TSTP Solution File: FLD033-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD033-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Fri May 3 02:15:16 EDT 2024
% Result : Unsatisfiable 3.77s 1.24s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 9 unt; 4 nHn; 24 RR)
% Number of literals : 53 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_is_defined) ).
cnf(c_51,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(c_52,negated_conjecture,
product(m,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
cnf(c_53,negated_conjecture,
~ product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c_61,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_255,negated_conjecture,
product(m,a,a),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_256,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_262,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_274,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X2,X3) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_403,plain,
( ~ product(X0,X1,m)
| ~ product(X0,X1,multiplicative_identity)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,m,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_274]) ).
cnf(c_659,plain,
( ~ product(m,multiplicative_identity,m)
| ~ product(m,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,m,m)
| product(multiplicative_identity,m,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_403]) ).
cnf(c_660,plain,
( ~ product(multiplicative_identity,m,m)
| product(m,multiplicative_identity,m) ),
inference(instantiation,[status(thm)],[c_262]) ).
cnf(c_729,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_1451,plain,
( ~ defined(m)
| product(multiplicative_identity,m,m) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_2446,plain,
( ~ product(a,X0,X1)
| ~ product(a,X0,X2)
| product(m,X1,X2) ),
inference(superposition,[status(thm)],[c_255,c_59]) ).
cnf(c_3386,plain,
( ~ product(a,multiplicative_inverse(a),X0)
| ~ defined(a)
| product(m,multiplicative_identity,X0)
| sum(additive_identity,a,additive_identity) ),
inference(superposition,[status(thm)],[c_729,c_2446]) ).
cnf(c_3392,plain,
( ~ product(a,multiplicative_inverse(a),X0)
| product(m,multiplicative_identity,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3386,c_256,c_49]) ).
cnf(c_3577,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(m,multiplicative_identity,multiplicative_identity) ),
inference(superposition,[status(thm)],[c_729,c_3392]) ).
cnf(c_3578,plain,
product(m,multiplicative_identity,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_3577,c_256,c_49]) ).
cnf(c_3581,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3578,c_1451,c_660,c_659,c_53,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD033-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n006.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 : Thu May 2 22:30:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.77/1.24 % SZS status Started for theBenchmark.p
% 3.77/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.24
% 3.77/1.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.77/1.24
% 3.77/1.24 ------ iProver source info
% 3.77/1.24
% 3.77/1.24 git: date: 2024-05-02 19:28:25 +0000
% 3.77/1.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.77/1.24 git: non_committed_changes: false
% 3.77/1.24
% 3.77/1.24 ------ Parsing...successful
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.77/1.24
% 3.77/1.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.77/1.24 ------ Proving...
% 3.77/1.24 ------ Problem Properties
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24 clauses 31
% 3.77/1.24 conjectures 3
% 3.77/1.24 EPR 23
% 3.77/1.24 Horn 28
% 3.77/1.24 unary 8
% 3.77/1.24 binary 6
% 3.77/1.24 lits 82
% 3.77/1.24 lits eq 0
% 3.77/1.24 fd_pure 0
% 3.77/1.24 fd_pseudo 0
% 3.77/1.24 fd_cond 0
% 3.77/1.24 fd_pseudo_cond 0
% 3.77/1.24 AC symbols 0
% 3.77/1.24
% 3.77/1.24 ------ Schedule dynamic 5 is on
% 3.77/1.24
% 3.77/1.24 ------ no equalities: superposition off
% 3.77/1.24
% 3.77/1.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24 ------
% 3.77/1.24 Current options:
% 3.77/1.24 ------
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24 ------ Proving...
% 3.77/1.24
% 3.77/1.24
% 3.77/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.24
% 3.77/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.24
% 3.77/1.24
%------------------------------------------------------------------------------