%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG095+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 08:55:09 AM UTC 2026
% Result : Theorem 120.66s 120.91s
% Output : Proof 120.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 78 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 30 ~; 23 |; 22 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 14 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC_01,axiom,
aElement0(sz10),
file('theBenchmark.p',mSortsC_01) ).
fof(m__1205_03,hypothesis,
! [W0] :
( aElement0(W0)
=> ( aElementOf0(W0,sdtpldt1(xI,xJ))
& ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,xJ)
& aElementOf0(W1,xI) ) ) ),
file('theBenchmark.p',m__1205_03) ).
fof(m__,conjecture,
? [W0,W1] :
( sdtpldt0(W0,W1) = sz10
& aElementOf0(W1,xJ)
& aElementOf0(W0,xI) ),
file('theBenchmark.p',m__) ).
fof(f_3_1,plain,
aElement0(sz10),
inference(fof_nnf,[status(thm)],[mSortsC_01]) ).
cnf(f_3_2,plain,
aElement0(sz10),
inference(clausify,[status(thm)],[f_3_1]) ).
fof(f_29_1,plain,
! [W0] :
( ( aElementOf0(W0,sdtpldt1(xI,xJ))
& ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,xJ)
& aElementOf0(W1,xI) ) )
| ~ aElement0(W0) ),
inference(fof_nnf,[status(thm)],[m__1205_03]) ).
fof(f_29_2,plain,
! [U_87] :
( ( aElementOf0(U_87,sdtpldt1(xI,xJ))
& ? [U_86,U_85] :
( sdtpldt0(U_86,U_85) = U_87
& aElementOf0(U_85,xJ)
& aElementOf0(U_86,xI) ) )
| ~ aElement0(U_87) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_87] :
( ( aElementOf0(U_87,sdtpldt1(xI,xJ))
& ? [U_86] :
( ? [U_85] :
( sdtpldt0(U_86,U_85) = U_87
& aElementOf0(U_85,xJ) )
& aElementOf0(U_86,xI) ) )
| ~ aElement0(U_87) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
! [U_87] :
( ( aElementOf0(U_87,sdtpldt1(xI,xJ))
& ? [U_85] :
( sdtpldt0(sK14(U_87),U_85) = U_87
& aElementOf0(U_85,xJ) )
& aElementOf0(sK14(U_87),xI) )
| ~ aElement0(U_87) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_86,sK14(U_87))],[f_29_3]) ).
fof(f_29_5,plain,
! [U_87] :
( ( aElementOf0(U_87,sdtpldt1(xI,xJ))
& sdtpldt0(sK14(U_87),sK15(U_87)) = U_87
& aElementOf0(sK15(U_87),xJ)
& aElementOf0(sK14(U_87),xI) )
| ~ aElement0(U_87) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_85,sK15(U_87))],[f_29_4]) ).
cnf(f_29_6,plain,
( aElementOf0(sK14(U_87),xI)
| ~ aElement0(U_87) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_7,plain,
( aElementOf0(sK15(U_87),xJ)
| ~ aElement0(U_87) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_8,plain,
( sdtpldt0(sK14(U_87),sK15(U_87)) = U_87
| ~ aElement0(U_87) ),
inference(clausify,[status(thm)],[f_29_5]) ).
fof(f_31_1,negated_conjecture,
~ ? [W0,W1] :
( sdtpldt0(W0,W1) = sz10
& aElementOf0(W1,xJ)
& aElementOf0(W0,xI) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_31_2,negated_conjecture,
! [W0,W1] :
( sdtpldt0(W0,W1) != sz10
| ~ aElementOf0(W1,xJ)
| ~ aElementOf0(W0,xI) ),
inference(fof_nnf,[status(thm)],[f_31_1]) ).
fof(f_31_3,negated_conjecture,
! [U_89,U_88] :
( sdtpldt0(U_89,U_88) != sz10
| ~ aElementOf0(U_88,xJ)
| ~ aElementOf0(U_89,xI) ),
inference(variable_rename,[status(thm)],[f_31_2]) ).
fof(f_31_4,negated_conjecture,
! [U_89] :
( ! [U_88] :
( sdtpldt0(U_89,U_88) != sz10
| ~ aElementOf0(U_88,xJ) )
| ~ aElementOf0(U_89,xI) ),
inference(miniscope,[status(thm)],[f_31_3]) ).
fof(f_31_5,negated_conjecture,
! [U_88,U_89] :
( sdtpldt0(U_89,U_88) != sz10
| ~ aElementOf0(U_88,xJ)
| ~ aElementOf0(U_89,xI) ),
inference(definitional_conversion,[status(esa)],[f_31_4]) ).
cnf(f_31_6,negated_conjecture,
( sdtpldt0(U_89,U_88) != sz10
| ~ aElementOf0(U_88,xJ)
| ~ aElementOf0(U_89,xI) ),
inference(clausify,[status(thm)],[f_31_5]) ).
cnf(t1,plain,
( ~ aElementOf0(sK15(sz10),xJ)
| sdtpldt0(sK14(sz10),sK15(sz10)) != sz10
| ~ aElementOf0(sK14(sz10),xI) ),
inference(start,[status(thm),parent(0:0)],[f_31_6]) ).
cnf(t2,plain,
( ~ aElement0(sz10)
| aElementOf0(sK14(sz10),xI) ),
inference(extension,[status(thm),parent(t1:1)],[f_29_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
aElement0(sz10),
inference(extension,[status(thm),parent(t2:2)],[f_3_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ aElement0(sz10)
| sdtpldt0(sK14(sz10),sK15(sz10)) = sz10 ),
inference(extension,[status(thm),parent(t1:2)],[f_29_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
aElement0(sz10),
inference(extension,[status(thm),parent(t6:2)],[f_3_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ aElement0(sz10)
| aElementOf0(sK15(sz10),xJ) ),
inference(extension,[status(thm),parent(t1:3)],[f_29_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:3]) ).
cnf(t12,plain,
aElement0(sz10),
inference(extension,[status(thm),parent(t10:2)],[f_3_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG095+2 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 20:52:20 UTC 2026
% 0.02/0.36 % CPUTime :
% 120.66/120.91 % SZS status Theorem for theBenchmark
% 120.66/120.91 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------