TSTP Solution File: FLD043-5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD043-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 Aug 30 22:37:46 EDT 2023
% Result : Unsatisfiable 69.50s 10.35s
% Output : Refutation 69.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 105 ( 22 unt; 0 def)
% Number of atoms : 237 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 285 ( 153 ~; 124 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 222 (; 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f824086,plain,
$false,
inference(resolution,[],[f824079,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',well_definedness_of_multiplicative_identity) ).
fof(f824079,plain,
~ defined(multiplicative_identity),
inference(resolution,[],[f824075,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',existence_of_identity_addition) ).
fof(f824075,plain,
~ sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f824064,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',commutativity_addition) ).
fof(f824064,plain,
~ sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(resolution,[],[f823963,f153]) ).
fof(f153,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[],[f48,f5]) ).
fof(f48,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f27,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',existence_of_inverse_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',a_is_defined) ).
fof(f823963,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ sum(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(resolution,[],[f823961,f223753]) ).
fof(f223753,plain,
! [X0] :
( ~ sum(a,multiply(additive_identity,a),X0)
| ~ sum(X0,additive_inverse(a),additive_identity) ),
inference(resolution,[],[f204667,f5]) ).
fof(f204667,plain,
! [X9] :
( ~ sum(multiply(additive_identity,a),a,X9)
| ~ sum(X9,additive_inverse(a),additive_identity) ),
inference(resolution,[],[f148579,f173]) ).
fof(f173,plain,
! [X12,X13] :
( ~ sP4(X13,X12,additive_inverse(a),additive_identity)
| ~ sum(X12,a,X13) ),
inference(resolution,[],[f153,f38]) ).
fof(f38,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f37_D]) ).
fof(f37,plain,
! [X2,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2)
| sP4(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2) )
<=> ~ sP4(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
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/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',associativity_addition_1) ).
fof(f148579,plain,
! [X2,X3] :
( sP4(X2,multiply(additive_identity,a),X3,additive_identity)
| ~ sum(X2,X3,additive_identity) ),
inference(resolution,[],[f148576,f37]) ).
fof(f148576,plain,
~ sum(multiply(additive_identity,a),additive_identity,additive_identity),
inference(resolution,[],[f148550,f4540]) ).
fof(f4540,plain,
sum(multiply(additive_identity,a),additive_identity,multiply(additive_identity,a)),
inference(resolution,[],[f4468,f5]) ).
fof(f4468,plain,
sum(additive_identity,multiply(additive_identity,a),multiply(additive_identity,a)),
inference(resolution,[],[f241,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',well_definedness_of_additive_identity) ).
fof(f241,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,multiply(X0,a),multiply(X0,a)) ),
inference(resolution,[],[f55,f3]) ).
fof(f55,plain,
! [X3] :
( defined(multiply(X3,a))
| ~ defined(X3) ),
inference(resolution,[],[f27,f16]) ).
fof(f16,axiom,
! [X3,X0] :
( ~ defined(X3)
| ~ defined(X0)
| defined(multiply(X0,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',well_definedness_of_multiplication) ).
fof(f148550,plain,
! [X4] :
( ~ sum(X4,additive_identity,multiply(additive_identity,a))
| ~ sum(X4,additive_identity,additive_identity) ),
inference(resolution,[],[f12769,f2377]) ).
fof(f2377,plain,
! [X6,X7] :
( ~ sP3(additive_identity,X7,X6,additive_identity)
| ~ sum(X6,additive_identity,X7) ),
inference(resolution,[],[f2368,f36]) ).
fof(f36,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X5,X4,X0,X1) ),
inference(general_splitting,[],[f2,f35_D]) ).
fof(f35,plain,
! [X2,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X4,X5,X2)
| sP3(X5,X4,X0,X1) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( ~ sum(X0,X1,X2)
| sum(X4,X5,X2) )
<=> ~ sP3(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',associativity_addition_2) ).
fof(f2368,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[],[f2367,f27]) ).
fof(f2367,plain,
( ~ defined(a)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(duplicate_literal_removal,[],[f2359]) ).
fof(f2359,plain,
( ~ defined(a)
| sum(additive_identity,additive_identity,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f914,f902]) ).
fof(f902,plain,
( less_or_equal(additive_identity,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f900,f714]) ).
fof(f714,plain,
( less_or_equal(a,a)
| ~ defined(a) ),
inference(factoring,[],[f61]) ).
fof(f61,plain,
! [X8] :
( less_or_equal(a,X8)
| less_or_equal(X8,a)
| ~ defined(X8) ),
inference(resolution,[],[f27,f23]) ).
fof(f23,axiom,
! [X3,X0] :
( ~ defined(X3)
| ~ defined(X0)
| less_or_equal(X3,X0)
| less_or_equal(X0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',totality_of_order_relation) ).
fof(f900,plain,
( ~ less_or_equal(a,a)
| less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[],[f167,f166]) ).
fof(f166,plain,
! [X0] :
( sP0(additive_inverse(a),X0,additive_identity)
| ~ less_or_equal(X0,a) ),
inference(resolution,[],[f153,f29]) ).
fof(f29,plain,
! [X3,X0,X1,X5] :
( ~ less_or_equal(X0,X3)
| ~ sum(X3,X5,X1)
| sP0(X5,X0,X1) ),
inference(cnf_transformation,[],[f29_D]) ).
fof(f29_D,plain,
! [X1,X0,X5] :
( ! [X3] :
( ~ less_or_equal(X0,X3)
| ~ sum(X3,X5,X1) )
<=> ~ sP0(X5,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f167,plain,
! [X1] :
( ~ sP0(additive_inverse(a),a,X1)
| less_or_equal(additive_identity,X1) ),
inference(resolution,[],[f153,f30]) ).
fof(f30,plain,
! [X0,X1,X4,X5] :
( less_or_equal(X4,X1)
| ~ sum(X0,X5,X4)
| ~ sP0(X5,X0,X1) ),
inference(general_splitting,[],[f24,f29_D]) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| less_or_equal(X4,X1)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',compatibility_of_order_relation_and_addition) ).
fof(f914,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(a)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(resolution,[],[f902,f21]) ).
fof(f21,axiom,
! [X3,X0] :
( ~ less_or_equal(X3,X0)
| ~ less_or_equal(X0,X3)
| sum(additive_identity,X0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',antisymmetry_of_order_relation) ).
fof(f12769,plain,
! [X0,X1] :
( sP3(additive_identity,additive_identity,X0,X1)
| ~ sum(X0,X1,multiply(additive_identity,a)) ),
inference(resolution,[],[f12766,f35]) ).
fof(f12766,plain,
~ sum(additive_identity,additive_identity,multiply(additive_identity,a)),
inference(resolution,[],[f12747,f14]) ).
fof(f12747,plain,
( ~ defined(additive_identity)
| ~ sum(additive_identity,additive_identity,multiply(additive_identity,a)) ),
inference(resolution,[],[f12707,f1335]) ).
fof(f1335,plain,
( ~ product(multiply(additive_identity,a),multiplicative_identity,additive_identity)
| ~ defined(additive_identity) ),
inference(resolution,[],[f1325,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',commutativity_multiplication) ).
fof(f1325,plain,
( ~ product(multiplicative_identity,multiply(additive_identity,a),additive_identity)
| ~ defined(additive_identity) ),
inference(resolution,[],[f1323,f689]) ).
fof(f689,plain,
! [X0] :
( product(a,X0,multiply(X0,a))
| ~ defined(X0) ),
inference(resolution,[],[f60,f10]) ).
fof(f60,plain,
! [X7] :
( product(X7,a,multiply(X7,a))
| ~ defined(X7) ),
inference(resolution,[],[f27,f20]) ).
fof(f20,axiom,
! [X3,X0] :
( ~ defined(X3)
| ~ defined(X0)
| product(X0,X3,multiply(X0,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',totality_of_multiplication) ).
fof(f1323,plain,
! [X4] :
( ~ product(a,additive_identity,X4)
| ~ product(multiplicative_identity,X4,additive_identity) ),
inference(resolution,[],[f102,f84]) ).
fof(f84,plain,
! [X0,X1] :
( sP1(additive_identity,a,X0,X1)
| ~ product(X0,X1,additive_identity) ),
inference(resolution,[],[f63,f31]) ).
fof(f31,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| product(X4,X5,X2)
| sP1(X5,X4,X0,X1) ),
inference(cnf_transformation,[],[f31_D]) ).
fof(f31_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( ~ product(X0,X1,X2)
| product(X4,X5,X2) )
<=> ~ sP1(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f63,plain,
~ product(a,additive_identity,additive_identity),
inference(resolution,[],[f28,f10]) ).
fof(f28,axiom,
~ product(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',not_product_2) ).
fof(f102,plain,
! [X2,X3] :
( ~ sP1(X2,a,multiplicative_identity,X3)
| ~ product(a,X2,X3) ),
inference(resolution,[],[f49,f32]) ).
fof(f32,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP1(X5,X4,X0,X1) ),
inference(general_splitting,[],[f7,f31_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',associativity_multiplication_2) ).
fof(f49,plain,
product(multiplicative_identity,a,a),
inference(resolution,[],[f27,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',existence_of_identity_multiplication) ).
fof(f12707,plain,
! [X0] :
( product(X0,multiplicative_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,X0) ),
inference(resolution,[],[f12535,f7168]) ).
fof(f7168,plain,
! [X18,X19] :
( sP7(X19,X18,multiplicative_identity,additive_identity)
| ~ sum(X18,additive_identity,X19) ),
inference(resolution,[],[f7150,f43]) ).
fof(f43,plain,
! [X3,X0,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9)
| sP7(X9,X0,X5,X7) ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
! [X7,X5,X0,X9] :
( ! [X3] :
( ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9) )
<=> ~ sP7(X9,X0,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f7150,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(resolution,[],[f6238,f269]) ).
fof(f269,plain,
product(additive_inverse(a),multiplicative_identity,additive_inverse(a)),
inference(resolution,[],[f69,f10]) ).
fof(f69,plain,
product(multiplicative_identity,additive_inverse(a),additive_inverse(a)),
inference(resolution,[],[f53,f8]) ).
fof(f53,plain,
defined(additive_inverse(a)),
inference(resolution,[],[f27,f15]) ).
fof(f15,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',well_definedness_of_additive_inverse) ).
fof(f6238,plain,
( ~ product(additive_inverse(a),multiplicative_identity,additive_inverse(a))
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(resolution,[],[f5252,f175]) ).
fof(f175,plain,
! [X16,X17] :
( sP7(additive_identity,a,X16,X17)
| ~ product(additive_inverse(a),X16,X17) ),
inference(resolution,[],[f153,f43]) ).
fof(f5252,plain,
! [X4] :
( ~ sP7(X4,a,multiplicative_identity,additive_inverse(a))
| product(X4,multiplicative_identity,additive_identity) ),
inference(resolution,[],[f176,f152]) ).
fof(f152,plain,
! [X21,X20] :
( sP8(multiplicative_identity,X20,a,X21)
| ~ sP7(X20,a,multiplicative_identity,X21) ),
inference(resolution,[],[f99,f45]) ).
fof(f45,plain,
! [X0,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ sP7(X9,X0,X5,X7)
| sP8(X5,X9,X6,X7) ),
inference(cnf_transformation,[],[f45_D]) ).
fof(f45_D,plain,
! [X7,X6,X9,X5] :
( ! [X0] :
( ~ product(X0,X5,X6)
| ~ sP7(X9,X0,X5,X7) )
<=> ~ sP8(X5,X9,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f99,plain,
product(a,multiplicative_identity,a),
inference(resolution,[],[f49,f10]) ).
fof(f176,plain,
! [X18,X19] :
( ~ sP8(X19,X18,a,additive_inverse(a))
| product(X18,X19,additive_identity) ),
inference(resolution,[],[f153,f46]) ).
fof(f46,plain,
! [X8,X6,X9,X7,X5] :
( ~ sum(X6,X7,X8)
| product(X9,X5,X8)
| ~ sP8(X5,X9,X6,X7) ),
inference(general_splitting,[],[f44,f45_D]) ).
fof(f44,plain,
! [X0,X8,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ sum(X6,X7,X8)
| product(X9,X5,X8)
| ~ sP7(X9,X0,X5,X7) ),
inference(general_splitting,[],[f12,f43_D]) ).
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/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',distributivity_2) ).
fof(f12535,plain,
! [X3] :
( ~ sP7(X3,additive_identity,multiplicative_identity,additive_identity)
| product(X3,multiplicative_identity,additive_identity) ),
inference(resolution,[],[f7169,f2383]) ).
fof(f2383,plain,
! [X18,X19] :
( ~ sP8(X19,X18,additive_identity,additive_identity)
| product(X18,X19,additive_identity) ),
inference(resolution,[],[f2368,f46]) ).
fof(f7169,plain,
! [X21,X20] :
( sP8(multiplicative_identity,X20,additive_identity,X21)
| ~ sP7(X20,additive_identity,multiplicative_identity,X21) ),
inference(resolution,[],[f7150,f45]) ).
fof(f823961,plain,
( sum(a,multiply(additive_identity,a),a)
| ~ sum(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(resolution,[],[f823259,f3050]) ).
fof(f3050,plain,
! [X0] :
( ~ sP5(multiplicative_identity,multiplicative_identity,a,X0)
| sum(a,X0,a) ),
inference(resolution,[],[f108,f109]) ).
fof(f109,plain,
! [X16,X17] :
( ~ sP6(a,multiplicative_identity,X16,X17)
| sum(X16,X17,a) ),
inference(resolution,[],[f49,f42]) ).
fof(f42,plain,
! [X8,X6,X9,X7,X5] :
( ~ product(X9,X5,X8)
| sum(X6,X7,X8)
| ~ sP6(X5,X9,X6,X7) ),
inference(general_splitting,[],[f40,f41_D]) ).
fof(f41,plain,
! [X0,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ sP5(X9,X0,X5,X7)
| sP6(X5,X9,X6,X7) ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,plain,
! [X7,X6,X9,X5] :
( ! [X0] :
( ~ product(X0,X5,X6)
| ~ sP5(X9,X0,X5,X7) )
<=> ~ sP6(X5,X9,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f40,plain,
! [X0,X8,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| sum(X6,X7,X8)
| ~ sP5(X9,X0,X5,X7) ),
inference(general_splitting,[],[f11,f39_D]) ).
fof(f39,plain,
! [X3,X0,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9)
| sP5(X9,X0,X5,X7) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
! [X7,X5,X0,X9] :
( ! [X3] :
( ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9) )
<=> ~ sP5(X9,X0,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f11,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| ~ sum(X0,X3,X9)
| sum(X6,X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660',distributivity_1) ).
fof(f108,plain,
! [X14,X15] :
( sP6(a,X14,a,X15)
| ~ sP5(X14,multiplicative_identity,a,X15) ),
inference(resolution,[],[f49,f41]) ).
fof(f823259,plain,
! [X0,X1] :
( sP5(X1,X0,a,multiply(additive_identity,a))
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f697,f14]) ).
fof(f697,plain,
! [X21,X22,X20] :
( ~ defined(X20)
| ~ sum(X21,X20,X22)
| sP5(X22,X21,a,multiply(X20,a)) ),
inference(resolution,[],[f60,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD043-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n007.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 : Sun Aug 27 23:23:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.DoH1DO6lAh/Vampire---4.8_12660
% 0.15/0.37 % (12799)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12805)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (12804)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (12802)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43 % (12803)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43 % (12800)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.43 % (12806)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.43 % (12801)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 69.50/10.34 % (12806)First to succeed.
% 69.50/10.35 % (12806)Refutation found. Thanks to Tanya!
% 69.50/10.35 % SZS status Unsatisfiable for Vampire---4
% 69.50/10.35 % SZS output start Proof for Vampire---4
% See solution above
% 69.50/10.35 % (12806)------------------------------
% 69.50/10.35 % (12806)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 69.50/10.35 % (12806)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 69.50/10.35 % (12806)Termination reason: Refutation
% 69.50/10.35
% 69.50/10.35 % (12806)Memory used [KB]: 114369
% 69.50/10.35 % (12806)Time elapsed: 9.897 s
% 69.50/10.35 % (12806)------------------------------
% 69.50/10.35 % (12806)------------------------------
% 69.50/10.35 % (12799)Success in time 9.938 s
% 69.50/10.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------