TSTP Solution File: FLD001-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 22:32:46 EDT 2023
% Result : Unsatisfiable 3.48s 1.15s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 5 unt; 0 nHn; 20 RR)
% Number of literals : 50 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_51,plain,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
cnf(c_52,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).
cnf(c_55,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_60,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_62,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_64,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
cnf(c_66,plain,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_255,plain,
( ~ product(a,multiplicative_identity,b)
| product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_299,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_315,plain,
( ~ product(X0,a,X1)
| product(a,X0,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_317,plain,
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X5,X4,X1)
| ~ sum(X3,X5,a)
| product(a,X4,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_440,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_621,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_60,c_62]) ).
cnf(c_622,plain,
( ~ defined(additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_621]) ).
cnf(c_1002,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1426,plain,
( ~ sum(X0,a,X1)
| ~ product(X2,multiplicative_identity,X0)
| ~ sum(X2,a,a)
| ~ product(a,multiplicative_identity,a)
| product(a,multiplicative_identity,X1) ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_2640,plain,
( ~ product(X0,multiplicative_identity,X1)
| ~ sum(X0,a,a)
| ~ sum(X1,a,b)
| ~ product(a,multiplicative_identity,a)
| product(a,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_1426]) ).
cnf(c_2641,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(additive_identity,a,b)
| ~ product(a,multiplicative_identity,a)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(a,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_2640]) ).
cnf(c_2642,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2641,c_1002,c_622,c_440,c_299,c_255,c_52,c_51,c_49,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 23:47:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.48/1.15 % SZS status Started for theBenchmark.p
% 3.48/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.48/1.15
% 3.48/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.48/1.15
% 3.48/1.15 ------ iProver source info
% 3.48/1.15
% 3.48/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.48/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.48/1.15 git: non_committed_changes: false
% 3.48/1.15 git: last_make_outside_of_git: false
% 3.48/1.15
% 3.48/1.15 ------ Parsing...successful
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.48/1.15
% 3.48/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.48/1.15 ------ Proving...
% 3.48/1.15 ------ Problem Properties
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15 clauses 30
% 3.48/1.15 conjectures 1
% 3.48/1.15 EPR 22
% 3.48/1.15 Horn 27
% 3.48/1.15 unary 7
% 3.48/1.15 binary 6
% 3.48/1.15 lits 81
% 3.48/1.15 lits eq 0
% 3.48/1.15 fd_pure 0
% 3.48/1.15 fd_pseudo 0
% 3.48/1.15 fd_cond 0
% 3.48/1.15 fd_pseudo_cond 0
% 3.48/1.15 AC symbols 0
% 3.48/1.15
% 3.48/1.15 ------ Input Options Time Limit: Unbounded
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15 ------
% 3.48/1.15 Current options:
% 3.48/1.15 ------
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15 ------ Proving...
% 3.48/1.15
% 3.48/1.15
% 3.48/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.48/1.15
% 3.48/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.48/1.15
% 3.48/1.15
%------------------------------------------------------------------------------