%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG106+2 : 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 : n021.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 05:05:22 PM UTC 2026
% Result : Theorem 1.64s 1.84s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 363 ( 93 equ)
% Maximal formula atoms : 258 ( 15 avg)
% Number of connectives : 568 ( 228 ~; 231 |; 93 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 59 ( 4 sgn 26 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,negated_conjecture,
! [X207,X208,X209,X210,X211,X216,X218,X219] :
( ( aElement0(esk21_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk21_3(X207,X208,X209)) = X207
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk22_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk22_3(X207,X208,X209)) = X208
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtpldt0(X207,X208) = sdtasdt0(xc,sdtpldt0(esk21_3(X207,X208,X209),esk22_3(X207,X208,X209)))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(X209,X207) = sdtasdt0(xc,sdtasdt0(esk21_3(X207,X208,X209),X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk23_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk23_3(X207,X208,X209)) = sdtpldt0(X207,X208)
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElementOf0(sdtpldt0(X207,X208),slsdtgt0(xc))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk24_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk24_3(X207,X208,X209)) = sdtasdt0(X209,X207)
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElementOf0(sdtasdt0(X209,X207),slsdtgt0(xc))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk21_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk21_3(X207,X208,X209)) = X207
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk22_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk22_3(X207,X208,X209)) = X208
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtpldt0(X207,X208) = sdtasdt0(xc,sdtpldt0(esk21_3(X207,X208,X209),esk22_3(X207,X208,X209)))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(X209,X207) = sdtasdt0(xc,sdtasdt0(esk21_3(X207,X208,X209),X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk23_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk23_3(X207,X208,X209)) = sdtpldt0(X207,X208)
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElementOf0(sdtpldt0(X207,X208),slsdtgt0(xc))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk24_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk24_3(X207,X208,X209)) = sdtasdt0(X209,X207)
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElementOf0(sdtasdt0(X209,X207),slsdtgt0(xc))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElement0(X210)
| sdtasdt0(xc,X210) != X207
| ~ aElement0(X209) )
& ( aElement0(esk21_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk21_3(X207,X208,X209)) = X207
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk22_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk22_3(X207,X208,X209)) = X208
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtpldt0(X207,X208) = sdtasdt0(xc,sdtpldt0(esk21_3(X207,X208,X209),esk22_3(X207,X208,X209)))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(X209,X207) = sdtasdt0(xc,sdtasdt0(esk21_3(X207,X208,X209),X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk23_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk23_3(X207,X208,X209)) = sdtpldt0(X207,X208)
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElementOf0(sdtpldt0(X207,X208),slsdtgt0(xc))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk24_3(X207,X208,X209))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk24_3(X207,X208,X209)) = sdtasdt0(X209,X207)
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElementOf0(sdtasdt0(X209,X207),slsdtgt0(xc))
| ~ aElement0(X211)
| sdtasdt0(xc,X211) != X208
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk21_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk21_3(X207,X208,X209)) = X207
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk22_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk22_3(X207,X208,X209)) = X208
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtpldt0(X207,X208) = sdtasdt0(xc,sdtpldt0(esk21_3(X207,X208,X209),esk22_3(X207,X208,X209)))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(X209,X207) = sdtasdt0(xc,sdtasdt0(esk21_3(X207,X208,X209),X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk23_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk23_3(X207,X208,X209)) = sdtpldt0(X207,X208)
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElementOf0(sdtpldt0(X207,X208),slsdtgt0(xc))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElement0(esk24_3(X207,X208,X209))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( sdtasdt0(xc,esk24_3(X207,X208,X209)) = sdtasdt0(X209,X207)
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& ( aElementOf0(sdtasdt0(X209,X207),slsdtgt0(xc))
| ~ aElementOf0(X208,slsdtgt0(xc))
| ~ aElementOf0(X207,slsdtgt0(xc))
| ~ aElement0(X209) )
& aSet0(slsdtgt0(xc))
& ( aElement0(esk25_1(X216))
| ~ aElementOf0(X216,slsdtgt0(xc)) )
& ( sdtasdt0(xc,esk25_1(X216)) = X216
| ~ aElementOf0(X216,slsdtgt0(xc)) )
& ( ~ aElement0(X219)
| sdtasdt0(xc,X219) != X218
| aElementOf0(X218,slsdtgt0(xc)) )
& aElementOf0(esk26_0,slsdtgt0(xc))
& ( aElement0(esk28_0)
| aElementOf0(esk27_0,slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| aElementOf0(esk27_0,slsdtgt0(xc)) )
& ( aElement0(esk28_0)
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
fof(c_0_4,plain,
! [X129,X130] :
( ~ aSet0(X129)
| ~ aElementOf0(X130,X129)
| aElement0(X130) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_5,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElement0(X3)
| sdtasdt0(xc,X3) != X4
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
aElementOf0(esk26_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( aElement0(esk28_0)
| aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
aElement0(esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk27_0,slsdtgt0(xc)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7])]),c_0_10]) ).
cnf(c_0_19,negated_conjecture,
( aElement0(esk28_0)
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_7])]) ).
cnf(c_0_21,negated_conjecture,
aElement0(esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18]),c_0_7])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_7]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG106+2 : 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
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:52:10 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.64/1.84 % Version : CSE_E---1.7
% 1.64/1.84 % Problem : theBenchmark.p
% 1.64/1.84 % SZS status Theorem for theBenchmark.p
% 1.64/1.84 % SZS output start CNFRefutation
% See solution above
% 1.64/1.84 % Total time : 1.378s
%------------------------------------------------------------------------------