TSTP Solution File: FLD061-4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD061-4 : 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 : Fri May 3 02:15:26 EDT 2024
% Result : Unsatisfiable 7.87s 1.66s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 11 unt; 0 nHn; 36 RR)
% Number of literals : 84 ( 0 equ; 54 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,plain,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_55,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_7) ).
cnf(c_56,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_8) ).
cnf(c_57,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).
cnf(c_58,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_10) ).
cnf(c_59,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_11) ).
cnf(c_64,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_78,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(c_81,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(c_83,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_272,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X0,X2)
| ~ less_or_equal(a,b)
| less_or_equal(X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_277,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X0,X2)
| ~ less_or_equal(a,b)
| less_or_equal(X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_278,plain,
( ~ sum(b,X0,X2)
| ~ sum(a,X0,X1)
| less_or_equal(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_277,c_55,c_272]) ).
cnf(c_279,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X0,X2)
| less_or_equal(X1,X2) ),
inference(renaming,[status(thm)],[c_278]) ).
cnf(c_288,plain,
( ~ sum(c,X0,X1)
| ~ sum(d,X0,X2)
| ~ less_or_equal(c,d)
| less_or_equal(X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_290,plain,
( ~ sum(d,X0,X2)
| ~ sum(c,X0,X1)
| less_or_equal(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_288,c_56,c_288]) ).
cnf(c_291,plain,
( ~ sum(c,X0,X1)
| ~ sum(d,X0,X2)
| less_or_equal(X1,X2) ),
inference(renaming,[status(thm)],[c_290]) ).
cnf(c_335,plain,
( ~ sum(c,b,X0)
| ~ sum(d,b,v)
| less_or_equal(X0,v) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_426,plain,
( ~ less_or_equal(X0,v)
| ~ less_or_equal(u,X0)
| less_or_equal(u,v) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_428,plain,
( ~ less_or_equal(u,X0)
| ~ less_or_equal(X0,v) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_59,c_426]) ).
cnf(c_429,plain,
( ~ less_or_equal(X0,v)
| ~ less_or_equal(u,X0) ),
inference(renaming,[status(thm)],[c_428]) ).
cnf(c_615,plain,
( ~ sum(b,c,X0)
| sum(c,b,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_766,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X0,X2)
| ~ less_or_equal(a,b)
| less_or_equal(X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_767,plain,
( ~ sum(b,X0,X2)
| ~ sum(a,X0,X1)
| less_or_equal(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_766,c_279]) ).
cnf(c_768,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X0,X2)
| less_or_equal(X1,X2) ),
inference(renaming,[status(thm)],[c_767]) ).
cnf(c_894,plain,
( ~ sum(b,X0,X1)
| ~ sum(a,X0,u)
| less_or_equal(u,X1) ),
inference(instantiation,[status(thm)],[c_768]) ).
cnf(c_1123,plain,
( ~ sum(b,c,X0)
| ~ sum(a,c,u)
| less_or_equal(u,X0) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_1125,plain,
~ sum(b,c,X0),
inference(global_subsumption_just,[status(thm)],[c_1123,c_58,c_57,c_335,c_429,c_615,c_1123]) ).
cnf(c_3793,plain,
( ~ sum(b,c,X0)
| sum(c,b,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_3794,plain,
~ sum(b,c,X0),
inference(global_subsumption_just,[status(thm)],[c_3793,c_1125]) ).
cnf(c_6893,plain,
( ~ defined(X0)
| ~ defined(b)
| sum(b,X0,add(b,X0)) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_6923,plain,
( ~ defined(X0)
| sum(b,X0,add(b,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6893,c_50,c_6893]) ).
cnf(c_7379,plain,
( ~ defined(c)
| sum(b,c,add(b,c)) ),
inference(instantiation,[status(thm)],[c_6923]) ).
cnf(c_12751,plain,
~ sum(b,c,add(b,c)),
inference(instantiation,[status(thm)],[c_3794]) ).
cnf(c_12752,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12751,c_7379,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : FLD061-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:31:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.87/1.66 % SZS status Started for theBenchmark.p
% 7.87/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.66
% 7.87/1.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.87/1.66
% 7.87/1.66 ------ iProver source info
% 7.87/1.66
% 7.87/1.66 git: date: 2024-05-02 19:28:25 +0000
% 7.87/1.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.87/1.66 git: non_committed_changes: false
% 7.87/1.66
% 7.87/1.66 ------ Parsing...successful
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.87/1.66
% 7.87/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.87/1.66 ------ Proving...
% 7.87/1.66 ------ Problem Properties
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66 clauses 37
% 7.87/1.66 conjectures 5
% 7.87/1.66 EPR 29
% 7.87/1.66 Horn 34
% 7.87/1.66 unary 14
% 7.87/1.66 binary 6
% 7.87/1.66 lits 88
% 7.87/1.66 lits eq 0
% 7.87/1.66 fd_pure 0
% 7.87/1.66 fd_pseudo 0
% 7.87/1.66 fd_cond 0
% 7.87/1.66 fd_pseudo_cond 0
% 7.87/1.66 AC symbols 0
% 7.87/1.66
% 7.87/1.66 ------ Input Options Time Limit: Unbounded
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66 ------
% 7.87/1.66 Current options:
% 7.87/1.66 ------
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66 ------ Proving...
% 7.87/1.66
% 7.87/1.66
% 7.87/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.66
% 7.87/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.66
% 7.87/1.66
%------------------------------------------------------------------------------