TSTP Solution File: NUM016-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 02:48:06 EDT 2024
% Result : Unsatisfiable 2.03s 1.22s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
~ less(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_is_less_than_itself) ).
cnf(c_50,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',numbers_are_different) ).
cnf(c_54,plain,
less(X0,factorial_plus_one(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_prime_is_less_than_the_next_one) ).
cnf(c_55,plain,
( ~ divides(X0,factorial_plus_one(X1))
| less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_is_smaller) ).
cnf(c_56,plain,
( divides(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',division_by_prime_divisor) ).
cnf(c_57,plain,
( prime(prime_divisor(X0))
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_divsiors) ).
cnf(c_58,plain,
( less(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',smaller_prime_divisors) ).
cnf(c_60,negated_conjecture,
( ~ less(a,X0)
| ~ prime(X0)
| less(factorial_plus_one(a),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_another_prime) ).
cnf(c_109,plain,
factorial_plus_one(a) = sP0_iProver_def,
definition ).
cnf(c_110,negated_conjecture,
( ~ less(a,X0)
| ~ prime(X0)
| less(sP0_iProver_def,X0) ),
inference(demodulation,[status(thm)],[c_60,c_109]) ).
cnf(c_286,plain,
( ~ prime(factorial_plus_one(a))
| less(sP0_iProver_def,factorial_plus_one(a)) ),
inference(superposition,[status(thm)],[c_54,c_110]) ).
cnf(c_287,plain,
( ~ prime(sP0_iProver_def)
| less(sP0_iProver_def,sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_286,c_109]) ).
cnf(c_288,plain,
~ prime(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_287,c_49]) ).
cnf(c_308,plain,
( ~ less(X0,prime_divisor(X0))
| prime(X0) ),
inference(superposition,[status(thm)],[c_58,c_50]) ).
cnf(c_339,plain,
( ~ divides(X0,sP0_iProver_def)
| less(a,X0) ),
inference(superposition,[status(thm)],[c_109,c_55]) ).
cnf(c_351,plain,
( less(a,prime_divisor(sP0_iProver_def))
| prime(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_56,c_339]) ).
cnf(c_352,plain,
less(a,prime_divisor(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_351,c_288]) ).
cnf(c_355,plain,
( ~ prime(prime_divisor(sP0_iProver_def))
| less(sP0_iProver_def,prime_divisor(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_352,c_110]) ).
cnf(c_364,plain,
( ~ prime(prime_divisor(sP0_iProver_def))
| prime(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_355,c_308]) ).
cnf(c_365,plain,
~ prime(prime_divisor(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_364,c_288]) ).
cnf(c_366,plain,
prime(sP0_iProver_def),
inference(superposition,[status(thm)],[c_57,c_365]) ).
cnf(c_367,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_366,c_288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:42:43 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 2.03/1.22 % SZS status Started for theBenchmark.p
% 2.03/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.22
% 2.03/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.03/1.22
% 2.03/1.22 ------ iProver source info
% 2.03/1.22
% 2.03/1.22 git: date: 2024-05-02 19:28:25 +0000
% 2.03/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.03/1.22 git: non_committed_changes: false
% 2.03/1.22
% 2.03/1.22 ------ Parsing...successful
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.03/1.22
% 2.03/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.03/1.22
% 2.03/1.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.03/1.22 ------ Proving...
% 2.03/1.22 ------ Problem Properties
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22 clauses 13
% 2.03/1.22 conjectures 1
% 2.03/1.22 EPR 7
% 2.03/1.22 Horn 10
% 2.03/1.22 unary 5
% 2.03/1.22 binary 6
% 2.03/1.22 lits 23
% 2.03/1.22 lits eq 1
% 2.03/1.22 fd_pure 0
% 2.03/1.22 fd_pseudo 0
% 2.03/1.22 fd_cond 0
% 2.03/1.22 fd_pseudo_cond 0
% 2.03/1.22 AC symbols 0
% 2.03/1.22
% 2.03/1.22 ------ Schedule dynamic 5 is on
% 2.03/1.22
% 2.03/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22 ------
% 2.03/1.22 Current options:
% 2.03/1.22 ------
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22 ------ Proving...
% 2.03/1.22
% 2.03/1.22
% 2.03/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.22
% 2.03/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.22
% 2.03/1.22
%------------------------------------------------------------------------------