TSTP Solution File: FLD010-5 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD010-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 22:32:50 EDT 2023
% Result : Unsatisfiable 3.28s 1.17s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 5 unt; 4 nHn; 23 RR)
% Number of literals : 60 ( 0 equ; 35 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).
cnf(c_50,negated_conjecture,
~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
cnf(c_53,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_58,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_59,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_60,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_61,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_64,plain,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_67,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(c_68,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_78,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_245,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity)
| defined(multiplicative_inverse(multiplicative_identity)) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_246,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_261,plain,
( ~ product(X0,X1,multiplicative_inverse(multiplicative_identity))
| ~ sum(X2,X0,X3)
| ~ product(X2,X1,additive_identity)
| ~ product(X3,X1,multiplicative_identity)
| sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_266,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_267,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_266]) ).
cnf(c_536,plain,
( ~ product(X0,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ sum(additive_identity,X0,X1)
| ~ product(X1,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_2692,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_2851,plain,
( ~ sum(additive_identity,X0,multiplicative_inverse(multiplicative_identity))
| ~ product(X0,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_6512,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_6849,plain,
( ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))
| product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_inverse(multiplicative_identity)) ),
inference(instantiation,[status(thm)],[c_266]) ).
cnf(c_15338,plain,
( ~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))
| ~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_2851]) ).
cnf(c_15339,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15338,c_6849,c_6512,c_2692,c_267,c_246,c_245,c_78,c_50,c_49,c_64,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD010-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.16/0.35 % Computer : n019.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun Aug 27 23:36:58 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.28/1.17 % SZS status Started for theBenchmark.p
% 3.28/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.17
% 3.28/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.28/1.17
% 3.28/1.17 ------ iProver source info
% 3.28/1.17
% 3.28/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.28/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.28/1.17 git: non_committed_changes: false
% 3.28/1.17 git: last_make_outside_of_git: false
% 3.28/1.17
% 3.28/1.17 ------ Parsing...successful
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.28/1.17
% 3.28/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.28/1.17 ------ Proving...
% 3.28/1.17 ------ Problem Properties
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17 clauses 28
% 3.28/1.17 conjectures 2
% 3.28/1.17 EPR 19
% 3.28/1.17 Horn 25
% 3.28/1.17 unary 5
% 3.28/1.17 binary 6
% 3.28/1.17 lits 79
% 3.28/1.17 lits eq 0
% 3.28/1.17 fd_pure 0
% 3.28/1.17 fd_pseudo 0
% 3.28/1.17 fd_cond 0
% 3.28/1.17 fd_pseudo_cond 0
% 3.28/1.17 AC symbols 0
% 3.28/1.17
% 3.28/1.17 ------ Schedule dynamic 5 is on
% 3.28/1.17
% 3.28/1.17 ------ no equalities: superposition off
% 3.28/1.17
% 3.28/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17 ------
% 3.28/1.17 Current options:
% 3.28/1.17 ------
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17 ------ Proving...
% 3.28/1.17
% 3.28/1.17
% 3.28/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.17
% 3.28/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.17
% 3.28/1.17
%------------------------------------------------------------------------------