TSTP Solution File: NUM016-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM016-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 : Thu Aug 31 11:28:19 EDT 2023
% Result : Unsatisfiable 1.50s 1.18s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 5 unt; 7 nHn; 13 RR)
% Number of literals : 34 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nothing_is_less_than_itself) ).
cnf(c_50,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numbers_are_different) ).
cnf(c_51,plain,
less(X0,factorial_plus_one(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_prime_is_less_than_the_next_one) ).
cnf(c_52,plain,
( ~ divides(X0,factorial_plus_one(X1))
| less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_is_smaller) ).
cnf(c_53,plain,
( divides(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',division_by_prime_divisor) ).
cnf(c_54,plain,
( prime(prime_divisor(X0))
| prime(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prime_divsiors) ).
cnf(c_55,plain,
( less(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',smaller_prime_divisors) ).
cnf(c_56,negated_conjecture,
( ~ less(a,X0)
| ~ prime(X0)
| less(factorial_plus_one(a),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_another_prime) ).
cnf(c_57,plain,
less(a,factorial_plus_one(a)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_93,plain,
( less(X0,prime_divisor(factorial_plus_one(X0)))
| prime(factorial_plus_one(X0)) ),
inference(resolution,[status(thm)],[c_52,c_53]) ).
cnf(c_94,plain,
( less(a,prime_divisor(factorial_plus_one(a)))
| prime(factorial_plus_one(a)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_130,plain,
( ~ less(a,factorial_plus_one(a))
| ~ prime(factorial_plus_one(a))
| less(factorial_plus_one(a),factorial_plus_one(a)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_132,plain,
( ~ less(a,prime_divisor(factorial_plus_one(a)))
| ~ prime(prime_divisor(factorial_plus_one(a)))
| less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_139,plain,
~ less(factorial_plus_one(a),factorial_plus_one(a)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_143,plain,
( ~ less(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a))
| ~ less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_144,plain,
( less(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a))
| prime(factorial_plus_one(a)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_145,plain,
( prime(prime_divisor(factorial_plus_one(a)))
| prime(factorial_plus_one(a)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_146,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_144,c_145,c_143,c_139,c_132,c_130,c_94,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM016-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 13:07:18 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.50/1.18 % SZS status Started for theBenchmark.p
% 1.50/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.18
% 1.50/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.50/1.18
% 1.50/1.18 ------ iProver source info
% 1.50/1.18
% 1.50/1.18 git: date: 2023-05-31 18:12:56 +0000
% 1.50/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.50/1.18 git: non_committed_changes: false
% 1.50/1.18 git: last_make_outside_of_git: false
% 1.50/1.18
% 1.50/1.18 ------ Parsing...successful
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.50/1.18
% 1.50/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.50/1.18 ------ Proving...
% 1.50/1.18 ------ Problem Properties
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 clauses 7
% 1.50/1.18 conjectures 1
% 1.50/1.18 EPR 2
% 1.50/1.18 Horn 4
% 1.50/1.18 unary 2
% 1.50/1.18 binary 4
% 1.50/1.18 lits 13
% 1.50/1.18 lits eq 0
% 1.50/1.18 fd_pure 0
% 1.50/1.18 fd_pseudo 0
% 1.50/1.18 fd_cond 0
% 1.50/1.18 fd_pseudo_cond 0
% 1.50/1.18 AC symbols 0
% 1.50/1.18
% 1.50/1.18 ------ Schedule dynamic 5 is on
% 1.50/1.18
% 1.50/1.18 ------ no equalities: superposition off
% 1.50/1.18
% 1.50/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 ------
% 1.50/1.18 Current options:
% 1.50/1.18 ------
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 ------ Proving...
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.18
% 1.50/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 1.50/1.18
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