TSTP Solution File: FLD026-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD026-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 22:32:59 EDT 2023
% Result : Unsatisfiable 0.47s 1.17s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 10 unt; 8 nHn; 39 RR)
% Number of literals : 98 ( 0 equ; 53 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(c_52,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
cnf(c_53,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(c_61,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_62,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_64,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X6)
| sum(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(c_67,plain,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_71,plain,
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(c_264,plain,
product(a,multiplicative_identity,b),
inference(superposition,[status(thm)],[c_52,c_63]) ).
cnf(c_265,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_61,c_63]) ).
cnf(c_266,plain,
( ~ defined(additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_265]) ).
cnf(c_278,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(superposition,[status(thm)],[c_71,c_51]) ).
cnf(c_286,plain,
( ~ defined(X0)
| product(X0,multiplicative_inverse(X0),multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
cnf(c_295,plain,
( ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X1,X2)
| product(b,X0,X2) ),
inference(superposition,[status(thm)],[c_52,c_60]) ).
cnf(c_297,plain,
( ~ product(multiplicative_inverse(X0),X1,X2)
| ~ product(X0,X3,X1)
| ~ defined(X0)
| product(multiplicative_identity,X3,X2)
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_62,c_60]) ).
cnf(c_368,plain,
( ~ product(b,X0,X1)
| ~ product(multiplicative_identity,X0,X2)
| product(a,X2,X1) ),
inference(superposition,[status(thm)],[c_264,c_59]) ).
cnf(c_370,plain,
( ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X2,X0)
| product(b,X2,X1) ),
inference(superposition,[status(thm)],[c_264,c_60]) ).
cnf(c_449,plain,
( ~ product(multiplicative_identity,a,X0)
| ~ defined(a)
| product(b,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_265,c_295]) ).
cnf(c_503,plain,
( ~ product(X0,X1,multiplicative_identity)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X0)
| product(multiplicative_identity,X1,multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_265,c_297]) ).
cnf(c_748,plain,
( ~ product(multiplicative_identity,X0,multiplicative_inverse(a))
| ~ defined(a)
| product(b,X0,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(superposition,[status(thm)],[c_286,c_370]) ).
cnf(c_768,plain,
( ~ product(multiplicative_identity,multiplicative_inverse(b),X0)
| ~ defined(b)
| product(a,X0,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(superposition,[status(thm)],[c_286,c_368]) ).
cnf(c_1031,plain,
( ~ product(multiplicative_identity,a,X0)
| product(b,multiplicative_identity,X0) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_49,c_449]) ).
cnf(c_1039,plain,
( ~ defined(a)
| product(b,multiplicative_identity,a) ),
inference(superposition,[status(thm)],[c_61,c_1031]) ).
cnf(c_1242,plain,
( ~ product(X0,X1,multiplicative_identity)
| ~ defined(X0)
| product(multiplicative_identity,X1,multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity) ),
inference(global_subsumption_just,[status(thm)],[c_503,c_71,c_503]) ).
cnf(c_1252,plain,
( ~ product(b,multiplicative_inverse(a),multiplicative_identity)
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(superposition,[status(thm)],[c_1242,c_53]) ).
cnf(c_2171,plain,
( product(b,X0,multiplicative_identity)
| ~ product(multiplicative_identity,X0,multiplicative_inverse(a)) ),
inference(global_subsumption_just,[status(thm)],[c_748,c_49,c_51,c_748]) ).
cnf(c_2172,plain,
( ~ product(multiplicative_identity,X0,multiplicative_inverse(a))
| product(b,X0,multiplicative_identity) ),
inference(renaming,[status(thm)],[c_2171]) ).
cnf(c_2178,plain,
( ~ defined(multiplicative_inverse(a))
| product(b,multiplicative_inverse(a),multiplicative_identity) ),
inference(superposition,[status(thm)],[c_61,c_2172]) ).
cnf(c_2219,plain,
sum(additive_identity,b,additive_identity),
inference(global_subsumption_just,[status(thm)],[c_768,c_50,c_49,c_278,c_1252,c_2178]) ).
cnf(c_2232,plain,
( ~ product(b,X0,X1)
| ~ product(additive_identity,X0,X2)
| ~ product(additive_identity,X0,X3)
| sum(X2,X1,X3) ),
inference(superposition,[status(thm)],[c_2219,c_64]) ).
cnf(c_2973,plain,
product(b,multiplicative_identity,a),
inference(global_subsumption_just,[status(thm)],[c_1039,c_49,c_1039]) ).
cnf(c_10997,plain,
( ~ product(additive_identity,multiplicative_identity,X0)
| ~ product(additive_identity,multiplicative_identity,X1)
| sum(X0,a,X1) ),
inference(superposition,[status(thm)],[c_2973,c_2232]) ).
cnf(c_11006,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_10997]) ).
cnf(c_11007,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11006,c_266,c_51,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD026-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 00:48:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.17 % SZS status Started for theBenchmark.p
% 0.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.17
% 0.47/1.17 ------ iProver source info
% 0.47/1.17
% 0.47/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.17 git: non_committed_changes: false
% 0.47/1.17 git: last_make_outside_of_git: false
% 0.47/1.17
% 0.47/1.17 ------ Parsing...successful
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.17 ------ Proving...
% 0.47/1.17 ------ Problem Properties
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 clauses 31
% 0.47/1.17 conjectures 3
% 0.47/1.17 EPR 22
% 0.47/1.17 Horn 28
% 0.47/1.17 unary 8
% 0.47/1.17 binary 6
% 0.47/1.17 lits 82
% 0.47/1.17 lits eq 0
% 0.47/1.17 fd_pure 0
% 0.47/1.17 fd_pseudo 0
% 0.47/1.17 fd_cond 0
% 0.47/1.17 fd_pseudo_cond 0
% 0.47/1.17 AC symbols 0
% 0.47/1.17
% 0.47/1.17 ------ Input Options Time Limit: Unbounded
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------
% 0.47/1.17 Current options:
% 0.47/1.17 ------
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Proving...
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17
% 0.47/1.17
%------------------------------------------------------------------------------