%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG111+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Sun Sep 27 08:25:54 AM UTC 2026
% Result : Theorem 14.23s 12.27s
% Output : CNFRefutation 14.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 1
% Syntax : Number of formulae : 43 ( 6 unt; 0 def)
% Number of atoms : 172 ( 96 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 203 ( 74 ~; 101 |; 16 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X0] :
( ( X0 != sz00
& aElementOf0(X0,xI) )
=> ( ! [X1] :
( ( X1 != sz00
& aElementOf0(X1,xI) )
=> ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
=> ? [X2] :
( ! [X3] :
( ( X3 != sz00
& aElementOf0(X3,xI) )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
& X2 != sz00
& aElementOf0(X2,xI) ) ) )
=> ? [X1] :
( ! [X2] :
( ( X2 != sz00
& aElementOf0(X2,xI) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& X1 != sz00
& aElementOf0(X1,xI) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( X0 != sz00
& aElementOf0(X0,xI) )
=> ( ! [X1] :
( ( X1 != sz00
& aElementOf0(X1,xI) )
=> ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
=> ? [X2] :
( ! [X3] :
( ( X3 != sz00
& aElementOf0(X3,xI) )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
& X2 != sz00
& aElementOf0(X2,xI) ) ) )
=> ? [X1] :
( ! [X2] :
( ( X2 != sz00
& aElementOf0(X2,xI) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& X1 != sz00
& aElementOf0(X1,xI) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c120,plain,
aElementOf0(sK108,xI),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
sK108 != sz00,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
( aElementOf0(sK110,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK108))
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c123,plain,
( sK110 != sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK108))
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c124,plain,
( ~ aElementOf0(X1,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK108))
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK110))
| X0 = sz00
| X1 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c125,plain,
( aElementOf0(sK113(X0),xI)
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c126,plain,
( sK113(X0) != sz00
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c127,plain,
( iLess0(sbrdtbr0(sK113(X0)),sbrdtbr0(X0))
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| aElementOf0(sK110,xI)
| ~ aElementOf0(sK113(sK108),xI)
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[c122,c127]) ).
cnf(d1,plain,
( ~ aElementOf0(sK113(sK108),xI)
| aElementOf0(sK110,xI)
| sK113(sK108) = sz00
| sK108 = sz00 ),
inference(resolution,[status(thm)],[c120,d0]) ).
cnf(d2,plain,
( ~ aElementOf0(sK113(sK108),xI)
| aElementOf0(sK110,xI)
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[c121,d1]) ).
cnf(d3,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| aElementOf0(sK110,xI)
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[d2,c125]) ).
cnf(d4,plain,
( aElementOf0(sK110,xI)
| sK113(sK108) = sz00
| sK108 = sz00 ),
inference(resolution,[status(thm)],[c120,d3]) ).
cnf(d5,plain,
( aElementOf0(sK110,xI)
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[c121,d4]) ).
cnf(d6,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK110))
| ~ aElementOf0(sK113(sK108),xI)
| ~ aElementOf0(X0,xI)
| sK113(sK108) = sz00
| X0 = sz00 ),
inference(resolution,[status(thm)],[c124,c127]) ).
cnf(d7,plain,
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK110))
| ~ aElementOf0(sK113(sK108),xI)
| ~ aElementOf0(X0,xI)
| sK113(sK108) = sz00
| sK108 = sz00
| X0 = sz00 ),
inference(resolution,[status(thm)],[c120,d6]) ).
cnf(d8,plain,
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK110))
| ~ aElementOf0(sK113(sK108),xI)
| ~ aElementOf0(X0,xI)
| sK113(sK108) = sz00
| X0 = sz00 ),
inference(resolution,[status(thm)],[c121,d7]) ).
cnf(d9,plain,
( ~ aElementOf0(sK110,xI)
| sK110 = sz00
| ~ aElementOf0(sK113(sK108),xI)
| ~ aElementOf0(sK113(sK110),xI)
| sK113(sK108) = sz00
| sK113(sK110) = sz00 ),
inference(resolution,[status(thm)],[d8,c127]) ).
cnf(d10,plain,
( ~ aElementOf0(sK110,xI)
| sK110 = sz00
| ~ aElementOf0(sK113(sK108),xI)
| ~ aElementOf0(sK110,xI)
| sK113(sK110) = sz00
| sK113(sK108) = sz00
| sK110 = sz00 ),
inference(resolution,[status(thm)],[d9,c125]) ).
cnf(d11,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| ~ aElementOf0(sK110,xI)
| sK113(sK110) = sz00
| sK113(sK108) = sz00
| sK110 = sz00 ),
inference(resolution,[status(thm)],[d10,c125]) ).
cnf(d12,plain,
( ~ aElementOf0(sK110,xI)
| sK113(sK110) = sz00
| sK113(sK108) = sz00
| sK110 = sz00
| sK108 = sz00 ),
inference(resolution,[status(thm)],[c120,d11]) ).
cnf(d13,plain,
( ~ aElementOf0(sK110,xI)
| sK113(sK110) = sz00
| sK113(sK108) = sz00
| sK110 = sz00 ),
inference(resolution,[status(thm)],[c121,d12]) ).
cnf(d14,plain,
( sK113(sK108) = sz00
| sK113(sK110) = sz00
| sK113(sK108) = sz00
| sK110 = sz00 ),
inference(resolution,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
( sK113(sK108) = sz00
| sK110 = sz00
| ~ aElementOf0(sK110,xI)
| sK110 = sz00
| sz00 != sz00 ),
inference(superposition,[status(thm)],[d14,c126]) ).
cnf(d16,plain,
( ~ aElementOf0(sK110,xI)
| sK113(sK108) = sz00
| sK110 = sz00 ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( sK113(sK108) = sz00
| sK113(sK108) = sz00
| sK110 = sz00 ),
inference(resolution,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
( sK110 = sz00
| ~ aElementOf0(sK108,xI)
| sK108 = sz00
| sz00 != sz00 ),
inference(superposition,[status(thm)],[d17,c126]) ).
cnf(d19,plain,
( sK110 = sz00
| sK108 = sz00
| sz00 != sz00 ),
inference(resolution,[status(thm)],[c120,d18]) ).
cnf(d20,plain,
( sK110 = sz00
| sz00 != sz00 ),
inference(resolution,[status(thm)],[c121,d19]) ).
cnf(d21,plain,
sK110 = sz00,
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sK108))
| ~ aElementOf0(X0,xI)
| X0 = sz00 ),
inference(resolution,[status(thm)],[d21,c123]) ).
cnf(d23,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| ~ aElementOf0(sK113(sK108),xI)
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[d22,c127]) ).
cnf(d24,plain,
( ~ aElementOf0(sK113(sK108),xI)
| sK113(sK108) = sz00
| sK108 = sz00 ),
inference(resolution,[status(thm)],[c120,d23]) ).
cnf(d25,plain,
( ~ aElementOf0(sK113(sK108),xI)
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[c121,d24]) ).
cnf(d26,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| sK113(sK108) = sz00 ),
inference(resolution,[status(thm)],[d25,c125]) ).
cnf(d27,plain,
( sK113(sK108) = sz00
| sK108 = sz00 ),
inference(resolution,[status(thm)],[c120,d26]) ).
cnf(d28,plain,
sK113(sK108) = sz00,
inference(resolution,[status(thm)],[c121,d27]) ).
cnf(d29,plain,
( ~ aElementOf0(sK108,xI)
| sK108 = sz00
| sz00 != sz00 ),
inference(superposition,[status(thm)],[d28,c126]) ).
cnf(d30,plain,
( sK108 = sz00
| sz00 != sz00 ),
inference(resolution,[status(thm)],[c120,d29]) ).
cnf(d31,plain,
sz00 != sz00,
inference(resolution,[status(thm)],[c121,d30]) ).
cnf(d32,plain,
$false,
inference(equality_resolution,[status(thm)],[d31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG111+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.39 % Computer : n026.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Sat Sep 26 06:10:51 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.23/12.27 % SZS status Theorem for theBenchmark.p
% 14.23/12.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------