TSTP Solution File: FLD007-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 22:32:48 EDT 2023
% Result : Unsatisfiable 2.34s 1.18s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 3 unt; 0 nHn; 16 RR)
% Number of literals : 37 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).
cnf(c_51,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c_53,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_54,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(c_55,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_65,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_245,plain,
( ~ sum(additive_inverse(additive_inverse(a)),additive_identity,a)
| sum(additive_identity,additive_inverse(additive_inverse(a)),a) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_270,plain,
( ~ sum(additive_inverse(additive_inverse(a)),X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,a)
| sum(additive_inverse(additive_inverse(a)),additive_identity,a) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_283,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_468,plain,
( ~ sum(additive_inverse(additive_inverse(a)),X0,additive_identity)
| ~ sum(X0,a,additive_identity)
| ~ sum(additive_identity,a,a)
| sum(additive_inverse(additive_inverse(a)),additive_identity,a) ),
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_2076,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_2236,plain,
( ~ sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(additive_identity,a,a)
| sum(additive_inverse(additive_inverse(a)),additive_identity,a) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_2237,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_12909,plain,
( ~ defined(additive_inverse(a))
| sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_12910,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12909,c_2237,c_2236,c_2076,c_283,c_245,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.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 : Mon Aug 28 00:04:02 EDT 2023
% 0.13/0.35 % 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
% 2.34/1.18 % SZS status Started for theBenchmark.p
% 2.34/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.34/1.18
% 2.34/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.34/1.18
% 2.34/1.18 ------ iProver source info
% 2.34/1.18
% 2.34/1.18 git: date: 2023-05-31 18:12:56 +0000
% 2.34/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.34/1.18 git: non_committed_changes: false
% 2.34/1.18 git: last_make_outside_of_git: false
% 2.34/1.18
% 2.34/1.18 ------ Parsing...successful
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.34/1.18
% 2.34/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.34/1.18 ------ Proving...
% 2.34/1.18 ------ Problem Properties
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18 clauses 28
% 2.34/1.18 conjectures 1
% 2.34/1.18 EPR 19
% 2.34/1.18 Horn 25
% 2.34/1.18 unary 5
% 2.34/1.18 binary 6
% 2.34/1.18 lits 79
% 2.34/1.18 lits eq 0
% 2.34/1.18 fd_pure 0
% 2.34/1.18 fd_pseudo 0
% 2.34/1.18 fd_cond 0
% 2.34/1.18 fd_pseudo_cond 0
% 2.34/1.18 AC symbols 0
% 2.34/1.18
% 2.34/1.18 ------ Schedule dynamic 5 is on
% 2.34/1.18
% 2.34/1.18 ------ no equalities: superposition off
% 2.34/1.18
% 2.34/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18 ------
% 2.34/1.18 Current options:
% 2.34/1.18 ------
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18 ------ Proving...
% 2.34/1.18
% 2.34/1.18
% 2.34/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.34/1.18
% 2.34/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.34/1.18
% 2.34/1.18
%------------------------------------------------------------------------------