%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG106+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:05:52 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 386 ( 92 equ)
% Maximal formula atoms : 258 ( 16 avg)
% Number of connectives : 598 ( 235 ~; 243 |; 102 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 56 ( 2 sgn 31 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( aElement0(X3)
& ( aElementOf0(X2,slsdtgt0(xc))
| ? [X4] :
( sdtasdt0(xc,X4) = X2
& aElement0(X4) ) )
& ( aElementOf0(X1,slsdtgt0(xc))
| ? [X4] :
( sdtasdt0(xc,X4) = X1
& aElement0(X4) ) ) )
=> ? [X4] :
( ? [X5] :
( aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc))
& ? [X6] :
( sdtasdt0(xc,X6) = sdtasdt0(X3,X1)
& aElement0(X6) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( sdtasdt0(xc,X6) = sdtpldt0(X1,X2)
& aElement0(X6) )
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(xc,X5) = X2
& aElement0(X5) )
& sdtasdt0(xc,X4) = X1
& aElement0(X4) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( sdtasdt0(xc,X2) = X1
& aElement0(X2) ) )
& aSet0(slsdtgt0(xc)) )
=> ( aIdeal0(slsdtgt0(xc))
| ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) )
& ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) ) ) )
& aSet0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(c_0_3,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( aElement0(X3)
& ( aElementOf0(X2,slsdtgt0(xc))
| ? [X4] :
( sdtasdt0(xc,X4) = X2
& aElement0(X4) ) )
& ( aElementOf0(X1,slsdtgt0(xc))
| ? [X4] :
( sdtasdt0(xc,X4) = X1
& aElement0(X4) ) ) )
=> ? [X4] :
( ? [X5] :
( aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc))
& ? [X6] :
( sdtasdt0(xc,X6) = sdtasdt0(X3,X1)
& aElement0(X6) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( sdtasdt0(xc,X6) = sdtpldt0(X1,X2)
& aElement0(X6) )
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(xc,X5) = X2
& aElement0(X5) )
& sdtasdt0(xc,X4) = X1
& aElement0(X4) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( sdtasdt0(xc,X2) = X1
& aElement0(X2) ) )
& aSet0(slsdtgt0(xc)) )
=> ( aIdeal0(slsdtgt0(xc))
| ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X115,X116,X117,X118,X119,X124,X126,X127] :
( ~ aIdeal0(slsdtgt0(xc))
& ( ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtpldt0(esk26_0,esk27_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(esk26_0,slsdtgt0(xc))
& ( aElementOf0(X126,slsdtgt0(xc))
| sdtasdt0(xc,X127) != X126
| ~ aElement0(X127) )
& ( ~ aElementOf0(X124,slsdtgt0(xc))
| sdtasdt0(xc,esk25_1(X124)) = X124 )
& ( ~ aElementOf0(X124,slsdtgt0(xc))
| aElement0(esk25_1(X124)) )
& aSet0(slsdtgt0(xc))
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X117,X115),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk24_3(X115,X116,X117)) = sdtasdt0(X117,X115) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk24_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X115,X116),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk23_3(X115,X116,X117)) = sdtpldt0(X115,X116) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk23_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(X117,X115) = sdtasdt0(xc,sdtasdt0(esk21_3(X115,X116,X117),X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtpldt0(X115,X116) = sdtasdt0(xc,sdtpldt0(esk21_3(X115,X116,X117),esk22_3(X115,X116,X117))) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk22_3(X115,X116,X117)) = X116 )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk22_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk21_3(X115,X116,X117)) = X115 )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk21_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElementOf0(sdtasdt0(X117,X115),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk24_3(X115,X116,X117)) = sdtasdt0(X117,X115) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk24_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElementOf0(sdtpldt0(X115,X116),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk23_3(X115,X116,X117)) = sdtpldt0(X115,X116) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk23_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(X117,X115) = sdtasdt0(xc,sdtasdt0(esk21_3(X115,X116,X117),X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtpldt0(X115,X116) = sdtasdt0(xc,sdtpldt0(esk21_3(X115,X116,X117),esk22_3(X115,X116,X117))) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk22_3(X115,X116,X117)) = X116 )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk22_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk21_3(X115,X116,X117)) = X115 )
& ( ~ aElement0(X117)
| ~ aElementOf0(X115,slsdtgt0(xc))
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk21_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X117,X115),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk24_3(X115,X116,X117)) = sdtasdt0(X117,X115) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk24_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X115,X116),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk23_3(X115,X116,X117)) = sdtpldt0(X115,X116) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk23_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(X117,X115) = sdtasdt0(xc,sdtasdt0(esk21_3(X115,X116,X117),X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtpldt0(X115,X116) = sdtasdt0(xc,sdtpldt0(esk21_3(X115,X116,X117),esk22_3(X115,X116,X117))) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk22_3(X115,X116,X117)) = X116 )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk22_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| sdtasdt0(xc,esk21_3(X115,X116,X117)) = X115 )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| ~ aElementOf0(X116,slsdtgt0(xc))
| aElement0(esk21_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElementOf0(sdtasdt0(X117,X115),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk24_3(X115,X116,X117)) = sdtasdt0(X117,X115) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk24_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElementOf0(sdtpldt0(X115,X116),slsdtgt0(xc)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk23_3(X115,X116,X117)) = sdtpldt0(X115,X116) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk23_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(X117,X115) = sdtasdt0(xc,sdtasdt0(esk21_3(X115,X116,X117),X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtpldt0(X115,X116) = sdtasdt0(xc,sdtpldt0(esk21_3(X115,X116,X117),esk22_3(X115,X116,X117))) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk22_3(X115,X116,X117)) = X116 )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk22_3(X115,X116,X117)) )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| sdtasdt0(xc,esk21_3(X115,X116,X117)) = X115 )
& ( ~ aElement0(X117)
| sdtasdt0(xc,X118) != X115
| ~ aElement0(X118)
| sdtasdt0(xc,X119) != X116
| ~ aElement0(X119)
| aElement0(esk21_3(X115,X116,X117)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_3])])])])])])]) ).
fof(c_0_5,plain,
! [X62,X63,X64,X65,X66] :
( ( aIdeal0(X66)
| ~ aSet0(X66)
| ~ aElementOf0(sdtpldt0(esk9_1(X66),esk10_1(X66)),X66)
| ~ aElementOf0(sdtasdt0(esk11_1(X66),esk9_1(X66)),X66) )
& ( aIdeal0(X66)
| ~ aSet0(X66)
| ~ aElementOf0(sdtpldt0(esk9_1(X66),esk10_1(X66)),X66)
| aElement0(esk11_1(X66)) )
& ( aIdeal0(X66)
| ~ aSet0(X66)
| aElementOf0(esk10_1(X66),X66)
| ~ aElementOf0(sdtasdt0(esk11_1(X66),esk9_1(X66)),X66) )
& ( aIdeal0(X66)
| ~ aSet0(X66)
| aElementOf0(esk10_1(X66),X66)
| aElement0(esk11_1(X66)) )
& ( aIdeal0(X66)
| ~ aSet0(X66)
| aElementOf0(esk9_1(X66),X66) )
& ( ~ aIdeal0(X62)
| ~ aElementOf0(X63,X62)
| aElementOf0(sdtasdt0(X65,X63),X62)
| ~ aElement0(X65) )
& ( ~ aIdeal0(X62)
| ~ aElementOf0(X63,X62)
| aElementOf0(sdtpldt0(X63,X64),X62)
| ~ aElementOf0(X64,X62) )
& ( ~ aIdeal0(X62)
| aSet0(X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefIdeal])])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ aSet0(X1)
| aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ aElement0(X3)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__1905]) ).
cnf(c_0_12,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),c_0_9]) ).
cnf(c_0_14,negated_conjecture,
aElementOf0(esk26_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| aElement0(esk28_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,hypothesis,
( ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
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_12,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))
| aElement0(esk28_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
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_14])]) ).
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_14])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14])]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG106+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 04:22:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Version: 3.5.1
% 0.18/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 % Starting sh5l with 300s (1) cores
% 0.18/0.48 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 956442 completed with status 0
% 0.18/0.48 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.48 % No SInE strategy applied
% 0.18/0.48 % Search class: FGHSF-FSLM32-MFFFFFNN
% 0.18/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.48 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.18/0.48 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.18/0.48 % G-E--_302_C18_F1_URBAN_S0Y with pid 956449 completed with status 0
% 0.18/0.48 % Result found by G-E--_302_C18_F1_URBAN_S0Y
% 0.18/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.48 % No SInE strategy applied
% 0.18/0.48 % Search class: FGHSF-FSLM32-MFFFFFNN
% 0.18/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.48 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.18/0.48 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.18/0.48 % Preprocessing time : 0.005 s
% 0.18/0.48
% 0.18/0.48 % Proof found!
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
% 0.18/0.48 % Parsed axioms : 39
% 0.18/0.48 % Removed by relevancy pruning/SinE : 0
% 0.18/0.48 % Initial clauses : 151
% 0.18/0.48 % Removed in clause preprocessing : 4
% 0.18/0.48 % Initial clauses in saturation : 147
% 0.18/0.48 % Processed clauses : 271
% 0.18/0.48 % ...of these trivial : 7
% 0.18/0.48 % ...subsumed : 33
% 0.18/0.48 % ...remaining for further processing : 230
% 0.18/0.48 % Other redundant clauses eliminated : 199
% 0.18/0.48 % Clauses deleted for lack of memory : 0
% 0.18/0.48 % Backward-subsumed : 30
% 0.18/0.48 % Backward-rewritten : 7
% 0.18/0.48 % Generated clauses : 1611
% 0.18/0.48 % ...of the previous two non-redundant : 1330
% 0.18/0.48 % ...aggressively subsumed : 0
% 0.18/0.48 % Contextual simplify-reflections : 10
% 0.18/0.48 % Paramodulations : 1365
% 0.18/0.48 % Factorizations : 0
% 0.18/0.48 % NegExts : 0
% 0.18/0.48 % Equation resolutions : 246
% 0.18/0.48 % Disequality decompositions : 0
% 0.18/0.48 % Total rewrite steps : 767
% 0.18/0.48 % ...of those cached : 752
% 0.18/0.48 % Propositional unsat checks : 0
% 0.18/0.48 % Propositional check models : 0
% 0.18/0.48 % Propositional check unsatisfiable : 0
% 0.18/0.48 % Propositional clauses : 0
% 0.18/0.48 % Propositional clauses after purity: 0
% 0.18/0.48 % Propositional unsat core size : 0
% 0.18/0.48 % Propositional preprocessing time : 0.000
% 0.18/0.48 % Propositional encoding time : 0.000
% 0.18/0.48 % Propositional solver time : 0.000
% 0.18/0.48 % Success case prop preproc time : 0.000
% 0.18/0.48 % Success case prop encoding time : 0.000
% 0.18/0.48 % Success case prop solver time : 0.000
% 0.18/0.48 % Current number of processed clauses : 193
% 0.18/0.48 % Positive orientable unit clauses : 15
% 0.18/0.48 % Positive unorientable unit clauses: 0
% 0.18/0.48 % Negative unit clauses : 7
% 0.18/0.48 % Non-unit-clauses : 171
% 0.18/0.48 % Current number of unprocessed clauses: 1162
% 0.18/0.48 % ...number of literals in the above : 6405
% 0.18/0.48 % Current number of archived formulas : 0
% 0.18/0.48 % Current number of archived clauses : 37
% 0.18/0.48 % Clause-clause subsumption calls (NU) : 7057
% 0.18/0.48 % Rec. Clause-clause subsumption calls : 2064
% 0.18/0.48 % Non-unit clause-clause subsumptions : 50
% 0.18/0.48 % Unit Clause-clause subsumption calls : 602
% 0.18/0.48 % Rewrite failures with RHS unbound : 0
% 0.18/0.48 % BW rewrite match attempts : 6
% 0.18/0.48 % BW rewrite match successes : 6
% 0.18/0.48 % Condensation attempts : 0
% 0.18/0.48 % Condensation successes : 0
% 0.18/0.48 % Termbank termtop insertions : 34554
% 0.18/0.48 % Search garbage collected termcells : 2414
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.039 s
% 0.18/0.48 % System time : 0.004 s
% 0.18/0.48 % Total time : 0.043 s
% 0.18/0.48 % Maximum resident set size: 3948 pages
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.175 s
% 0.18/0.48 % System time : 0.025 s
% 0.18/0.48 % Total time : 0.200 s
% 0.18/0.48 % Maximum resident set size: 4608 pages
% 0.18/0.48 % E exiting
%------------------------------------------------------------------------------