%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG071+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 06:47:21 AM UTC 2026
% Result : Theorem 160.10s 28.42s
% Output : CNFRefutation 160.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 99 ( 25 unt; 0 def)
% Number of atoms : 230 ( 95 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 236 ( 105 ~; 95 |; 12 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> sorti1(op1(X0,X1)) ) ) ).
fof(ax2,axiom,
! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> sorti2(op2(X0,X1)) ) ) ).
fof(ax3,axiom,
! [X0] :
( sorti1(X0)
=> ? [X1] :
( op1(X0,op1(X1,X0)) = X1
& op1(X1,op1(X1,X0)) != X0
& sorti1(X1) ) ) ).
fof(ax4,axiom,
~ ! [X0] :
( sorti2(X0)
=> ? [X1] :
( op2(X0,op2(X1,X0)) = X1
& op2(X1,op2(X1,X0)) != X0
& sorti2(X1) ) ) ).
fof(co1,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c0,plain,
( sorti1(op1(X0,X1))
| ~ sorti1(X1)
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[ax1]) ).
cnf(c1,plain,
( sorti2(op2(X0,X1))
| ~ sorti2(X1)
| ~ sorti2(X0) ),
inference(clausification,[status(esa)],[ax2]) ).
cnf(c2,plain,
( sorti1(sK5(X0))
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[ax3]) ).
cnf(c3,plain,
( op1(X0,op1(sK5(X0),X0)) = sK5(X0)
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[ax3]) ).
cnf(c4,plain,
( op1(sK5(X0),op1(sK5(X0),X0)) != X0
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[ax3]) ).
cnf(c5,plain,
sorti2(sK6),
inference(clausification,[status(esa)],[ax4]) ).
cnf(c6,plain,
( op2(X0,op2(X0,sK6)) = sK6
| op2(sK6,op2(X0,sK6)) != X0
| ~ sorti2(X0) ),
inference(clausification,[status(esa)],[ax4]) ).
cnf(c7,plain,
( sorti1(j(X0))
| ~ sorti2(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( sorti2(h(X0))
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
( op1(j(X0),j(X1)) = j(op2(X0,X1))
| ~ sorti2(X1)
| ~ sorti2(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
( j(h(X0)) = X0
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
( h(j(X0)) = X0
| ~ sorti2(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( op2(h(X0),h(X1)) = h(op1(X0,X1))
| ~ sorti1(X1)
| ~ sorti1(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ sorti2(X0)
| op1(j(X0),op1(sK5(j(X0)),j(X0))) = sK5(j(X0)) ),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(d1,plain,
op1(j(sK6),op1(sK5(j(sK6)),j(sK6))) = sK5(j(sK6)),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( j(h(sK5(X0))) = sK5(X0)
| ~ sorti1(X0) ),
inference(resolution,[status(thm)],[c2,c10]) ).
cnf(d3,plain,
( ~ sorti2(X0)
| j(h(sK5(j(X0)))) = sK5(j(X0)) ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
j(h(sK5(j(sK6)))) = sK5(j(sK6)),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
( ~ sorti1(X0)
| ~ sorti2(X1)
| op1(j(h(X0)),j(X1)) = j(op2(h(X0),X1)) ),
inference(resolution,[status(thm)],[c9,c8]) ).
cnf(d6,plain,
( ~ sorti1(X0)
| op1(j(h(X0)),j(sK6)) = j(op2(h(X0),sK6)) ),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
( ~ sorti1(X0)
| op1(j(h(sK5(X0))),j(sK6)) = j(op2(h(sK5(X0)),sK6)) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( ~ sorti2(X0)
| op1(j(h(sK5(j(X0)))),j(sK6)) = j(op2(h(sK5(j(X0))),sK6)) ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
op1(j(h(sK5(j(sK6)))),j(sK6)) = j(op2(h(sK5(j(sK6))),sK6)),
inference(resolution,[status(thm)],[d8,c5]) ).
cnf(d10,plain,
op1(sK5(j(sK6)),j(sK6)) = j(op2(h(sK5(j(sK6))),sK6)),
inference(demodulation,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
( ~ sorti2(X0)
| op1(j(sK6),j(X0)) = j(op2(sK6,X0)) ),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(d12,plain,
( ~ sorti2(X1)
| ~ sorti2(X0)
| op1(j(sK6),j(op2(X0,X1))) = j(op2(sK6,op2(X0,X1))) ),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d13,plain,
( ~ sorti1(X0)
| ~ sorti2(X1)
| op1(j(sK6),j(op2(h(X0),X1))) = j(op2(sK6,op2(h(X0),X1))) ),
inference(resolution,[status(thm)],[d12,c8]) ).
cnf(d14,plain,
( ~ sorti1(X0)
| op1(j(sK6),j(op2(h(X0),sK6))) = j(op2(sK6,op2(h(X0),sK6))) ),
inference(resolution,[status(thm)],[d13,c5]) ).
cnf(d15,plain,
( ~ sorti1(X0)
| op1(j(sK6),j(op2(h(sK5(X0)),sK6))) = j(op2(sK6,op2(h(sK5(X0)),sK6))) ),
inference(resolution,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
( ~ sorti2(X0)
| op1(j(sK6),j(op2(h(sK5(j(X0))),sK6))) = j(op2(sK6,op2(h(sK5(j(X0))),sK6))) ),
inference(resolution,[status(thm)],[d15,c7]) ).
cnf(d17,plain,
op1(j(sK6),j(op2(h(sK5(j(sK6))),sK6))) = j(op2(sK6,op2(h(sK5(j(sK6))),sK6))),
inference(resolution,[status(thm)],[d16,c5]) ).
cnf(d18,plain,
op1(j(sK6),op1(sK5(j(sK6)),j(sK6))) = j(op2(sK6,op2(h(sK5(j(sK6))),sK6))),
inference(demodulation,[status(thm)],[d17,d10]) ).
cnf(d19,plain,
sK5(j(sK6)) = j(op2(sK6,op2(h(sK5(j(sK6))),sK6))),
inference(demodulation,[status(thm)],[d18,d1]) ).
cnf(d20,plain,
( h(j(op2(X0,X1))) = op2(X0,X1)
| ~ sorti2(X1)
| ~ sorti2(X0) ),
inference(resolution,[status(thm)],[c1,c11]) ).
cnf(d21,plain,
( ~ sorti2(X0)
| h(j(op2(sK6,X0))) = op2(sK6,X0) ),
inference(resolution,[status(thm)],[c5,d20]) ).
cnf(d22,plain,
( ~ sorti2(X1)
| ~ sorti2(X0)
| h(j(op2(sK6,op2(X0,X1)))) = op2(sK6,op2(X0,X1)) ),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
( ~ sorti1(X0)
| ~ sorti2(X1)
| h(j(op2(sK6,op2(h(X0),X1)))) = op2(sK6,op2(h(X0),X1)) ),
inference(resolution,[status(thm)],[d22,c8]) ).
cnf(d24,plain,
( ~ sorti1(X0)
| h(j(op2(sK6,op2(h(X0),sK6)))) = op2(sK6,op2(h(X0),sK6)) ),
inference(resolution,[status(thm)],[d23,c5]) ).
cnf(d25,plain,
( ~ sorti1(X0)
| h(j(op2(sK6,op2(h(sK5(X0)),sK6)))) = op2(sK6,op2(h(sK5(X0)),sK6)) ),
inference(resolution,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
( ~ sorti2(X0)
| h(j(op2(sK6,op2(h(sK5(j(X0))),sK6)))) = op2(sK6,op2(h(sK5(j(X0))),sK6)) ),
inference(resolution,[status(thm)],[d25,c7]) ).
cnf(d27,plain,
h(j(op2(sK6,op2(h(sK5(j(sK6))),sK6)))) = op2(sK6,op2(h(sK5(j(sK6))),sK6)),
inference(resolution,[status(thm)],[d26,c5]) ).
cnf(d28,plain,
h(sK5(j(sK6))) = op2(sK6,op2(h(sK5(j(sK6))),sK6)),
inference(demodulation,[status(thm)],[d27,d19]) ).
cnf(d29,plain,
( ~ sorti2(h(sK5(j(sK6))))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = sK6
| h(sK5(j(sK6))) != h(sK5(j(sK6))) ),
inference(superposition,[status(thm)],[d28,c6]) ).
cnf(d30,plain,
( ~ sorti1(X0)
| h(j(h(X0))) = h(X0) ),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(d31,plain,
( h(j(h(sK5(X0)))) = h(sK5(X0))
| ~ sorti1(X0) ),
inference(resolution,[status(thm)],[c2,d30]) ).
cnf(d32,plain,
( ~ sorti2(X0)
| h(j(h(sK5(j(X0))))) = h(sK5(j(X0))) ),
inference(resolution,[status(thm)],[d31,c7]) ).
cnf(d33,plain,
h(j(h(sK5(j(sK6))))) = h(sK5(j(sK6))),
inference(resolution,[status(thm)],[c5,d32]) ).
cnf(d34,plain,
h(sK5(j(sK6))) = h(sK5(j(sK6))),
inference(demodulation,[status(thm)],[d33,d4]) ).
cnf(d35,plain,
( ~ sorti2(h(sK5(j(sK6))))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = sK6 ),
inference(resolution,[status(thm)],[d34,d29]) ).
cnf(d36,plain,
( ~ sorti1(sK5(j(sK6)))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = sK6 ),
inference(resolution,[status(thm)],[d35,c8]) ).
cnf(d37,plain,
( ~ sorti1(j(sK6))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = sK6 ),
inference(resolution,[status(thm)],[d36,c2]) ).
cnf(d38,plain,
( ~ sorti2(sK6)
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = sK6 ),
inference(resolution,[status(thm)],[d37,c7]) ).
cnf(d39,plain,
op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = sK6,
inference(resolution,[status(thm)],[c5,d38]) ).
cnf(d40,plain,
( ~ sorti1(X0)
| ~ sorti2(X1)
| h(j(op2(h(X0),X1))) = op2(h(X0),X1) ),
inference(resolution,[status(thm)],[d20,c8]) ).
cnf(d41,plain,
( ~ sorti1(X0)
| h(j(op2(h(X0),sK6))) = op2(h(X0),sK6) ),
inference(resolution,[status(thm)],[d40,c5]) ).
cnf(d42,plain,
( ~ sorti1(X0)
| h(j(op2(h(sK5(X0)),sK6))) = op2(h(sK5(X0)),sK6) ),
inference(resolution,[status(thm)],[d41,c2]) ).
cnf(d43,plain,
( ~ sorti2(X0)
| h(j(op2(h(sK5(j(X0))),sK6))) = op2(h(sK5(j(X0))),sK6) ),
inference(resolution,[status(thm)],[d42,c7]) ).
cnf(d44,plain,
h(j(op2(h(sK5(j(sK6))),sK6))) = op2(h(sK5(j(sK6))),sK6),
inference(resolution,[status(thm)],[d43,c5]) ).
cnf(d45,plain,
h(op1(sK5(j(sK6)),j(sK6))) = op2(h(sK5(j(sK6))),sK6),
inference(demodulation,[status(thm)],[d44,d10]) ).
cnf(d46,plain,
( ~ sorti1(j(op2(h(sK5(j(sK6))),sK6)))
| sorti2(op2(h(sK5(j(sK6))),sK6)) ),
inference(superposition,[status(thm)],[d44,c8]) ).
cnf(d47,plain,
( sorti2(op2(h(sK5(j(sK6))),sK6))
| ~ sorti1(op1(sK5(j(sK6)),j(sK6))) ),
inference(demodulation,[status(thm)],[d46,d10]) ).
cnf(d48,plain,
( ~ sorti1(sK5(j(sK6)))
| ~ sorti1(j(sK6))
| sorti2(op2(h(sK5(j(sK6))),sK6)) ),
inference(resolution,[status(thm)],[d47,c0]) ).
cnf(d49,plain,
( ~ sorti1(X0)
| ~ sorti1(X1)
| op2(h(sK5(X0)),h(X1)) = h(op1(sK5(X0),X1)) ),
inference(resolution,[status(thm)],[c12,c2]) ).
cnf(d50,plain,
( ~ sorti2(X0)
| ~ sorti1(X1)
| op2(h(sK5(j(X0))),h(X1)) = h(op1(sK5(j(X0)),X1)) ),
inference(resolution,[status(thm)],[d49,c7]) ).
cnf(d51,plain,
( ~ sorti1(X0)
| op2(h(sK5(j(sK6))),h(X0)) = h(op1(sK5(j(sK6)),X0)) ),
inference(resolution,[status(thm)],[d50,c5]) ).
cnf(d52,plain,
( ~ sorti2(X0)
| op2(h(sK5(j(sK6))),h(j(X0))) = h(op1(sK5(j(sK6)),j(X0))) ),
inference(resolution,[status(thm)],[d51,c7]) ).
cnf(d53,plain,
( ~ sorti1(j(sK6))
| ~ sorti1(sK5(j(sK6)))
| op2(h(sK5(j(sK6))),h(j(op2(h(sK5(j(sK6))),sK6)))) = h(op1(sK5(j(sK6)),j(op2(h(sK5(j(sK6))),sK6)))) ),
inference(resolution,[status(thm)],[d52,d48]) ).
cnf(d54,plain,
( ~ sorti1(j(sK6))
| ~ sorti1(sK5(j(sK6)))
| op2(h(sK5(j(sK6))),h(op1(sK5(j(sK6)),j(sK6)))) = h(op1(sK5(j(sK6)),j(op2(h(sK5(j(sK6))),sK6)))) ),
inference(demodulation,[status(thm)],[d53,d10]) ).
cnf(d55,plain,
( ~ sorti1(j(sK6))
| ~ sorti1(sK5(j(sK6)))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = h(op1(sK5(j(sK6)),j(op2(h(sK5(j(sK6))),sK6)))) ),
inference(demodulation,[status(thm)],[d54,d45]) ).
cnf(d56,plain,
( ~ sorti1(j(sK6))
| ~ sorti1(sK5(j(sK6)))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6)))) ),
inference(demodulation,[status(thm)],[d55,d10]) ).
cnf(d57,plain,
( ~ sorti1(j(sK6))
| ~ sorti1(j(sK6))
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6)))) ),
inference(resolution,[status(thm)],[d56,c2]) ).
cnf(d58,plain,
( ~ sorti2(sK6)
| op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6)))) ),
inference(resolution,[status(thm)],[d57,c7]) ).
cnf(d59,plain,
op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6)) = h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6)))),
inference(resolution,[status(thm)],[c5,d58]) ).
cnf(d60,plain,
( ~ sorti1(X0)
| ~ sorti1(X1)
| j(h(op1(X0,X1))) = op1(X0,X1) ),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(d61,plain,
( ~ sorti1(X1)
| j(h(op1(sK5(X0),X1))) = op1(sK5(X0),X1)
| ~ sorti1(X0) ),
inference(resolution,[status(thm)],[c2,d60]) ).
cnf(d62,plain,
( ~ sorti2(X0)
| ~ sorti1(X1)
| j(h(op1(sK5(j(X0)),X1))) = op1(sK5(j(X0)),X1) ),
inference(resolution,[status(thm)],[d61,c7]) ).
cnf(d63,plain,
( ~ sorti1(X0)
| j(h(op1(sK5(j(sK6)),X0))) = op1(sK5(j(sK6)),X0) ),
inference(resolution,[status(thm)],[d62,c5]) ).
cnf(d64,plain,
( ~ sorti1(X0)
| ~ sorti1(X1)
| j(h(op1(sK5(j(sK6)),op1(X0,X1)))) = op1(sK5(j(sK6)),op1(X0,X1)) ),
inference(resolution,[status(thm)],[d63,c0]) ).
cnf(d65,plain,
( ~ sorti1(X0)
| ~ sorti1(X1)
| j(h(op1(sK5(j(sK6)),op1(sK5(X0),X1)))) = op1(sK5(j(sK6)),op1(sK5(X0),X1)) ),
inference(resolution,[status(thm)],[d64,c2]) ).
cnf(d66,plain,
( ~ sorti2(X0)
| ~ sorti1(X1)
| j(h(op1(sK5(j(sK6)),op1(sK5(j(X0)),X1)))) = op1(sK5(j(sK6)),op1(sK5(j(X0)),X1)) ),
inference(resolution,[status(thm)],[d65,c7]) ).
cnf(d67,plain,
( ~ sorti1(X0)
| j(h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),X0)))) = op1(sK5(j(sK6)),op1(sK5(j(sK6)),X0)) ),
inference(resolution,[status(thm)],[d66,c5]) ).
cnf(d68,plain,
( ~ sorti2(X0)
| j(h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(X0))))) = op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(X0))) ),
inference(resolution,[status(thm)],[d67,c7]) ).
cnf(d69,plain,
j(h(op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6))))) = op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6))),
inference(resolution,[status(thm)],[d68,c5]) ).
cnf(d70,plain,
j(op2(h(sK5(j(sK6))),op2(h(sK5(j(sK6))),sK6))) = op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6))),
inference(demodulation,[status(thm)],[d69,d59]) ).
cnf(d71,plain,
j(sK6) = op1(sK5(j(sK6)),op1(sK5(j(sK6)),j(sK6))),
inference(demodulation,[status(thm)],[d70,d39]) ).
cnf(d72,plain,
( ~ sorti1(j(sK6))
| j(sK6) != j(sK6) ),
inference(superposition,[status(thm)],[d71,c4]) ).
cnf(d73,plain,
h(j(sK6)) = sK6,
inference(resolution,[status(thm)],[c5,c11]) ).
cnf(d74,plain,
( ~ sorti2(X0)
| j(h(j(X0))) = j(X0) ),
inference(resolution,[status(thm)],[c10,c7]) ).
cnf(d75,plain,
j(h(j(sK6))) = j(sK6),
inference(resolution,[status(thm)],[c5,d74]) ).
cnf(d76,plain,
j(sK6) = j(sK6),
inference(demodulation,[status(thm)],[d75,d73]) ).
cnf(d77,plain,
~ sorti1(j(sK6)),
inference(resolution,[status(thm)],[d76,d72]) ).
cnf(d78,plain,
~ sorti2(sK6),
inference(resolution,[status(thm)],[d77,c7]) ).
cnf(d79,plain,
$false,
inference(resolution,[status(thm)],[c5,d78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG071+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n018.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 21:08:12 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.10/28.42 % SZS status Theorem for theBenchmark.p
% 160.10/28.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------