TSTP Solution File: FLD031-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 22:33:02 EDT 2023
% Result : Unsatisfiable 3.74s 1.16s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 24 ( 5 unt; 4 nHn; 24 RR)
% Number of literals : 55 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,negated_conjecture,
equalish(a,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_multiplicative_identity_2) ).
cnf(c_51,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
cnf(c_52,negated_conjecture,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverses_not_equal) ).
cnf(c_58,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(c_59,plain,
( ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(c_67,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(c_74,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_75,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_77,plain,
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(multiply(X0,X2),multiply(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(c_252,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_253,plain,
( ~ defined(a)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_261,plain,
( ~ equalish(multiplicative_inverse(a),X0)
| ~ equalish(X0,multiplicative_identity)
| equalish(multiplicative_inverse(a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_294,plain,
( ~ equalish(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(multiplicative_inverse(a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_348,plain,
( ~ equalish(a,X0)
| equalish(X0,a) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_365,plain,
( ~ equalish(X0,multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiplicative_inverse(a),X0)
| equalish(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_437,plain,
( ~ equalish(a,multiplicative_identity)
| equalish(multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_485,plain,
( ~ equalish(X0,a)
| ~ defined(multiplicative_inverse(a))
| equalish(multiply(X0,multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_715,plain,
( ~ equalish(X0,multiplicative_inverse(a))
| equalish(multiplicative_inverse(a),X0) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_1412,plain,
( ~ defined(multiplicative_inverse(a))
| ~ equalish(multiplicative_identity,a)
| equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_485]) ).
cnf(c_1855,plain,
( ~ defined(multiplicative_inverse(a))
| equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_2597,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiplicative_inverse(a),multiply(multiplicative_identity,multiplicative_inverse(a)))
| equalish(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_365]) ).
cnf(c_6401,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiplicative_inverse(a))
| equalish(multiplicative_inverse(a),multiply(multiplicative_identity,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_715]) ).
cnf(c_6402,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6401,c_2597,c_1855,c_1412,c_437,c_294,c_253,c_252,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 00:23:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.74/1.16 % SZS status Started for theBenchmark.p
% 3.74/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.16
% 3.74/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.74/1.16
% 3.74/1.16 ------ iProver source info
% 3.74/1.16
% 3.74/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.74/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.74/1.16 git: non_committed_changes: false
% 3.74/1.16 git: last_make_outside_of_git: false
% 3.74/1.16
% 3.74/1.16 ------ Parsing...successful
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.16 ------ Proving...
% 3.74/1.16 ------ Problem Properties
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 clauses 31
% 3.74/1.16 conjectures 3
% 3.74/1.16 EPR 13
% 3.74/1.16 Horn 28
% 3.74/1.16 unary 7
% 3.74/1.16 binary 6
% 3.74/1.16 lits 77
% 3.74/1.16 lits eq 0
% 3.74/1.16 fd_pure 0
% 3.74/1.16 fd_pseudo 0
% 3.74/1.16 fd_cond 0
% 3.74/1.16 fd_pseudo_cond 0
% 3.74/1.16 AC symbols 0
% 3.74/1.16
% 3.74/1.16 ------ Schedule dynamic 5 is on
% 3.74/1.16
% 3.74/1.16 ------ no equalities: superposition off
% 3.74/1.16
% 3.74/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------
% 3.74/1.16 Current options:
% 3.74/1.16 ------
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------ Proving...
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.16
% 3.74/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.16
% 3.74/1.16
%------------------------------------------------------------------------------