%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD059-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 17:20:27 EDT 2024
% Result : Unsatisfiable 204.54s 204.75s
% Output : Refutation 204.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 41 ( 20 unt; 3 nHn; 41 RR)
% Number of literals : 75 ( 0 equ; 32 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 : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_less_or_equal_5,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
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(totality_of_order_relation,axiom,
( less_or_equal(X72,X73)
| less_or_equal(X73,X72)
| ~ defined(X72)
| ~ defined(X73) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(c703,plain,
( less_or_equal(X74,X74)
| ~ defined(X74) ),
inference(factor,[status(thm)],[totality_of_order_relation]) ).
cnf(c741,plain,
less_or_equal(additive_identity,additive_identity),
inference(resolution,[status(thm)],[c703,well_definedness_of_additive_identity]) ).
cnf(sum_4,negated_conjecture,
sum(a,a,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_4) ).
cnf(associativity_addition_1,axiom,
( sum(X4,X5,X2)
| ~ sum(X4,X3,X6)
| ~ sum(X3,X7,X5)
| ~ sum(X6,X7,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c0,plain,
( sum(X86,X85,X86)
| ~ sum(X86,X87,X86)
| ~ sum(X87,X87,X85) ),
inference(factor,[status(thm)],[associativity_addition_1]) ).
cnf(c1026,plain,
( sum(X230,u,X230)
| ~ sum(X230,a,X230) ),
inference(resolution,[status(thm)],[c0,sum_4]) ).
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(c573,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(transitivity_of_order_relation,axiom,
( less_or_equal(X68,X70)
| ~ less_or_equal(X68,X69)
| ~ less_or_equal(X69,X70) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(c654,plain,
( less_or_equal(X108,a)
| ~ less_or_equal(X108,additive_identity) ),
inference(resolution,[status(thm)],[transitivity_of_order_relation,less_or_equal_3]) ).
cnf(u_is_defined,plain,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(c704,plain,
( less_or_equal(X419,additive_identity)
| less_or_equal(additive_identity,X419)
| ~ defined(X419) ),
inference(resolution,[status(thm)],[totality_of_order_relation,well_definedness_of_additive_identity]) ).
cnf(c31454,plain,
( less_or_equal(u,additive_identity)
| less_or_equal(additive_identity,u) ),
inference(resolution,[status(thm)],[c704,u_is_defined]) ).
cnf(c31673,plain,
less_or_equal(u,additive_identity),
inference(resolution,[status(thm)],[c31454,not_less_or_equal_5]) ).
cnf(c31676,plain,
less_or_equal(u,a),
inference(resolution,[status(thm)],[c31673,c654]) ).
cnf(commutativity_addition,axiom,
( sum(X19,X18,X20)
| ~ sum(X18,X19,X20) ),
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_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(c37,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[existence_of_inverse_addition,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(c17,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(c33,plain,
( sum(X126,X124,a)
| ~ sum(X126,X125,additive_identity)
| ~ sum(X125,a,X124) ),
inference(resolution,[status(thm)],[c17,associativity_addition_1]) ).
cnf(c2632,plain,
( sum(X594,u,a)
| ~ sum(X594,a,additive_identity) ),
inference(resolution,[status(thm)],[c33,sum_4]) ).
cnf(c270568,plain,
sum(additive_inverse(a),u,a),
inference(resolution,[status(thm)],[c2632,c37]) ).
cnf(c270770,plain,
sum(u,additive_inverse(a),a),
inference(resolution,[status(thm)],[c270568,commutativity_addition]) ).
cnf(c147,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[status(thm)],[c37,commutativity_addition]) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X78,X77)
| ~ less_or_equal(X76,X75)
| ~ sum(X76,X79,X78)
| ~ sum(X75,X79,X77) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c788,plain,
( less_or_equal(X641,additive_identity)
| ~ less_or_equal(X642,a)
| ~ sum(X642,additive_inverse(a),X641) ),
inference(resolution,[status(thm)],[compatibility_of_order_relation_and_addition,c147]) ).
cnf(c393103,plain,
( less_or_equal(a,additive_identity)
| ~ less_or_equal(u,a) ),
inference(resolution,[status(thm)],[c788,c270770]) ).
cnf(c393106,plain,
less_or_equal(a,additive_identity),
inference(resolution,[status(thm)],[c393103,c31676]) ).
cnf(c393109,plain,
sum(additive_identity,a,additive_identity),
inference(resolution,[status(thm)],[c393106,c573]) ).
cnf(c393115,plain,
sum(additive_identity,u,additive_identity),
inference(resolution,[status(thm)],[c393109,c1026]) ).
cnf(c18,plain,
sum(additive_identity,u,u),
inference(resolution,[status(thm)],[existence_of_identity_addition,u_is_defined]) ).
cnf(c798,plain,
( less_or_equal(X661,u)
| ~ less_or_equal(X662,additive_identity)
| ~ sum(X662,u,X661) ),
inference(resolution,[status(thm)],[compatibility_of_order_relation_and_addition,c18]) ).
cnf(c393531,plain,
( less_or_equal(additive_identity,u)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c798,c393115]) ).
cnf(c414577,plain,
less_or_equal(additive_identity,u),
inference(resolution,[status(thm)],[c393531,c741]) ).
cnf(c414581,plain,
$false,
inference(resolution,[status(thm)],[c414577,not_less_or_equal_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD059-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 23:56:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 204.54/204.75 % Version: 1.5
% 204.54/204.75 % SZS status Unsatisfiable
% 204.54/204.75 % SZS output start CNFRefutation
% See solution above
% 204.54/204.75
% 204.54/204.75 % Initial clauses : 31
% 204.54/204.75 % Processed clauses : 2470
% 204.54/204.75 % Factors computed : 85
% 204.54/204.75 % Resolvents computed: 414507
% 204.54/204.75 % Tautologies deleted: 60
% 204.54/204.75 % Forward subsumed : 410
% 204.54/204.75 % Backward subsumed : 10
% 204.54/204.75 % -------- CPU Time ---------
% 204.54/204.75 % User time : 203.790 s
% 204.54/204.75 % System time : 0.600 s
% 204.54/204.75 % Total time : 204.390 s
%------------------------------------------------------------------------------