TSTP Solution File: NUM009-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 11:28:17 EDT 2023
% Result : Unsatisfiable 3.86s 1.16s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 4 unt; 2 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).
cnf(c_53,plain,
( ~ little_set(X0)
| member(empty_set,f44(X0))
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers4) ).
cnf(c_55,plain,
( ~ member(X0,f44(X0))
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers6) ).
cnf(c_128,plain,
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(c_188,plain,
member(empty_set,infinity),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',infinity2) ).
cnf(c_7501,plain,
little_set(empty_set),
inference(superposition,[status(thm)],[c_188,c_128]) ).
cnf(c_8153,plain,
( ~ little_set(empty_set)
| member(empty_set,f44(empty_set))
| member(empty_set,natural_numbers) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_8155,plain,
( ~ member(empty_set,f44(empty_set))
| member(empty_set,natural_numbers) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_8159,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8153,c_8155,c_7501,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.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 : Fri Aug 25 16:21:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.86/1.16 % SZS status Started for theBenchmark.p
% 3.86/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.16
% 3.86/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.86/1.16
% 3.86/1.16 ------ iProver source info
% 3.86/1.16
% 3.86/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.86/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.86/1.16 git: non_committed_changes: false
% 3.86/1.16 git: last_make_outside_of_git: false
% 3.86/1.16
% 3.86/1.16 ------ Parsing...successful
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 ------ Preprocessing... sup_sim: 21 pe_s pe:1:0s pe_e
% 3.86/1.16
% 3.86/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e
% 3.86/1.16
% 3.86/1.16 ------ Preprocessing...
% 3.86/1.16 ------ Proving...
% 3.86/1.16 ------ Problem Properties
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 clauses 258
% 3.86/1.16 conjectures 1
% 3.86/1.16 EPR 43
% 3.86/1.16 Horn 199
% 3.86/1.16 unary 16
% 3.86/1.16 binary 156
% 3.86/1.16 lits 692
% 3.86/1.16 lits eq 59
% 3.86/1.16 fd_pure 0
% 3.86/1.16 fd_pseudo 0
% 3.86/1.16 fd_cond 7
% 3.86/1.16 fd_pseudo_cond 8
% 3.86/1.16 AC symbols 0
% 3.86/1.16
% 3.86/1.16 ------ Input Options Time Limit: Unbounded
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 ------
% 3.86/1.16 Current options:
% 3.86/1.16 ------
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 ------ Proving...
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.16
% 3.86/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.16
% 3.86/1.16
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