%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG115+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 08:55:13 AM UTC 2026
% Result : Theorem 30.04s 30.59s
% Output : Proof 30.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 158 ( 54 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 211 ( 86 ~; 61 |; 63 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 82 ( 8 sgn 49 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
( ! [W0] :
( ( W0 != sz00
& ( aElementOf0(W0,xI)
| ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,slsdtgt0(xb))
& aElementOf0(W1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [W0,W1] :
( sdtpldt0(W0,W1) = xu
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) ) ),
file('theBenchmark.p',m__2273) ).
fof(m__,conjecture,
? [W0,W1] :
( xu = sdtpldt0(W0,W1)
& ( aElementOf0(W1,slsdtgt0(xb))
| ? [W2] :
( sdtasdt0(xb,W2) = W1
& aElement0(W2) ) )
& ( aElementOf0(W0,slsdtgt0(xa))
| ? [W2] :
( sdtasdt0(xa,W2) = W0
& aElement0(W2) ) ) ),
file('theBenchmark.p',m__) ).
fof(f_45_1,plain,
( ! [W0] :
( ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
| W0 = sz00
| ( ~ aElementOf0(W0,xI)
& ! [W1,W2] :
( sdtpldt0(W1,W2) != W0
| ~ aElementOf0(W2,slsdtgt0(xb))
| ~ aElementOf0(W1,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [W0,W1] :
( sdtpldt0(W0,W1) = xu
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) ) ),
inference(fof_nnf,[status(thm)],[m__2273]) ).
fof(f_45_2,plain,
( ! [U_172] :
( ~ iLess0(sbrdtbr0(U_172),sbrdtbr0(xu))
| U_172 = sz00
| ( ~ aElementOf0(U_172,xI)
& ! [U_171,U_170] :
( sdtpldt0(U_171,U_170) != U_172
| ~ aElementOf0(U_170,slsdtgt0(xb))
| ~ aElementOf0(U_171,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [U_169,U_168] :
( sdtpldt0(U_169,U_168) = xu
& aElementOf0(U_168,slsdtgt0(xb))
& aElementOf0(U_169,slsdtgt0(xa)) ) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( ! [U_172] :
( ~ iLess0(sbrdtbr0(U_172),sbrdtbr0(xu))
| U_172 = sz00
| ( ~ aElementOf0(U_172,xI)
& ! [U_171] :
( ! [U_170] :
( sdtpldt0(U_171,U_170) != U_172
| ~ aElementOf0(U_170,slsdtgt0(xb)) )
| ~ aElementOf0(U_171,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [U_169] :
( ? [U_168] :
( sdtpldt0(U_169,U_168) = xu
& aElementOf0(U_168,slsdtgt0(xb)) )
& aElementOf0(U_169,slsdtgt0(xa)) ) ),
inference(miniscope,[status(thm)],[f_45_2]) ).
fof(f_45_4,plain,
( ! [U_172] :
( ~ iLess0(sbrdtbr0(U_172),sbrdtbr0(xu))
| U_172 = sz00
| ( ~ aElementOf0(U_172,xI)
& ! [U_171] :
( ! [U_170] :
( sdtpldt0(U_171,U_170) != U_172
| ~ aElementOf0(U_170,slsdtgt0(xb)) )
| ~ aElementOf0(U_171,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [U_168] :
( sdtpldt0(sK40,U_168) = xu
& aElementOf0(U_168,slsdtgt0(xb)) )
& aElementOf0(sK40,slsdtgt0(xa)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_169,sK40)],[f_45_3]) ).
fof(f_45_5,plain,
( ! [U_172] :
( ~ iLess0(sbrdtbr0(U_172),sbrdtbr0(xu))
| U_172 = sz00
| ( ~ aElementOf0(U_172,xI)
& ! [U_171] :
( ! [U_170] :
( sdtpldt0(U_171,U_170) != U_172
| ~ aElementOf0(U_170,slsdtgt0(xb)) )
| ~ aElementOf0(U_171,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& sdtpldt0(sK40,sK41) = xu
& aElementOf0(sK41,slsdtgt0(xb))
& aElementOf0(sK40,slsdtgt0(xa)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_168,sK41)],[f_45_4]) ).
fof(f_45_6,plain,
( ! [U_172,U_170,U_171] :
( ~ aElementOf0(U_172,xI)
| ~ sP50(U_172,U_170,U_171) )
& ! [U_172,U_170,U_171] :
( sdtpldt0(U_171,U_170) != U_172
| ~ aElementOf0(U_170,slsdtgt0(xb))
| ~ aElementOf0(U_171,slsdtgt0(xa))
| ~ sP50(U_172,U_170,U_171) )
& ! [U_172,U_170,U_171] :
( ~ iLess0(sbrdtbr0(U_172),sbrdtbr0(xu))
| U_172 = sz00
| sP50(U_172,U_170,U_171) )
& xu != sz00
& aElementOf0(xu,xI)
& sdtpldt0(sK40,sK41) = xu
& aElementOf0(sK41,slsdtgt0(xb))
& aElementOf0(sK40,slsdtgt0(xa)) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP50])],[f_45_5]) ).
cnf(f_45_7,plain,
aElementOf0(sK40,slsdtgt0(xa)),
inference(clausify,[status(thm)],[f_45_6]) ).
cnf(f_45_8,plain,
aElementOf0(sK41,slsdtgt0(xb)),
inference(clausify,[status(thm)],[f_45_6]) ).
cnf(f_45_9,plain,
sdtpldt0(sK40,sK41) = xu,
inference(clausify,[status(thm)],[f_45_6]) ).
fof(f_47_1,negated_conjecture,
~ ? [W0,W1] :
( xu = sdtpldt0(W0,W1)
& ( aElementOf0(W1,slsdtgt0(xb))
| ? [W2] :
( sdtasdt0(xb,W2) = W1
& aElement0(W2) ) )
& ( aElementOf0(W0,slsdtgt0(xa))
| ? [W2] :
( sdtasdt0(xa,W2) = W0
& aElement0(W2) ) ) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_47_2,negated_conjecture,
! [W0,W1] :
( xu != sdtpldt0(W0,W1)
| ( ~ aElementOf0(W1,slsdtgt0(xb))
& ! [W2] :
( sdtasdt0(xb,W2) != W1
| ~ aElement0(W2) ) )
| ( ~ aElementOf0(W0,slsdtgt0(xa))
& ! [W2] :
( sdtasdt0(xa,W2) != W0
| ~ aElement0(W2) ) ) ),
inference(fof_nnf,[status(thm)],[f_47_1]) ).
fof(f_47_3,negated_conjecture,
! [U_178,U_177] :
( xu != sdtpldt0(U_178,U_177)
| ( ~ aElementOf0(U_177,slsdtgt0(xb))
& ! [U_176] :
( sdtasdt0(xb,U_176) != U_177
| ~ aElement0(U_176) ) )
| ( ~ aElementOf0(U_178,slsdtgt0(xa))
& ! [U_175] :
( sdtasdt0(xa,U_175) != U_178
| ~ aElement0(U_175) ) ) ),
inference(variable_rename,[status(thm)],[f_47_2]) ).
fof(f_47_4,negated_conjecture,
! [U_178] :
( ! [U_177] :
( xu != sdtpldt0(U_178,U_177)
| ( ~ aElementOf0(U_177,slsdtgt0(xb))
& ! [U_176] :
( sdtasdt0(xb,U_176) != U_177
| ~ aElement0(U_176) ) ) )
| ( ~ aElementOf0(U_178,slsdtgt0(xa))
& ! [U_175] :
( sdtasdt0(xa,U_175) != U_178
| ~ aElement0(U_175) ) ) ),
inference(miniscope,[status(thm)],[f_47_3]) ).
fof(f_47_5,negated_conjecture,
( ! [U_177,U_176] :
( ~ aElementOf0(U_177,slsdtgt0(xb))
| ~ sP54(U_177,U_176) )
& ! [U_177,U_176] :
( sdtasdt0(xb,U_176) != U_177
| ~ aElement0(U_176)
| ~ sP54(U_177,U_176) )
& ! [U_178,U_175] :
( ~ aElementOf0(U_178,slsdtgt0(xa))
| ~ sP53(U_178,U_175) )
& ! [U_178,U_175] :
( sdtasdt0(xa,U_175) != U_178
| ~ aElement0(U_175)
| ~ sP53(U_178,U_175) )
& ! [U_177,U_176,U_178,U_175] :
( xu != sdtpldt0(U_178,U_177)
| sP54(U_177,U_176)
| sP53(U_178,U_175) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP53,sP54])],[f_47_4]) ).
cnf(f_47_6,negated_conjecture,
( xu != sdtpldt0(U_178,U_177)
| sP54(U_177,U_176)
| sP53(U_178,U_175) ),
inference(clausify,[status(thm)],[f_47_5]) ).
cnf(f_47_8,negated_conjecture,
( ~ aElementOf0(U_178,slsdtgt0(xa))
| ~ sP53(U_178,U_175) ),
inference(clausify,[status(thm)],[f_47_5]) ).
cnf(f_47_10,negated_conjecture,
( ~ aElementOf0(U_177,slsdtgt0(xb))
| ~ sP54(U_177,U_176) ),
inference(clausify,[status(thm)],[f_47_5]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(t1,plain,
( sP54(sK41,U_5033)
| xu != sdtpldt0(sK40,sK41)
| sP53(sK40,U_5029) ),
inference(start,[status(thm),parent(0:0)],[f_47_6]) ).
cnf(t2,plain,
( ~ aElementOf0(sK40,slsdtgt0(xa))
| ~ sP53(sK40,U_5029) ),
inference(extension,[status(thm),parent(t1:1)],[f_47_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
aElementOf0(sK40,slsdtgt0(xa)),
inference(extension,[status(thm),parent(t2:2)],[f_45_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( sdtpldt0(sK40,sK41) != xu
| xu = sdtpldt0(sK40,sK41) ),
inference(extension,[status(thm),parent(t1:2)],[equality_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
sdtpldt0(sK40,sK41) = xu,
inference(extension,[status(thm),parent(t6:2)],[f_45_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ aElementOf0(sK41,slsdtgt0(xb))
| ~ sP54(sK41,U_5033) ),
inference(extension,[status(thm),parent(t1:3)],[f_47_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:3]) ).
cnf(t12,plain,
aElementOf0(sK41,slsdtgt0(xb)),
inference(extension,[status(thm),parent(t10:2)],[f_45_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG115+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.57 % Computer : n009.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Sat Sep 19 20:55:57 UTC 2026
% 0.08/0.57 % CPUTime :
% 30.04/30.59 % SZS status Theorem for theBenchmark
% 30.04/30.59 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------