%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM602+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : 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 04:57:59 PM UTC 2026
% Result : Theorem 2.83s 2.46s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 49 ( 19 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 54 ( 19 ~; 17 |; 17 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 4 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xe,X1) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4982,hypothesis,
! [X1] :
( ( ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 )
| aElementOf0(X1,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(m__5009,hypothesis,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = xx )
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xe,X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
! [X480,X481] :
( ( aElementOf0(esk39_1(X480),szNzAzT0)
| ~ aElementOf0(X481,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X481) != X480 )
& ( sdtlpdtrp0(xd,esk39_1(X480)) = szDzizrdt0(xd)
| ~ aElementOf0(X481,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X481) != X480 )
& ( aElementOf0(esk39_1(X480),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X481,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X481) != X480 )
& ( sdtlpdtrp0(xe,esk39_1(X480)) = X480
| ~ aElementOf0(X481,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X481) != X480 )
& ( aElementOf0(esk39_1(X480),szNzAzT0)
| ~ aElementOf0(X480,xO) )
& ( sdtlpdtrp0(xd,esk39_1(X480)) = szDzizrdt0(xd)
| ~ aElementOf0(X480,xO) )
& ( aElementOf0(esk39_1(X480),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X480,xO) )
& ( sdtlpdtrp0(xe,esk39_1(X480)) = X480
| ~ aElementOf0(X480,xO) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])])]) ).
fof(c_0_5,hypothesis,
( aElementOf0(esk40_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,esk40_0) = xx
& aElementOf0(xx,xO) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5009])]) ).
fof(c_0_6,negated_conjecture,
! [X484] :
( ~ aElementOf0(X484,szNzAzT0)
| sdtlpdtrp0(xe,X484) != xx ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_7,hypothesis,
( sdtlpdtrp0(xe,esk39_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
aElementOf0(xx,xO),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( aElementOf0(esk39_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xe,X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
sdtlpdtrp0(xe,esk39_1(xx)) = xx,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,hypothesis,
aElementOf0(esk39_1(xx),szNzAzT0),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM602+3 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.15/0.32 % Computer : n002.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:50:16 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 2.83/2.46 % Version : CSE_E---1.7
% 2.83/2.46 % Problem : theBenchmark.p
% 2.83/2.46 % SZS status Theorem for theBenchmark.p
% 2.83/2.46 % SZS output start CNFRefutation
% See solution above
% 2.83/2.47 % Total time : 1.826s
%------------------------------------------------------------------------------