%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ129+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:22:18 AM UTC 2026
% Result : Theorem 11.29s 3.03s
% Output : CNFRefutation 11.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 157 ( 33 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 184 ( 67 ~; 47 |; 48 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 53 ( 0 sgn 20 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove,conjecture,
( ( ! [X16] :
( cyclist(X16)
=> ? [X17] :
( X16 = X17
& person(X17) ) )
& ! [X14] :
( grocer(X14)
=> ? [X15] :
( X14 = X15
& person(X15) ) )
& ! [X12] :
( ( property1(X12,honest,pos)
& person(X12) )
=> ~ ? [X13] :
( X12 = X13
& property1(X13,dishonest,pos) ) )
& ! [X10] :
( ( property1(X10,healthy,pos)
& person(X10) )
=> ~ ? [X11] :
( X10 = X11
& property1(X11,unhealthy,pos) ) )
& ! [X8] :
( ( property1(X8,unhealthy,pos)
& cyclist(X8) )
=> ? [X9] :
( X8 = X9
& property1(X9,dishonest,pos) ) )
& ! [X6] :
( cyclist(X6)
=> ? [X7] :
( X6 = X7
& property1(X7,industrious,pos) ) )
& ! [X4] :
( ( property1(X4,industrious,pos)
& grocer(X4) )
=> ? [X5] :
( X4 = X5
& property1(X5,honest,pos) ) )
& ! [X2] :
( grocer(X2)
=> ~ ? [X3] :
( X2 = X3
& property1(X3,healthy,pos) ) )
& ! [X0] :
( ( property1(X0,industrious,pos)
& property1(X0,honest,pos)
& person(X0) )
=> ? [X1] :
( X0 = X1
& property1(X1,healthy,pos) ) ) )
=> ! [X18] :
( grocer(X18)
=> ~ ? [X19] :
( X18 = X19
& cyclist(X19) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X16] :
( cyclist(X16)
=> ? [X17] :
( X16 = X17
& person(X17) ) )
& ! [X14] :
( grocer(X14)
=> ? [X15] :
( X14 = X15
& person(X15) ) )
& ! [X12] :
( ( property1(X12,honest,pos)
& person(X12) )
=> ~ ? [X13] :
( X12 = X13
& property1(X13,dishonest,pos) ) )
& ! [X10] :
( ( property1(X10,healthy,pos)
& person(X10) )
=> ~ ? [X11] :
( X10 = X11
& property1(X11,unhealthy,pos) ) )
& ! [X8] :
( ( property1(X8,unhealthy,pos)
& cyclist(X8) )
=> ? [X9] :
( X8 = X9
& property1(X9,dishonest,pos) ) )
& ! [X6] :
( cyclist(X6)
=> ? [X7] :
( X6 = X7
& property1(X7,industrious,pos) ) )
& ! [X4] :
( ( property1(X4,industrious,pos)
& grocer(X4) )
=> ? [X5] :
( X4 = X5
& property1(X5,honest,pos) ) )
& ! [X2] :
( grocer(X2)
=> ~ ? [X3] :
( X2 = X3
& property1(X3,healthy,pos) ) )
& ! [X0] :
( ( property1(X0,industrious,pos)
& property1(X0,honest,pos)
& person(X0) )
=> ? [X1] :
( X0 = X1
& property1(X1,healthy,pos) ) ) )
=> ! [X18] :
( grocer(X18)
=> ~ ? [X19] :
( X18 = X19
& cyclist(X19) ) ) ),
inference(negate_conjecture,[status(cth)],[prove]) ).
cnf(c0,plain,
( property1(sK1(X0),healthy,pos)
| ~ property1(X0,industrious,pos)
| ~ property1(X0,honest,pos)
| ~ person(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( X0 = sK1(X0)
| ~ property1(X0,industrious,pos)
| ~ property1(X0,honest,pos)
| ~ person(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( X0 != X1
| ~ property1(X1,healthy,pos)
| ~ grocer(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( property1(sK5(X0),honest,pos)
| ~ property1(X0,industrious,pos)
| ~ grocer(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( X0 = sK5(X0)
| ~ property1(X0,industrious,pos)
| ~ grocer(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( property1(sK7(X0),industrious,pos)
| ~ cyclist(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
( X0 = sK7(X0)
| ~ cyclist(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
( person(sK15(X0))
| ~ grocer(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( X0 = sK15(X0)
| ~ grocer(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
grocer(sK18),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
cyclist(sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
sK18 = sK19,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
cyclist(sK18),
inference(demodulation,[status(thm)],[c16,c17]) ).
cnf(d1,plain,
sK18 = sK7(sK18),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ cyclist(sK18)
| property1(sK18,industrious,pos) ),
inference(superposition,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
property1(sK18,industrious,pos),
inference(resolution,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
( ~ person(sK18)
| ~ property1(sK18,honest,pos)
| sK18 = sK1(sK18) ),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
sK18 = sK15(sK18),
inference(resolution,[status(thm)],[c12,c15]) ).
cnf(d6,plain,
( ~ grocer(sK18)
| person(sK18) ),
inference(superposition,[status(thm)],[d5,c11]) ).
cnf(d7,plain,
person(sK18),
inference(resolution,[status(thm)],[c15,d6]) ).
cnf(d8,plain,
( ~ property1(sK18,honest,pos)
| sK18 = sK1(sK18) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ grocer(sK18)
| sK18 = sK5(sK18) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d10,plain,
sK18 = sK5(sK18),
inference(resolution,[status(thm)],[c15,d9]) ).
cnf(d11,plain,
( ~ grocer(sK18)
| ~ property1(sK18,industrious,pos)
| property1(sK18,honest,pos) ),
inference(superposition,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
( ~ property1(sK18,industrious,pos)
| property1(sK18,honest,pos) ),
inference(resolution,[status(thm)],[c15,d11]) ).
cnf(d13,plain,
property1(sK18,honest,pos),
inference(resolution,[status(thm)],[d3,d12]) ).
cnf(d14,plain,
sK18 = sK1(sK18),
inference(resolution,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
( ~ grocer(X0)
| ~ property1(X0,healthy,pos) ),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d16,plain,
( ~ person(X0)
| ~ property1(X0,industrious,pos)
| ~ property1(X0,honest,pos)
| ~ grocer(sK1(X0)) ),
inference(resolution,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
( ~ cyclist(X0)
| ~ grocer(sK1(sK7(X0)))
| ~ person(sK7(X0))
| ~ property1(sK7(X0),honest,pos) ),
inference(resolution,[status(thm)],[d16,c5]) ).
cnf(d18,plain,
( ~ cyclist(sK18)
| ~ grocer(sK1(sK7(sK18)))
| ~ person(sK7(sK18))
| ~ property1(sK18,honest,pos) ),
inference(superposition,[status(thm)],[d1,d17]) ).
cnf(d19,plain,
( ~ cyclist(sK18)
| ~ grocer(sK1(sK7(sK18)))
| ~ person(sK18)
| ~ property1(sK18,honest,pos) ),
inference(demodulation,[status(thm)],[d18,d1]) ).
cnf(d20,plain,
( ~ cyclist(sK18)
| ~ grocer(sK1(sK18))
| ~ person(sK18)
| ~ property1(sK18,honest,pos) ),
inference(demodulation,[status(thm)],[d19,d1]) ).
cnf(d21,plain,
( ~ cyclist(sK18)
| ~ grocer(sK18)
| ~ person(sK18)
| ~ property1(sK18,honest,pos) ),
inference(demodulation,[status(thm)],[d20,d14]) ).
cnf(d22,plain,
( ~ cyclist(sK18)
| ~ person(sK18)
| ~ property1(sK18,honest,pos) ),
inference(resolution,[status(thm)],[c15,d21]) ).
cnf(d23,plain,
( ~ person(sK18)
| ~ property1(sK18,honest,pos) ),
inference(resolution,[status(thm)],[d0,d22]) ).
cnf(d24,plain,
~ property1(sK18,honest,pos),
inference(resolution,[status(thm)],[d7,d23]) ).
cnf(d25,plain,
$false,
inference(resolution,[status(thm)],[d13,d24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ129+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n020.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Sat Sep 26 05:18:49 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.29/3.03 % SZS status Theorem for theBenchmark.p
% 11.29/3.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------