TSTP Solution File: FLD059-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 22:33:17 EDT 2023
% Result : Unsatisfiable 3.51s 1.18s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 50 ( 10 unt; 4 nHn; 50 RR)
% Number of literals : 127 ( 0 equ; 75 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
cnf(c_51,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(c_52,negated_conjecture,
equalish(add(a,a),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_u_4) ).
cnf(c_53,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).
cnf(c_55,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(c_64,plain,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(c_69,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
cnf(c_70,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(c_71,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
cnf(c_72,plain,
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_75,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_76,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(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(c_79,plain,
( ~ less_or_equal(X0,X1)
| ~ equalish(X0,X2)
| less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(c_255,plain,
( ~ defined(u)
| ~ defined(additive_identity)
| less_or_equal(u,additive_identity)
| less_or_equal(additive_identity,u) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_261,plain,
( ~ defined(X0)
| ~ defined(u)
| less_or_equal(X0,u)
| less_or_equal(u,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_263,plain,
( ~ equalish(X0,X1)
| ~ less_or_equal(X0,u)
| less_or_equal(X1,u) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_281,plain,
( ~ defined(u)
| less_or_equal(u,u) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_289,plain,
( ~ equalish(u,X0)
| ~ less_or_equal(u,u)
| less_or_equal(X0,u) ),
inference(instantiation,[status(thm)],[c_263]) ).
cnf(c_290,plain,
( ~ less_or_equal(u,u)
| ~ equalish(u,additive_identity)
| less_or_equal(additive_identity,u) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_405,plain,
equalish(u,add(a,a)),
inference(superposition,[status(thm)],[c_52,c_75]) ).
cnf(c_446,plain,
( ~ less_or_equal(a,additive_identity)
| equalish(additive_identity,a) ),
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_463,plain,
( ~ equalish(X0,X1)
| ~ defined(X0)
| equalish(add(additive_identity,X0),X1) ),
inference(superposition,[status(thm)],[c_55,c_76]) ).
cnf(c_469,plain,
( ~ equalish(add(a,a),X0)
| equalish(u,X0) ),
inference(superposition,[status(thm)],[c_405,c_76]) ).
cnf(c_473,plain,
( ~ equalish(add(a,a),additive_identity)
| equalish(u,additive_identity) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_664,plain,
equalish(u,add(a,a)),
inference(resolution,[status(thm)],[c_75,c_52]) ).
cnf(c_1449,plain,
( ~ less_or_equal(u,X0)
| less_or_equal(add(a,a),X0) ),
inference(resolution,[status(thm)],[c_79,c_664]) ).
cnf(c_2094,plain,
( ~ less_or_equal(X0,add(a,a))
| ~ less_or_equal(u,X1)
| less_or_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_1449,c_70]) ).
cnf(c_2388,plain,
( ~ equalish(add(a,a),X0)
| ~ equalish(X0,X1)
| equalish(add(a,a),X1) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_2416,plain,
( ~ less_or_equal(X0,additive_identity)
| ~ equalish(X0,a)
| less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_2426,plain,
( ~ equalish(a,X0)
| ~ defined(a)
| equalish(add(a,a),add(X0,a)) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_2427,plain,
( ~ equalish(a,additive_identity)
| ~ defined(a)
| equalish(add(a,a),add(additive_identity,a)) ),
inference(instantiation,[status(thm)],[c_2426]) ).
cnf(c_2570,plain,
( ~ equalish(add(a,a),add(X0,a))
| ~ equalish(add(X0,a),X1)
| equalish(add(a,a),X1) ),
inference(instantiation,[status(thm)],[c_2388]) ).
cnf(c_2571,plain,
( ~ equalish(add(a,a),add(additive_identity,a))
| ~ equalish(add(additive_identity,a),additive_identity)
| equalish(add(a,a),additive_identity) ),
inference(instantiation,[status(thm)],[c_2570]) ).
cnf(c_2573,plain,
( ~ defined(X0)
| ~ defined(a)
| less_or_equal(X0,a)
| less_or_equal(a,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_2579,plain,
( ~ less_or_equal(X0,a)
| ~ less_or_equal(a,X0)
| equalish(X0,a) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_2702,plain,
( ~ less_or_equal(add(additive_identity,a),additive_identity)
| ~ equalish(add(additive_identity,a),a)
| less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_2416]) ).
cnf(c_2789,plain,
( ~ less_or_equal(X0,a)
| ~ less_or_equal(a,X0)
| equalish(a,X0) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_2794,plain,
( ~ less_or_equal(a,additive_identity)
| ~ less_or_equal(additive_identity,a)
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_2789]) ).
cnf(c_3371,plain,
( ~ equalish(X0,a)
| ~ defined(X0)
| equalish(add(additive_identity,X0),a) ),
inference(instantiation,[status(thm)],[c_463]) ).
cnf(c_3674,plain,
( ~ defined(a)
| less_or_equal(a,a) ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_3695,plain,
( ~ less_or_equal(a,a)
| equalish(a,a) ),
inference(instantiation,[status(thm)],[c_2579]) ).
cnf(c_4461,plain,
( ~ equalish(a,X0)
| ~ defined(a)
| equalish(add(additive_identity,a),X0) ),
inference(instantiation,[status(thm)],[c_463]) ).
cnf(c_4462,plain,
( ~ equalish(a,additive_identity)
| ~ defined(a)
| equalish(add(additive_identity,a),additive_identity) ),
inference(instantiation,[status(thm)],[c_4461]) ).
cnf(c_4633,plain,
~ less_or_equal(a,additive_identity),
inference(global_subsumption_just,[status(thm)],[c_446,c_50,c_49,c_51,c_53,c_281,c_290,c_473,c_2427,c_2571,c_2794,c_4462]) ).
cnf(c_5944,plain,
( ~ less_or_equal(X0,a)
| ~ less_or_equal(u,X1)
| ~ defined(a)
| less_or_equal(add(X0,a),X1) ),
inference(resolution,[status(thm)],[c_2094,c_72]) ).
cnf(c_5945,plain,
( ~ less_or_equal(u,additive_identity)
| ~ less_or_equal(additive_identity,a)
| ~ defined(a)
| less_or_equal(add(additive_identity,a),additive_identity) ),
inference(instantiation,[status(thm)],[c_5944]) ).
cnf(c_7586,plain,
( ~ equalish(a,a)
| ~ defined(a)
| equalish(add(additive_identity,a),a) ),
inference(instantiation,[status(thm)],[c_3371]) ).
cnf(c_7587,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7586,c_5945,c_4633,c_3695,c_3674,c_2702,c_255,c_53,c_51,c_49,c_50,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 23:30:54 EDT 2023
% 0.14/0.36 % 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
% 3.51/1.18 % SZS status Started for theBenchmark.p
% 3.51/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.18
% 3.51/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.51/1.18
% 3.51/1.18 ------ iProver source info
% 3.51/1.18
% 3.51/1.18 git: date: 2023-05-31 18:12:56 +0000
% 3.51/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.51/1.18 git: non_committed_changes: false
% 3.51/1.18 git: last_make_outside_of_git: false
% 3.51/1.18
% 3.51/1.18 ------ Parsing...successful
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.51/1.18
% 3.51/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.51/1.18 ------ Proving...
% 3.51/1.18 ------ Problem Properties
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18 clauses 32
% 3.51/1.18 conjectures 3
% 3.51/1.18 EPR 14
% 3.51/1.18 Horn 29
% 3.51/1.18 unary 8
% 3.51/1.18 binary 6
% 3.51/1.18 lits 78
% 3.51/1.18 lits eq 0
% 3.51/1.18 fd_pure 0
% 3.51/1.18 fd_pseudo 0
% 3.51/1.18 fd_cond 0
% 3.51/1.18 fd_pseudo_cond 0
% 3.51/1.18 AC symbols 0
% 3.51/1.18
% 3.51/1.18 ------ Input Options Time Limit: Unbounded
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18 ------
% 3.51/1.18 Current options:
% 3.51/1.18 ------
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18 ------ Proving...
% 3.51/1.18
% 3.51/1.18
% 3.51/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.18
% 3.51/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/1.18
% 3.51/1.18
%------------------------------------------------------------------------------