TSTP Solution File: FLD038-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD038-3 : 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 : Wed Aug 30 22:33:06 EDT 2023
% Result : Unsatisfiable 2.86s 1.15s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 8 unt; 2 nHn; 28 RR)
% Number of literals : 68 ( 0 equ; 40 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(c_52,negated_conjecture,
product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
cnf(c_53,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(c_61,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_62,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_259,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_271,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X2,X3) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_275,plain,
( ~ product(X0,X1,X2)
| ~ product(multiplicative_identity,X0,X3)
| ~ product(multiplicative_identity,X2,X2)
| product(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_373,plain,
( ~ product(multiplicative_identity,b,b)
| product(b,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_259]) ).
cnf(c_412,plain,
( ~ product(X0,X1,a)
| ~ product(X0,X1,b)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_431,plain,
( ~ product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0)
| ~ product(multiplicative_identity,X0,X1)
| product(X1,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_275]) ).
cnf(c_669,plain,
( ~ product(a,multiplicative_identity,a)
| ~ product(a,multiplicative_identity,b)
| ~ product(multiplicative_identity,a,a)
| product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[c_412]) ).
cnf(c_670,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_259]) ).
cnf(c_941,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_986,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_2791,plain,
( ~ product(multiplicative_inverse(a),X0,X1)
| ~ product(multiplicative_identity,X0,X2)
| product(b,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_59]) ).
cnf(c_3275,plain,
( ~ product(multiplicative_identity,a,X0)
| ~ defined(a)
| product(b,multiplicative_identity,X0)
| sum(additive_identity,a,additive_identity) ),
inference(superposition,[status(thm)],[c_62,c_2791]) ).
cnf(c_3286,plain,
( ~ product(multiplicative_identity,a,X0)
| product(b,multiplicative_identity,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3275,c_51,c_49]) ).
cnf(c_3548,plain,
( ~ defined(a)
| product(b,multiplicative_identity,a) ),
inference(superposition,[status(thm)],[c_61,c_3286]) ).
cnf(c_3551,plain,
product(b,multiplicative_identity,a),
inference(forward_subsumption_resolution,[status(thm)],[c_3548,c_49]) ).
cnf(c_3718,plain,
product(multiplicative_identity,b,a),
inference(superposition,[status(thm)],[c_3551,c_63]) ).
cnf(c_5381,plain,
( ~ product(b,multiplicative_identity,b)
| ~ product(multiplicative_identity,b,a)
| ~ product(multiplicative_identity,b,b)
| product(a,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_431]) ).
cnf(c_5382,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5381,c_3718,c_986,c_941,c_670,c_669,c_373,c_53,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD038-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.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 : Mon Aug 28 00:17:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.86/1.15 % SZS status Started for theBenchmark.p
% 2.86/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.15
% 2.86/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.86/1.15
% 2.86/1.15 ------ iProver source info
% 2.86/1.15
% 2.86/1.15 git: date: 2023-05-31 18:12:56 +0000
% 2.86/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.86/1.15 git: non_committed_changes: false
% 2.86/1.15 git: last_make_outside_of_git: false
% 2.86/1.15
% 2.86/1.15 ------ Parsing...successful
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.86/1.15
% 2.86/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.86/1.15 ------ Proving...
% 2.86/1.15 ------ Problem Properties
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15 clauses 31
% 2.86/1.15 conjectures 3
% 2.86/1.15 EPR 22
% 2.86/1.15 Horn 28
% 2.86/1.15 unary 8
% 2.86/1.15 binary 6
% 2.86/1.15 lits 82
% 2.86/1.15 lits eq 0
% 2.86/1.15 fd_pure 0
% 2.86/1.15 fd_pseudo 0
% 2.86/1.15 fd_cond 0
% 2.86/1.15 fd_pseudo_cond 0
% 2.86/1.15 AC symbols 0
% 2.86/1.15
% 2.86/1.15 ------ Schedule dynamic 5 is on
% 2.86/1.15
% 2.86/1.15 ------ no equalities: superposition off
% 2.86/1.15
% 2.86/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15 ------
% 2.86/1.15 Current options:
% 2.86/1.15 ------
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15 ------ Proving...
% 2.86/1.15
% 2.86/1.15
% 2.86/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.15
% 2.86/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.15
% 2.86/1.15
%------------------------------------------------------------------------------