%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV047+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 05:20:42 PM UTC 2026
% Result : Theorem 0.35s 1.63s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 19 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 15 ( 3 ~; 0 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0013,conjecture,
( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0013) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_2,negated_conjecture,
~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0013]) ).
fof(c_0_3,negated_conjecture,
( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1))
& ~ true ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
~ true,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV047+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n001.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 04:55:18 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.35/1.63 % Version : CSE_E---1.7
% 0.35/1.63 % Problem : theBenchmark.p
% 0.35/1.63 % SZS status Theorem for theBenchmark.p
% 0.35/1.63 % SZS output start CNFRefutation
% See solution above
% 0.35/1.63 % Total time : 1.272s
%------------------------------------------------------------------------------