TSTP Solution File: FLD011-3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD011-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Sun May 5 05:07:51 EDT 2024
% Result : Unsatisfiable 6.26s 1.27s
% Output : Refutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 102 ( 11 unt; 0 def)
% Number of atoms : 301 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 366 ( 167 ~; 194 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50154,plain,
$false,
inference(avatar_sat_refutation,[],[f2444,f2449,f5223,f37057,f38621,f50104]) ).
fof(f50104,plain,
spl0_3687,
inference(avatar_contradiction_clause,[],[f50103]) ).
fof(f50103,plain,
( $false
| spl0_3687 ),
inference(subsumption_resolution,[],[f50102,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f50102,plain,
( ~ defined(a)
| spl0_3687 ),
inference(subsumption_resolution,[],[f50066,f29]) ).
fof(f29,axiom,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_3) ).
fof(f50066,plain,
( product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a)
| ~ defined(a)
| spl0_3687 ),
inference(resolution,[],[f50063,f264]) ).
fof(f264,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| product(multiplicative_identity,X1,X0)
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f262,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f262,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| product(multiplicative_identity,X1,X0)
| ~ defined(X0)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f128,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,multiplicative_identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1)
| ~ defined(X1) ),
inference(resolution,[],[f6,f8]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f50063,plain,
( product(multiplicative_identity,a,multiplicative_inverse(multiplicative_inverse(a)))
| spl0_3687 ),
inference(subsumption_resolution,[],[f50062,f28]) ).
fof(f28,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
fof(f50062,plain,
( sum(additive_identity,a,additive_identity)
| product(multiplicative_identity,a,multiplicative_inverse(multiplicative_inverse(a)))
| spl0_3687 ),
inference(subsumption_resolution,[],[f49931,f37075]) ).
fof(f37075,plain,
( ~ sum(additive_identity,multiplicative_inverse(a),additive_identity)
| spl0_3687 ),
inference(avatar_component_clause,[],[f37074]) ).
fof(f37074,plain,
( spl0_3687
<=> sum(additive_identity,multiplicative_inverse(a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3687])]) ).
fof(f49931,plain,
( sum(additive_identity,multiplicative_inverse(a),additive_identity)
| sum(additive_identity,a,additive_identity)
| product(multiplicative_identity,a,multiplicative_inverse(multiplicative_inverse(a))) ),
inference(resolution,[],[f2833,f27]) ).
fof(f2833,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,multiplicative_inverse(X0),additive_identity)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_identity,X0,multiplicative_inverse(multiplicative_inverse(X0))) ),
inference(subsumption_resolution,[],[f2825,f18]) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f2825,plain,
! [X0] :
( product(multiplicative_identity,X0,multiplicative_inverse(multiplicative_inverse(X0)))
| sum(additive_identity,multiplicative_inverse(X0),additive_identity)
| ~ defined(multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f636,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f636,plain,
! [X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| product(multiplicative_identity,X1,multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f630,f18]) ).
fof(f630,plain,
! [X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| product(multiplicative_identity,X1,multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| ~ defined(multiplicative_inverse(X0)) ),
inference(resolution,[],[f135,f33]) ).
fof(f33,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ product(multiplicative_inverse(X0),X2,X3)
| ~ product(X0,X1,X2)
| product(multiplicative_identity,X1,X3)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f7,f9]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X0,X1,X2)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f38621,plain,
( spl0_14
| ~ spl0_3687 ),
inference(avatar_contradiction_clause,[],[f38620]) ).
fof(f38620,plain,
( $false
| spl0_14
| ~ spl0_3687 ),
inference(subsumption_resolution,[],[f38607,f215]) ).
fof(f215,plain,
( ~ sum(additive_identity,additive_identity,multiplicative_inverse(a))
| spl0_14 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl0_14
<=> sum(additive_identity,additive_identity,multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f38607,plain,
( sum(additive_identity,additive_identity,multiplicative_inverse(a))
| ~ spl0_3687 ),
inference(resolution,[],[f37076,f924]) ).
fof(f924,plain,
! [X0] :
( ~ sum(additive_identity,multiplicative_inverse(a),X0)
| sum(additive_identity,X0,multiplicative_inverse(a)) ),
inference(resolution,[],[f244,f38]) ).
fof(f38,plain,
defined(multiplicative_inverse(a)),
inference(subsumption_resolution,[],[f36,f27]) ).
fof(f36,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f18,f28]) ).
fof(f244,plain,
! [X0,X1] :
( ~ defined(X0)
| sum(additive_identity,X1,X0)
| ~ sum(additive_identity,X0,X1) ),
inference(subsumption_resolution,[],[f239,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f239,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,X1,X0)
| ~ defined(X0)
| ~ defined(additive_identity) ),
inference(resolution,[],[f98,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X0,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X3,X2,X1)
| ~ defined(X1) ),
inference(resolution,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f37076,plain,
( sum(additive_identity,multiplicative_inverse(a),additive_identity)
| ~ spl0_3687 ),
inference(avatar_component_clause,[],[f37074]) ).
fof(f37057,plain,
( ~ spl0_14
| spl0_16
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f37056]) ).
fof(f37056,plain,
( $false
| ~ spl0_14
| spl0_16
| ~ spl0_266 ),
inference(subsumption_resolution,[],[f37026,f279]) ).
fof(f279,plain,
( ~ sum(additive_identity,multiplicative_identity,additive_identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl0_16
<=> sum(additive_identity,multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f37026,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(resolution,[],[f36988,f972]) ).
fof(f972,plain,
! [X0] :
( ~ sum(multiplicative_identity,X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f303,f17]) ).
fof(f303,plain,
! [X0,X1] :
( ~ defined(X0)
| sum(additive_identity,X1,additive_identity)
| ~ sum(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X0)
| ~ defined(X0) ),
inference(resolution,[],[f115,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X2,X3)
| ~ sum(X0,X1,X2)
| sum(additive_identity,X1,X3)
| ~ defined(X0) ),
inference(resolution,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X1,X2)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f36988,plain,
( sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(subsumption_resolution,[],[f36987,f27]) ).
fof(f36987,plain,
( sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ defined(a)
| ~ spl0_14
| ~ spl0_266 ),
inference(subsumption_resolution,[],[f36946,f28]) ).
fof(f36946,plain,
( sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a)
| ~ spl0_14
| ~ spl0_266 ),
inference(resolution,[],[f36863,f4429]) ).
fof(f4429,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| sum(X1,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f4428]) ).
fof(f4428,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| sum(X1,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f715,f9]) ).
fof(f715,plain,
! [X2,X0,X1] :
( ~ product(multiplicative_inverse(X0),X0,X1)
| ~ product(additive_identity,X0,X2)
| sum(X2,X1,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f713,f18]) ).
fof(f713,plain,
! [X2,X0,X1] :
( ~ product(multiplicative_inverse(X0),X0,X1)
| ~ product(additive_identity,X0,X2)
| sum(X2,X1,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| ~ defined(multiplicative_inverse(X0)) ),
inference(resolution,[],[f142,f3]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,multiplicative_inverse(X1))
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X2,X4,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f11,f9]) ).
fof(f11,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X9,X5,X8)
| ~ product(X0,X5,X6)
| ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9)
| sum(X6,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f36863,plain,
( product(additive_identity,a,multiplicative_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(resolution,[],[f36818,f10]) ).
fof(f36818,plain,
( product(a,additive_identity,multiplicative_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(subsumption_resolution,[],[f36817,f28]) ).
fof(f36817,plain,
( product(a,additive_identity,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(subsumption_resolution,[],[f36816,f27]) ).
fof(f36816,plain,
( product(a,additive_identity,multiplicative_identity)
| ~ defined(a)
| sum(additive_identity,a,additive_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(subsumption_resolution,[],[f36774,f17]) ).
fof(f36774,plain,
( product(a,additive_identity,multiplicative_identity)
| ~ defined(multiplicative_identity)
| ~ defined(a)
| sum(additive_identity,a,additive_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(resolution,[],[f36712,f261]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ product(multiplicative_inverse(X0),X1,X2)
| product(X0,X2,X1)
| ~ defined(X1)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f128,f49]) ).
fof(f49,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f9,f10]) ).
fof(f36712,plain,
( product(multiplicative_inverse(a),multiplicative_identity,additive_identity)
| ~ spl0_14
| ~ spl0_266 ),
inference(resolution,[],[f12687,f2443]) ).
fof(f2443,plain,
( ! [X0] :
( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0)
| product(X0,multiplicative_identity,additive_identity) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f2442]) ).
fof(f2442,plain,
( spl0_266
<=> ! [X0] :
( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0)
| product(X0,multiplicative_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f12687,plain,
( sum(additive_inverse(multiplicative_identity),multiplicative_identity,multiplicative_inverse(a))
| ~ spl0_14 ),
inference(resolution,[],[f11228,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f11228,plain,
( sum(multiplicative_identity,additive_inverse(multiplicative_identity),multiplicative_inverse(a))
| ~ spl0_14 ),
inference(resolution,[],[f216,f1109]) ).
fof(f1109,plain,
! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(multiplicative_identity,additive_inverse(multiplicative_identity),X0) ),
inference(subsumption_resolution,[],[f1104,f17]) ).
fof(f1104,plain,
! [X0] :
( sum(multiplicative_identity,additive_inverse(multiplicative_identity),X0)
| ~ sum(additive_identity,additive_identity,X0)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f252,f31]) ).
fof(f31,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f5,f4]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ sum(multiplicative_identity,X2,X0)
| sum(multiplicative_identity,X2,X1)
| ~ sum(additive_identity,X0,X1) ),
inference(resolution,[],[f113,f17]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ sum(additive_identity,X2,X3)
| sum(X0,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f2,f3]) ).
fof(f216,plain,
( sum(additive_identity,additive_identity,multiplicative_inverse(a))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f5223,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f5222]) ).
fof(f5222,plain,
( $false
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f5216,f26]) ).
fof(f26,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_identities) ).
fof(f5216,plain,
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ spl0_16 ),
inference(resolution,[],[f923,f280]) ).
fof(f280,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f923,plain,
! [X0] :
( ~ sum(additive_identity,multiplicative_identity,X0)
| sum(additive_identity,X0,multiplicative_identity) ),
inference(resolution,[],[f244,f17]) ).
fof(f2449,plain,
spl0_265,
inference(avatar_contradiction_clause,[],[f2448]) ).
fof(f2448,plain,
( $false
| spl0_265 ),
inference(subsumption_resolution,[],[f2447,f17]) ).
fof(f2447,plain,
( ~ defined(multiplicative_identity)
| spl0_265 ),
inference(resolution,[],[f2440,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f2440,plain,
( ~ defined(additive_inverse(multiplicative_identity))
| spl0_265 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f2438,plain,
( spl0_265
<=> defined(additive_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f2444,plain,
( ~ spl0_265
| spl0_266 ),
inference(avatar_split_clause,[],[f2436,f2442,f2438]) ).
fof(f2436,plain,
! [X0] :
( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0)
| product(X0,multiplicative_identity,additive_identity)
| ~ defined(additive_inverse(multiplicative_identity)) ),
inference(subsumption_resolution,[],[f2423,f17]) ).
fof(f2423,plain,
! [X0] :
( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0)
| product(X0,multiplicative_identity,additive_identity)
| ~ defined(additive_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f614,f4]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,X2)
| ~ sum(X0,multiplicative_identity,X1)
| product(X1,multiplicative_identity,X2)
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f605,f17]) ).
fof(f605,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| ~ sum(X0,multiplicative_identity,X2)
| product(X1,multiplicative_identity,X2)
| ~ defined(multiplicative_identity)
| ~ defined(X0) ),
inference(resolution,[],[f146,f33]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,multiplicative_identity,X3)
| ~ sum(X2,X1,X4)
| product(X3,X1,X4)
| ~ defined(X1) ),
inference(resolution,[],[f12,f8]) ).
fof(f12,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ product(X0,X5,X6)
| ~ sum(X0,X3,X9)
| ~ sum(X6,X7,X8)
| product(X9,X5,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD011-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:46:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (6743)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (6745)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (6744)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (6747)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (6746)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (6749)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (6748)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (6750)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.43 TRYING [5]
% 0.14/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [5]
% 0.22/0.50 TRYING [6]
% 0.22/0.51 TRYING [6]
% 0.22/0.51 TRYING [6]
% 0.22/0.53 TRYING [6]
% 1.63/0.62 TRYING [7]
% 1.63/0.63 TRYING [7]
% 2.17/0.66 TRYING [7]
% 2.17/0.69 TRYING [7]
% 3.46/0.88 TRYING [8]
% 4.13/0.95 TRYING [8]
% 4.13/0.95 TRYING [8]
% 5.04/1.13 TRYING [8]
% 6.26/1.26 % (6749)First to succeed.
% 6.26/1.27 % (6749)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6743"
% 6.26/1.27 % (6749)Refutation found. Thanks to Tanya!
% 6.26/1.27 % SZS status Unsatisfiable for theBenchmark
% 6.26/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 6.26/1.27 % (6749)------------------------------
% 6.26/1.27 % (6749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.26/1.27 % (6749)Termination reason: Refutation
% 6.26/1.27
% 6.26/1.27 % (6749)Memory used [KB]: 15286
% 6.26/1.27 % (6749)Time elapsed: 0.887 s
% 6.26/1.27 % (6749)Instructions burned: 2551 (million)
% 6.26/1.27 % (6743)Success in time 0.894 s
%------------------------------------------------------------------------------