%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV023+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n011.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 05:20:38 PM UTC 2026
% Result : Theorem 0.37s 1.63s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 37 ( 12 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 39 ( 9 ~; 6 |; 16 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0005,conjecture,
( ( i0_init = init
& sigma_init = init
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0005) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_2,negated_conjecture,
~ ( ( i0_init = init
& sigma_init = init
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init ) )
=> true ),
inference(assume_negation,[status(cth)],[gauss_init_0005]) ).
fof(c_0_3,negated_conjecture,
! [X357,X358,X359] :
( i0_init = init
& sigma_init = init
& ( ~ leq(n0,X357)
| ~ leq(X357,n2)
| ~ leq(n0,X358)
| ~ leq(X358,n3)
| a_select3(simplex7_init,X358,X357) = init )
& ( ~ leq(n0,X359)
| ~ leq(X359,n3)
| a_select2(s_values7_init,X359) = init )
& ~ true ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_4,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]) ).
cnf(c_0_5,negated_conjecture,
~ true,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
$false,
inference(sr,[status(thm)],[c_0_4,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV023+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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
% 0.16/0.32 % Computer : n011.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:53:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.37/1.63 % Version : CSE_E---1.7
% 0.37/1.63 % Problem : theBenchmark.p
% 0.37/1.63 % SZS status Theorem for theBenchmark.p
% 0.37/1.63 % SZS output start CNFRefutation
% See solution above
% 0.37/1.63 % Total time : 1.274s
%------------------------------------------------------------------------------