%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD058-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 : Thu May 9 17:20:26 EDT 2024
% Result : Unsatisfiable 144.44s 144.64s
% Output : Refutation 144.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 31 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 52 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_sum_5,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X65,X66)
| ~ less_or_equal(X65,X66)
| ~ less_or_equal(X66,X65) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(c562,plain,
( sum(additive_identity,a,additive_identity)
| ~ less_or_equal(a,additive_identity) ),
inference(resolution,[status(thm)],[antisymmetry_of_order_relation,less_or_equal_3]) ).
cnf(less_or_equal_4,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(commutativity_addition,axiom,
( sum(X20,X19,X18)
| ~ sum(X19,X20,X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(a_is_defined,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X15,X15)
| ~ defined(X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c16,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(associativity_addition_1,axiom,
( sum(X7,X6,X2)
| ~ sum(X7,X5,X4)
| ~ sum(X5,X3,X6)
| ~ sum(X4,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c1,plain,
( sum(X89,X91,X91)
| ~ sum(X89,X92,X92)
| ~ sum(X92,X90,X91) ),
inference(factor,[status(thm)],[associativity_addition_1]) ).
cnf(c1129,plain,
( sum(X536,a,a)
| ~ sum(X536,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c1,c16]) ).
cnf(b_is_defined,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X16),X16,additive_identity)
| ~ defined(X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(c43,plain,
sum(additive_inverse(b),b,additive_identity),
inference(resolution,[status(thm)],[existence_of_inverse_addition,b_is_defined]) ).
cnf(sum_6,negated_conjecture,
sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(c63,plain,
sum(b,additive_identity,additive_identity),
inference(resolution,[status(thm)],[commutativity_addition,sum_6]) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c15,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
cnf(c31,plain,
( sum(X117,X118,additive_identity)
| ~ sum(X117,X119,additive_identity)
| ~ sum(X119,additive_identity,X118) ),
inference(resolution,[status(thm)],[c15,associativity_addition_1]) ).
cnf(c2355,plain,
( sum(X622,additive_identity,additive_identity)
| ~ sum(X622,b,additive_identity) ),
inference(resolution,[status(thm)],[c31,c63]) ).
cnf(c275098,plain,
sum(additive_inverse(b),additive_identity,additive_identity),
inference(resolution,[status(thm)],[c2355,c43]) ).
cnf(c276514,plain,
sum(additive_inverse(b),a,a),
inference(resolution,[status(thm)],[c275098,c1129]) ).
cnf(c279362,plain,
sum(a,additive_inverse(b),a),
inference(resolution,[status(thm)],[c276514,commutativity_addition]) ).
cnf(c170,plain,
sum(b,additive_inverse(b),additive_identity),
inference(resolution,[status(thm)],[c43,commutativity_addition]) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X76,X78)
| ~ less_or_equal(X79,X77)
| ~ sum(X79,X75,X76)
| ~ sum(X77,X75,X78) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c776,plain,
( less_or_equal(X657,additive_identity)
| ~ less_or_equal(X658,b)
| ~ sum(X658,additive_inverse(b),X657) ),
inference(resolution,[status(thm)],[compatibility_of_order_relation_and_addition,c170]) ).
cnf(c340019,plain,
( less_or_equal(a,additive_identity)
| ~ less_or_equal(a,b) ),
inference(resolution,[status(thm)],[c776,c279362]) ).
cnf(c340028,plain,
less_or_equal(a,additive_identity),
inference(resolution,[status(thm)],[c340019,less_or_equal_4]) ).
cnf(c340032,plain,
sum(additive_identity,a,additive_identity),
inference(resolution,[status(thm)],[c340028,c562]) ).
cnf(c340069,plain,
$false,
inference(resolution,[status(thm)],[c340032,not_sum_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD058-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 23:44:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 144.44/144.64 % Version: 1.5
% 144.44/144.64 % SZS status Unsatisfiable
% 144.44/144.64 % SZS output start CNFRefutation
% See solution above
% 144.44/144.64
% 144.44/144.64 % Initial clauses : 32
% 144.44/144.64 % Processed clauses : 2229
% 144.44/144.64 % Factors computed : 86
% 144.44/144.64 % Resolvents computed: 339996
% 144.44/144.64 % Tautologies deleted: 68
% 144.44/144.64 % Forward subsumed : 380
% 144.44/144.64 % Backward subsumed : 12
% 144.44/144.64 % -------- CPU Time ---------
% 144.44/144.64 % User time : 143.754 s
% 144.44/144.64 % System time : 0.524 s
% 144.44/144.64 % Total time : 144.278 s
%------------------------------------------------------------------------------