%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM009-1 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 : Tue May 5 04:52:42 PM UTC 2026
% Result : Unsatisfiable 1.60s 1.80s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 9 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 : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(natural_numbers6,axiom,
( member(X1,natural_numbers)
| ~ member(X1,f44(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers6) ).
cnf(natural_numbers4,axiom,
( member(X1,natural_numbers)
| member(empty_set,f44(X1))
| ~ little_set(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers4) ).
cnf(prove_zero_is_a_natural,negated_conjecture,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).
cnf(a2,axiom,
( little_set(X1)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(infinity2,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',infinity2) ).
cnf(c_0_5,axiom,
( member(X1,natural_numbers)
| ~ member(X1,f44(X1)) ),
natural_numbers6 ).
cnf(c_0_6,axiom,
( member(X1,natural_numbers)
| member(empty_set,f44(X1))
| ~ little_set(X1) ),
natural_numbers4 ).
cnf(c_0_7,negated_conjecture,
~ member(empty_set,natural_numbers),
prove_zero_is_a_natural ).
cnf(c_0_8,axiom,
( little_set(X1)
| ~ member(X1,X2) ),
a2 ).
cnf(c_0_9,axiom,
member(empty_set,infinity),
infinity2 ).
cnf(c_0_10,plain,
~ little_set(empty_set),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM009-1 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:05:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.60/1.80 % Version : CSE_E---1.7
% 1.60/1.80 % Problem : theBenchmark.p
% 1.60/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.80 % SZS output start CNFRefutation
% See solution above
% 1.60/1.80 % Total time : 1.373s
%------------------------------------------------------------------------------