TSTP Solution File: FLD058-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD058-3 : 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 02:15:24 EDT 2024
% Result : Unsatisfiable 3.25s 1.17s
% Output : CNFRefutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 9 unt; 1 nHn; 28 RR)
% Number of literals : 64 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(c_52,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(c_53,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
cnf(c_54,negated_conjecture,
sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(c_56,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
cnf(c_57,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_59,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_68,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_75,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| sum(additive_identity,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(c_76,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(c_77,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(c_78,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_83,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_87,plain,
( ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_257,negated_conjecture,
sum(additive_identity,b,additive_identity),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_265,plain,
( ~ less_or_equal(a,additive_identity)
| ~ less_or_equal(additive_identity,a)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_298,plain,
( ~ less_or_equal(X0,additive_identity)
| ~ less_or_equal(a,X0)
| less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_452,plain,
( ~ less_or_equal(a,b)
| ~ less_or_equal(b,additive_identity)
| less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_298]) ).
cnf(c_553,plain,
sum(b,additive_identity,additive_identity),
inference(superposition,[status(thm)],[c_257,c_59]) ).
cnf(c_554,plain,
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_57,c_59]) ).
cnf(c_2496,plain,
( ~ sum(b,X0,X1)
| ~ sum(additive_identity,X2,X0)
| sum(additive_identity,X2,X1) ),
inference(superposition,[status(thm)],[c_553,c_56]) ).
cnf(c_2732,plain,
( ~ sum(X0,X1,b)
| ~ sum(X2,X1,additive_identity)
| ~ less_or_equal(X0,X2)
| less_or_equal(b,additive_identity) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_2733,plain,
( ~ sum(additive_identity,additive_identity,b)
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(b,additive_identity) ),
inference(instantiation,[status(thm)],[c_2732]) ).
cnf(c_6377,plain,
( ~ sum(additive_identity,X0,additive_identity)
| ~ defined(b)
| sum(additive_identity,X0,b) ),
inference(superposition,[status(thm)],[c_554,c_2496]) ).
cnf(c_6379,plain,
( ~ sum(additive_identity,X0,additive_identity)
| sum(additive_identity,X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6377,c_50]) ).
cnf(c_6389,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,additive_identity,b) ),
inference(instantiation,[status(thm)],[c_6379]) ).
cnf(c_6390,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6389,c_2733,c_452,c_265,c_87,c_83,c_53,c_51,c_52,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD058-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:25:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 3.25/1.17 % SZS status Started for theBenchmark.p
% 3.25/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/1.17
% 3.25/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.25/1.17
% 3.25/1.17 ------ iProver source info
% 3.25/1.17
% 3.25/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.25/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.25/1.17 git: non_committed_changes: false
% 3.25/1.17
% 3.25/1.17 ------ Parsing...successful
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.25/1.17
% 3.25/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.25/1.17 ------ Proving...
% 3.25/1.17 ------ Problem Properties
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17 clauses 32
% 3.25/1.17 conjectures 4
% 3.25/1.17 EPR 24
% 3.25/1.17 Horn 29
% 3.25/1.17 unary 9
% 3.25/1.17 binary 6
% 3.25/1.17 lits 83
% 3.25/1.17 lits eq 0
% 3.25/1.17 fd_pure 0
% 3.25/1.17 fd_pseudo 0
% 3.25/1.17 fd_cond 0
% 3.25/1.17 fd_pseudo_cond 0
% 3.25/1.17 AC symbols 0
% 3.25/1.17
% 3.25/1.17 ------ Schedule dynamic 5 is on
% 3.25/1.17
% 3.25/1.17 ------ no equalities: superposition off
% 3.25/1.17
% 3.25/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17 ------
% 3.25/1.17 Current options:
% 3.25/1.17 ------
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17 ------ Proving...
% 3.25/1.17
% 3.25/1.17
% 3.25/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/1.17
% 3.25/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.25/1.17
% 3.25/1.17
%------------------------------------------------------------------------------