TSTP Solution File: KLE074+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE074+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 13:11:51 EDT 2024
% Result : Theorem 0.11s 0.38s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 58
% Syntax : Number of formulae : 176 ( 61 unt; 0 def)
% Number of atoms : 351 ( 134 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 316 ( 141 ~; 134 |; 0 &)
% ( 40 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 42 ( 40 usr; 41 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 228 ( 222 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1039,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f58,f63,f67,f71,f75,f79,f83,f87,f91,f96,f108,f112,f116,f140,f144,f148,f194,f198,f203,f277,f281,f300,f323,f327,f331,f381,f385,f390,f394,f398,f402,f406,f410,f830,f834,f989,f993,f997,f1001,f1023]) ).
fof(f1023,plain,
( spl3_2
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1022,plain,
( $false
| spl3_2
| ~ spl3_37 ),
inference(trivial_inequality_removal,[],[f1011]) ).
fof(f1011,plain,
( domain(multiplication(sK0,multiplication(sK1,sK2))) != domain(multiplication(sK0,multiplication(sK1,sK2)))
| spl3_2
| ~ spl3_37 ),
inference(superposition,[],[f57,f988]) ).
fof(f988,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1)))
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl3_37
<=> ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f57,plain,
( domain(multiplication(sK0,multiplication(sK1,domain(sK2)))) != domain(multiplication(sK0,multiplication(sK1,sK2)))
| spl3_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_2
<=> domain(multiplication(sK0,multiplication(sK1,domain(sK2)))) = domain(multiplication(sK0,multiplication(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f1001,plain,
( spl3_40
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f160,f142,f106,f999]) ).
fof(f999,plain,
( spl3_40
<=> ! [X2,X0,X1] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f106,plain,
( spl3_12
<=> ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f142,plain,
( spl3_16
<=> ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f160,plain,
( ! [X2,X0,X1] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2)
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f143,f107]) ).
fof(f107,plain,
( ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f143,plain,
( ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f997,plain,
( spl3_39
| ~ spl3_12
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f136,f110,f106,f995]) ).
fof(f995,plain,
( spl3_39
<=> ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f110,plain,
( spl3_13
<=> ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f136,plain,
( ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2))
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f131,f107]) ).
fof(f131,plain,
( ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = addition(domain(multiplication(X0,X1)),domain(X2))
| ~ spl3_12
| ~ spl3_13 ),
inference(superposition,[],[f107,f111]) ).
fof(f111,plain,
( ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1)))
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f993,plain,
( spl3_38
| ~ spl3_12
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f135,f110,f106,f991]) ).
fof(f991,plain,
( spl3_38
<=> ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f135,plain,
( ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1)))
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f130,f107]) ).
fof(f130,plain,
( ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = addition(domain(X2),domain(multiplication(X0,X1)))
| ~ spl3_12
| ~ spl3_13 ),
inference(superposition,[],[f107,f111]) ).
fof(f989,plain,
( spl3_37
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f133,f110,f987]) ).
fof(f133,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1)))
| ~ spl3_13 ),
inference(forward_demodulation,[],[f127,f111]) ).
fof(f127,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,domain(multiplication(X0,X1))))
| ~ spl3_13 ),
inference(superposition,[],[f111,f111]) ).
fof(f834,plain,
( spl3_36
| ~ spl3_11
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f245,f196,f94,f832]) ).
fof(f832,plain,
( spl3_36
<=> ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f94,plain,
( spl3_11
<=> ! [X0,X1] : addition(X0,X1) = addition(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f196,plain,
( spl3_19
<=> ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f245,plain,
( ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1))
| ~ spl3_11
| ~ spl3_19 ),
inference(superposition,[],[f197,f95]) ).
fof(f95,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X1,X0)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f197,plain,
( ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f830,plain,
( spl3_35
| ~ spl3_11
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f215,f192,f94,f828]) ).
fof(f828,plain,
( spl3_35
<=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f192,plain,
( spl3_18
<=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f215,plain,
( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1))
| ~ spl3_11
| ~ spl3_18 ),
inference(superposition,[],[f193,f95]) ).
fof(f193,plain,
( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f410,plain,
( spl3_34
| ~ spl3_8
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f242,f196,f81,f408]) ).
fof(f408,plain,
( spl3_34
<=> ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f81,plain,
( spl3_8
<=> ! [X0] : multiplication(one,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f242,plain,
( ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0)
| ~ spl3_8
| ~ spl3_19 ),
inference(superposition,[],[f197,f82]) ).
fof(f82,plain,
( ! [X0] : multiplication(one,X0) = X0
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f406,plain,
( spl3_33
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f268,f200,f106,f94,f89,f404]) ).
fof(f404,plain,
( spl3_33
<=> ! [X0] : one = domain(addition(one,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f89,plain,
( spl3_10
<=> ! [X0] : one = addition(domain(X0),one) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f200,plain,
( spl3_20
<=> one = domain(one) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f268,plain,
( ! [X0] : one = domain(addition(one,X0))
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f264,f98]) ).
fof(f98,plain,
( ! [X0] : one = addition(one,domain(X0))
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f95,f90]) ).
fof(f90,plain,
( ! [X0] : one = addition(domain(X0),one)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f264,plain,
( ! [X0] : addition(one,domain(X0)) = domain(addition(one,X0))
| ~ spl3_12
| ~ spl3_20 ),
inference(superposition,[],[f107,f202]) ).
fof(f202,plain,
( one = domain(one)
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f402,plain,
( spl3_32
| ~ spl3_8
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f237,f196,f81,f400]) ).
fof(f400,plain,
( spl3_32
<=> ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f237,plain,
( ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))
| ~ spl3_8
| ~ spl3_19 ),
inference(superposition,[],[f197,f82]) ).
fof(f398,plain,
( spl3_31
| ~ spl3_7
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f210,f192,f77,f396]) ).
fof(f396,plain,
( spl3_31
<=> ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f77,plain,
( spl3_7
<=> ! [X0] : multiplication(X0,one) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f210,plain,
( ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0)
| ~ spl3_7
| ~ spl3_18 ),
inference(superposition,[],[f193,f78]) ).
fof(f78,plain,
( ! [X0] : multiplication(X0,one) = X0
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f394,plain,
( spl3_30
| ~ spl3_7
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f205,f192,f77,f392]) ).
fof(f392,plain,
( spl3_30
<=> ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f205,plain,
( ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))
| ~ spl3_7
| ~ spl3_18 ),
inference(superposition,[],[f193,f78]) ).
fof(f390,plain,
( spl3_29
| ~ spl3_11
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f163,f142,f94,f388]) ).
fof(f388,plain,
( spl3_29
<=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f163,plain,
( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1))
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f143,f95]) ).
fof(f385,plain,
( spl3_28
| ~ spl3_9
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f162,f142,f85,f383]) ).
fof(f383,plain,
( spl3_28
<=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f85,plain,
( spl3_9
<=> ! [X0] : addition(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f162,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1)))
| ~ spl3_9
| ~ spl3_16 ),
inference(superposition,[],[f143,f86]) ).
fof(f86,plain,
( ! [X0] : addition(X0,X0) = X0
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f381,plain,
( spl3_27
| ~ spl3_11
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f155,f142,f94,f379]) ).
fof(f379,plain,
( spl3_27
<=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f155,plain,
( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2)
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f143,f95]) ).
fof(f331,plain,
( spl3_26
| ~ spl3_10
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f159,f142,f89,f329]) ).
fof(f329,plain,
( spl3_26
<=> ! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(one,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f159,plain,
( ! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(one,X1))
| ~ spl3_10
| ~ spl3_16 ),
inference(superposition,[],[f143,f90]) ).
fof(f327,plain,
( spl3_25
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f120,f106,f94,f325]) ).
fof(f325,plain,
( spl3_25
<=> ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f120,plain,
( ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0))
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f107,f95]) ).
fof(f323,plain,
( spl3_24
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f267,f200,f106,f89,f321]) ).
fof(f321,plain,
( spl3_24
<=> ! [X0] : one = domain(addition(X0,one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f267,plain,
( ! [X0] : one = domain(addition(X0,one))
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f263,f90]) ).
fof(f263,plain,
( ! [X0] : addition(domain(X0),one) = domain(addition(X0,one))
| ~ spl3_12
| ~ spl3_20 ),
inference(superposition,[],[f107,f202]) ).
fof(f300,plain,
( spl3_23
| ~ spl3_9
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f154,f142,f85,f298]) ).
fof(f298,plain,
( spl3_23
<=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f154,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1))
| ~ spl3_9
| ~ spl3_16 ),
inference(superposition,[],[f143,f86]) ).
fof(f281,plain,
( spl3_22
| ~ spl3_8
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f134,f110,f81,f279]) ).
fof(f279,plain,
( spl3_22
<=> ! [X0] : domain(X0) = domain(domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f134,plain,
( ! [X0] : domain(X0) = domain(domain(X0))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f129,f82]) ).
fof(f129,plain,
( ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0))
| ~ spl3_8
| ~ spl3_13 ),
inference(superposition,[],[f111,f82]) ).
fof(f277,plain,
( spl3_21
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f98,f94,f89,f275]) ).
fof(f275,plain,
( spl3_21
<=> ! [X0] : one = addition(one,domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f203,plain,
( spl3_20
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f153,f138,f94,f89,f77,f200]) ).
fof(f138,plain,
( spl3_15
<=> ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f153,plain,
( one = domain(one)
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f152,f98]) ).
fof(f152,plain,
( domain(one) = addition(one,domain(one))
| ~ spl3_7
| ~ spl3_15 ),
inference(superposition,[],[f139,f78]) ).
fof(f139,plain,
( ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0))
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f198,plain,
spl3_19,
inference(avatar_split_clause,[],[f45,f196]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f194,plain,
spl3_18,
inference(avatar_split_clause,[],[f44,f192]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f148,plain,
spl3_17,
inference(avatar_split_clause,[],[f43,f146]) ).
fof(f146,plain,
( spl3_17
<=> ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f144,plain,
spl3_16,
inference(avatar_split_clause,[],[f42,f142]) ).
fof(f42,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f140,plain,
spl3_15,
inference(avatar_split_clause,[],[f38,f138]) ).
fof(f38,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f116,plain,
( spl3_14
| ~ spl3_6
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f97,f94,f73,f114]) ).
fof(f114,plain,
( spl3_14
<=> ! [X0] : addition(zero,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f73,plain,
( spl3_6
<=> ! [X0] : addition(X0,zero) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f97,plain,
( ! [X0] : addition(zero,X0) = X0
| ~ spl3_6
| ~ spl3_11 ),
inference(superposition,[],[f95,f74]) ).
fof(f74,plain,
( ! [X0] : addition(X0,zero) = X0
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f112,plain,
spl3_13,
inference(avatar_split_clause,[],[f41,f110]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f108,plain,
spl3_12,
inference(avatar_split_clause,[],[f40,f106]) ).
fof(f40,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f96,plain,
spl3_11,
inference(avatar_split_clause,[],[f39,f94]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f91,plain,
spl3_10,
inference(avatar_split_clause,[],[f37,f89]) ).
fof(f37,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f87,plain,
spl3_9,
inference(avatar_split_clause,[],[f36,f85]) ).
fof(f36,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f83,plain,
spl3_8,
inference(avatar_split_clause,[],[f35,f81]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f79,plain,
spl3_7,
inference(avatar_split_clause,[],[f34,f77]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f75,plain,
spl3_6,
inference(avatar_split_clause,[],[f33,f73]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f71,plain,
spl3_5,
inference(avatar_split_clause,[],[f32,f69]) ).
fof(f69,plain,
( spl3_5
<=> ! [X0] : zero = multiplication(zero,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f32,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f67,plain,
spl3_4,
inference(avatar_split_clause,[],[f31,f65]) ).
fof(f65,plain,
( spl3_4
<=> ! [X0] : zero = multiplication(X0,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f31,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f63,plain,
spl3_3,
inference(avatar_split_clause,[],[f30,f60]) ).
fof(f60,plain,
( spl3_3
<=> zero = domain(zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f30,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f58,plain,
( ~ spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f53,f47,f55]) ).
fof(f47,plain,
( spl3_1
<=> domain(multiplication(multiplication(sK0,sK1),domain(sK2))) = domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f53,plain,
( domain(multiplication(sK0,multiplication(sK1,domain(sK2)))) != domain(multiplication(sK0,multiplication(sK1,sK2)))
| spl3_1 ),
inference(forward_demodulation,[],[f52,f43]) ).
fof(f52,plain,
( domain(multiplication(sK0,multiplication(sK1,domain(sK2)))) != domain(multiplication(multiplication(sK0,sK1),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f51,f41]) ).
fof(f51,plain,
( domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,multiplication(sK1,domain(sK2))))
| spl3_1 ),
inference(forward_demodulation,[],[f49,f41]) ).
fof(f49,plain,
( domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2)))))
| spl3_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f29,f47]) ).
fof(f29,plain,
domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2)))))
=> domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4,X5] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4,X5] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 05:22:48 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (31004)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (31007)WARNING: value z3 for option sas not known
% 0.11/0.34 % (31010)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)
% 0.11/0.34 % (31008)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (31011)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)
% 0.11/0.34 % (31005)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (31006)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (31007)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)
% 0.11/0.34 % (31009)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [4]
% 0.11/0.36 TRYING [3]
% 0.11/0.37 % (31009)First to succeed.
% 0.11/0.38 % (31009)Refutation found. Thanks to Tanya!
% 0.11/0.38 % SZS status Theorem for theBenchmark
% 0.11/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.38 % (31009)------------------------------
% 0.11/0.38 % (31009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.38 % (31009)Termination reason: Refutation
% 0.11/0.38
% 0.11/0.38 % (31009)Memory used [KB]: 1398
% 0.11/0.38 % (31009)Time elapsed: 0.037 s
% 0.11/0.38 % (31009)Instructions burned: 69 (million)
% 0.11/0.38 % (31009)------------------------------
% 0.11/0.38 % (31009)------------------------------
% 0.11/0.38 % (31004)Success in time 0.052 s
%------------------------------------------------------------------------------