TSTP Solution File: FLD013-5 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 02:15:09 EDT 2024
% Result : Unsatisfiable 3.56s 1.14s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 11 unt; 0 nHn; 24 RR)
% Number of literals : 44 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_53,plain,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
cnf(c_55,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
cnf(c_56,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_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,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_11) ).
cnf(c_60,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c_62,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
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_73,plain,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
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_379,plain,
( ~ sum(X0,X1,v)
| ~ sum(X2,X1,u)
| ~ sum(additive_identity,X2,X0) ),
inference(resolution,[status(thm)],[c_60,c_59]) ).
cnf(c_390,plain,
( ~ sum(c,X0,u)
| ~ sum(d,X0,v) ),
inference(resolution,[status(thm)],[c_379,c_56]) ).
cnf(c_453,plain,
~ sum(c,b,u),
inference(resolution,[status(thm)],[c_390,c_58]) ).
cnf(c_464,plain,
( ~ sum(X0,X1,u)
| ~ sum(X2,X1,b)
| ~ sum(c,X2,X0) ),
inference(resolution,[status(thm)],[c_453,c_60]) ).
cnf(c_780,plain,
( ~ sum(c,X0,X1)
| ~ sum(u,X0,X2)
| sum(a,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
cnf(c_1160,plain,
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_62,c_64]) ).
cnf(c_1726,plain,
( ~ sum(c,additive_identity,X0)
| ~ defined(u)
| sum(a,X0,u) ),
inference(superposition,[status(thm)],[c_1160,c_780]) ).
cnf(c_2538,plain,
( ~ sum(X0,a,u)
| ~ sum(c,additive_identity,X0) ),
inference(resolution,[status(thm)],[c_464,c_55]) ).
cnf(c_2600,plain,
( ~ sum(a,X0,u)
| ~ sum(c,additive_identity,X0) ),
inference(resolution,[status(thm)],[c_2538,c_64]) ).
cnf(c_2602,plain,
~ sum(c,additive_identity,X0),
inference(global_subsumption_just,[status(thm)],[c_2600,c_53,c_1726,c_2600]) ).
cnf(c_2622,plain,
( ~ defined(c)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[c_2602,c_78]) ).
cnf(c_2623,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2622,c_51,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n014.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 22:27:02 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 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
% 3.56/1.14 % SZS status Started for theBenchmark.p
% 3.56/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.56/1.14
% 3.56/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.56/1.14
% 3.56/1.14 ------ iProver source info
% 3.56/1.14
% 3.56/1.14 git: date: 2024-05-02 19:28:25 +0000
% 3.56/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.56/1.14 git: non_committed_changes: false
% 3.56/1.14
% 3.56/1.14 ------ Parsing...successful
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.56/1.14
% 3.56/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.56/1.14 ------ Proving...
% 3.56/1.14 ------ Problem Properties
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 clauses 37
% 3.56/1.14 conjectures 5
% 3.56/1.14 EPR 29
% 3.56/1.14 Horn 34
% 3.56/1.14 unary 14
% 3.56/1.14 binary 6
% 3.56/1.14 lits 88
% 3.56/1.14 lits eq 0
% 3.56/1.14 fd_pure 0
% 3.56/1.14 fd_pseudo 0
% 3.56/1.14 fd_cond 0
% 3.56/1.14 fd_pseudo_cond 0
% 3.56/1.14 AC symbols 0
% 3.56/1.14
% 3.56/1.14 ------ Input Options Time Limit: Unbounded
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 ------
% 3.56/1.14 Current options:
% 3.56/1.14 ------
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 ------ Proving...
% 3.56/1.14
% 3.56/1.14
% 3.56/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.56/1.14
% 3.56/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.56/1.14
% 3.56/1.14
%------------------------------------------------------------------------------