
<=> ! [X0] : unit = ld(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f49,plain,
( ! [X0] : unit = ld(X0,X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f29,f17]) ).
fof(f68,plain,
spl0_10,
inference(avatar_split_clause,[],[f7,f66]) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f48,plain,
( spl0_9
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f43,f24,f20,f46]) ).
fof(f46,plain,
( spl0_9
<=> ! [X0] : ld(unit,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f43,plain,
( ! [X0] : ld(unit,X0) = X0
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f21]) ).
fof(f42,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f40]) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f38,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f36]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f34,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f32]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f30,plain,
spl0_5,
inference(avatar_split_clause,[],[f2,f28]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f24]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f6,f20]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f18,plain,
spl0_2,
inference(avatar_split_clause,[],[f5,f16]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f14,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f9,f11]) ).
fof(f9,axiom,
mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP679-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n015.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 : Tue Apr 30 04:48:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28377)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28380)WARNING: value z3 for option sas not known
% 0.15/0.38 % (28378)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (28379)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (28381)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (28380)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (28382)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (28383)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (28384)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.43 TRYING [6]
% 0.22/0.45 TRYING [5]
% 0.22/0.46 % (28382)First to succeed.
% 0.22/0.47 % (28380)Also succeeded, but the first one will report.
% 0.22/0.47 % (28382)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (28382)------------------------------
% 0.22/0.47 % (28382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.47 % (28382)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (28382)Memory used [KB]: 1876
% 0.22/0.47 % (28382)Time elapsed: 0.091 s
% 0.22/0.47 % (28382)Instructions burned: 136 (million)
% 0.22/0.47 % (28382)------------------------------
% 0.22/0.47 % (28382)------------------------------
% 0.22/0.47 % (28377)Success in time 0.109 s
%------------------------------------------------------------------------------