%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM472+2 : TPTP v9.2.1. Released v4.0.0.
% 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 : n002.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 04:57:27 PM UTC 2026
% Result : Theorem 0.31s 1.63s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 8 ~; 5 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1379,hypothesis,
( aNaturalNumber0(xq)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(m__1324,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(c_0_3,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X148] :
( ( ~ aNaturalNumber0(X148)
| sdtpldt0(xm,X148) != sdtpldt0(xm,xn) )
& ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xm,X1) != sdtpldt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(split_conjunct,[status(thm)],[m__1379]) ).
cnf(c_0_7,negated_conjecture,
( sdtpldt0(xm,X1) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM472+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.17/0.34 % Computer : n002.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 00:37:16 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 0.31/1.63 % Version : CSE_E---1.7
% 0.31/1.63 % Problem : theBenchmark.p
% 0.31/1.63 % SZS status Theorem for theBenchmark.p
% 0.31/1.63 % SZS output start CNFRefutation
% See solution above
% 0.31/1.63 % Total time : 1.275s
%------------------------------------------------------------------------------