TSTP Solution File: FLD037-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 22:33:05 EDT 2023
% Result : Unsatisfiable 2.39s 1.18s
% Output : CNFRefutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 6 unt; 4 nHn; 17 RR)
% Number of literals : 37 ( 0 equ; 18 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_51,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
cnf(c_52,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_4) ).
cnf(c_53,negated_conjecture,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity_not_equal_to_multiply_5) ).
cnf(c_60,plain,
( ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(c_68,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(c_75,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_76,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_78,plain,
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(multiply(X0,X2),multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(c_255,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_256,plain,
( ~ defined(a)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_258,plain,
( ~ equalish(multiply(b,multiplicative_inverse(a)),multiplicative_identity)
| equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_272,plain,
( ~ equalish(multiply(b,multiplicative_inverse(a)),X0)
| ~ equalish(X0,multiplicative_identity)
| equalish(multiply(b,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_371,plain,
( ~ equalish(multiply(b,multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(multiply(b,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_272]) ).
cnf(c_474,plain,
( ~ defined(multiplicative_inverse(a))
| ~ equalish(b,a)
| equalish(multiply(b,multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_528,plain,
equalish(b,a),
inference(superposition,[status(thm)],[c_52,c_75]) ).
cnf(c_535,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_528,c_474,c_371,c_258,c_256,c_255,c_53,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.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 : Sun Aug 27 23:16:04 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.39/1.18 % SZS status Started for theBenchmark.p
% 2.39/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.39/1.18
% 2.39/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.39/1.18
% 2.39/1.18 ------ iProver source info
% 2.39/1.18
% 2.39/1.18 git: date: 2023-05-31 18:12:56 +0000
% 2.39/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.39/1.18 git: non_committed_changes: false
% 2.39/1.18 git: last_make_outside_of_git: false
% 2.39/1.18
% 2.39/1.18 ------ Parsing...successful
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.39/1.18
% 2.39/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.39/1.18 ------ Proving...
% 2.39/1.18 ------ Problem Properties
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18 clauses 32
% 2.39/1.18 conjectures 3
% 2.39/1.18 EPR 14
% 2.39/1.18 Horn 29
% 2.39/1.18 unary 8
% 2.39/1.18 binary 6
% 2.39/1.18 lits 78
% 2.39/1.18 lits eq 0
% 2.39/1.18 fd_pure 0
% 2.39/1.18 fd_pseudo 0
% 2.39/1.18 fd_cond 0
% 2.39/1.18 fd_pseudo_cond 0
% 2.39/1.18 AC symbols 0
% 2.39/1.18
% 2.39/1.18 ------ Schedule dynamic 5 is on
% 2.39/1.18
% 2.39/1.18 ------ no equalities: superposition off
% 2.39/1.18
% 2.39/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18 ------
% 2.39/1.18 Current options:
% 2.39/1.18 ------
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18 ------ Proving...
% 2.39/1.18
% 2.39/1.18
% 2.39/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.39/1.18
% 2.39/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.39/1.18
% 2.39/1.18
%------------------------------------------------------------------------------