TSTP Solution File: FLD019-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD019-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:15:10 EDT 2024
% Result : Unsatisfiable 103.38s 14.72s
% Output : CNFRefutation 103.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 9 unt; 0 nHn; 26 RR)
% Number of literals : 48 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,negated_conjecture,
equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_equals_additive_identity_2) ).
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_53,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(c_54,plain,
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
cnf(c_55,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X0,X1),add(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
cnf(c_63,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_73,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_74,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_75,plain,
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(c_249,plain,
( ~ equalish(additive_identity,a)
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_267,plain,
( ~ equalish(X0,a)
| ~ equalish(additive_identity,X0)
| equalish(additive_identity,a) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_293,plain,
( ~ equalish(add(additive_identity,a),a)
| ~ equalish(additive_identity,add(additive_identity,a))
| equalish(additive_identity,a) ),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_294,plain,
( ~ defined(a)
| equalish(add(additive_identity,a),a) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_534,plain,
defined(additive_inverse(a)),
inference(resolution,[status(thm)],[c_63,c_49]) ).
cnf(c_659,plain,
equalish(add(a,additive_inverse(a)),additive_identity),
inference(resolution,[status(thm)],[c_54,c_49]) ).
cnf(c_835,plain,
( ~ defined(X0)
| equalish(add(a,X0),add(X0,a)) ),
inference(resolution,[status(thm)],[c_55,c_49]) ).
cnf(c_937,plain,
( ~ equalish(X0,X1)
| equalish(add(X0,a),add(X1,a)) ),
inference(resolution,[status(thm)],[c_75,c_49]) ).
cnf(c_3223,plain,
equalish(additive_identity,add(a,additive_inverse(a))),
inference(resolution,[status(thm)],[c_659,c_73]) ).
cnf(c_4602,plain,
equalish(add(a,additive_inverse(a)),add(additive_inverse(a),a)),
inference(resolution,[status(thm)],[c_835,c_534]) ).
cnf(c_5130,plain,
equalish(add(additive_inverse(a),a),add(additive_identity,a)),
inference(resolution,[status(thm)],[c_937,c_50]) ).
cnf(c_92687,plain,
( ~ equalish(X0,add(a,additive_inverse(a)))
| equalish(X0,add(additive_inverse(a),a)) ),
inference(resolution,[status(thm)],[c_4602,c_74]) ).
cnf(c_92688,plain,
( ~ equalish(additive_identity,add(a,additive_inverse(a)))
| equalish(additive_identity,add(additive_inverse(a),a)) ),
inference(instantiation,[status(thm)],[c_92687]) ).
cnf(c_100358,plain,
( ~ equalish(X0,add(additive_inverse(a),a))
| equalish(X0,add(additive_identity,a)) ),
inference(resolution,[status(thm)],[c_5130,c_74]) ).
cnf(c_100359,plain,
( ~ equalish(additive_identity,add(additive_inverse(a),a))
| equalish(additive_identity,add(additive_identity,a)) ),
inference(instantiation,[status(thm)],[c_100358]) ).
cnf(c_100360,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_100359,c_92688,c_3223,c_294,c_293,c_249,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD019-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:26:55 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 103.38/14.72 % SZS status Started for theBenchmark.p
% 103.38/14.72 % SZS status Unsatisfiable for theBenchmark.p
% 103.38/14.72
% 103.38/14.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 103.38/14.72
% 103.38/14.72 ------ iProver source info
% 103.38/14.72
% 103.38/14.72 git: date: 2024-05-02 19:28:25 +0000
% 103.38/14.72 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 103.38/14.72 git: non_committed_changes: false
% 103.38/14.72
% 103.38/14.72 ------ Parsing...successful
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 103.38/14.72
% 103.38/14.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 103.38/14.72 ------ Proving...
% 103.38/14.72 ------ Problem Properties
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72 clauses 30
% 103.38/14.72 conjectures 2
% 103.38/14.72 EPR 12
% 103.38/14.72 Horn 27
% 103.38/14.72 unary 6
% 103.38/14.72 binary 6
% 103.38/14.72 lits 76
% 103.38/14.72 lits eq 0
% 103.38/14.72 fd_pure 0
% 103.38/14.72 fd_pseudo 0
% 103.38/14.72 fd_cond 0
% 103.38/14.72 fd_pseudo_cond 0
% 103.38/14.72 AC symbols 0
% 103.38/14.72
% 103.38/14.72 ------ Input Options Time Limit: Unbounded
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72 ------
% 103.38/14.72 Current options:
% 103.38/14.72 ------
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72 ------ Proving...
% 103.38/14.72
% 103.38/14.72
% 103.38/14.72 % SZS status Unsatisfiable for theBenchmark.p
% 103.38/14.72
% 103.38/14.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 103.38/14.72
% 103.38/14.72
%------------------------------------------------------------------------------