%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC378+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 : Sun Sep 27 08:55:10 AM UTC 2026
% Result : Theorem 48.71s 7.43s
% Output : CNFRefutation 48.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 50 ( 14 unt; 0 def)
% Number of atoms : 176 ( 14 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 220 ( 94 ~; 110 |; 4 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X6] :
( ( memberP(X0,X6)
& memberP(X1,X6) )
| ( ~ memberP(X0,X6)
& ~ memberP(X1,X6) )
| ~ ssItem(X6) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( app(X5,X4) != X2
| app(X4,X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X6] :
( ( memberP(X0,X6)
& memberP(X1,X6) )
| ( ~ memberP(X0,X6)
& ~ memberP(X1,X6) )
| ~ ssItem(X6) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( app(X5,X4) != X2
| app(X4,X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c121,plain,
( ~ ssList(X2)
| memberP(X1,X0)
| ~ memberP(app(X2,X1),X0)
| memberP(X2,X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[ax36]) ).
cnf(c122,plain,
( ~ memberP(X2,X0)
| memberP(app(X2,X1),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[ax36]) ).
cnf(c123,plain,
( ~ ssList(X2)
| memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(clausification,[status(esa)],[ax36]) ).
cnf(c212,plain,
sK254 = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c213,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c214,plain,
ssList(sK257),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
ssList(sK258),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
app(sK257,sK258) = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
app(sK258,sK257) = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
ssItem(sK259),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( memberP(sK253,sK259)
| memberP(sK254,sK259) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( ~ memberP(sK253,sK259)
| ~ memberP(sK254,sK259) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
app(sK257,sK258) = sK254,
inference(demodulation,[status(thm)],[c216,c212]) ).
cnf(d1,plain,
( ~ ssList(sK258)
| ~ ssList(sK257)
| ~ memberP(sK257,X0)
| ~ ssItem(X0)
| memberP(sK254,X0) ),
inference(superposition,[status(thm)],[d0,c122]) ).
cnf(d2,plain,
( ~ ssList(sK258)
| ~ memberP(sK257,X0)
| memberP(sK254,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c214,d1]) ).
cnf(d3,plain,
( ~ memberP(sK257,X0)
| memberP(sK254,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c215,d2]) ).
cnf(d4,plain,
( ~ ssList(sK258)
| ~ ssList(sK257)
| ~ memberP(sK258,X0)
| ~ ssItem(X0)
| memberP(sK254,X0) ),
inference(superposition,[status(thm)],[d0,c123]) ).
cnf(d5,plain,
( ~ ssList(sK258)
| ~ memberP(sK258,X0)
| memberP(sK254,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c214,d4]) ).
cnf(d6,plain,
( ~ memberP(sK258,X0)
| memberP(sK254,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c215,d5]) ).
cnf(d7,plain,
app(sK258,sK257) = sK253,
inference(demodulation,[status(thm)],[c217,c213]) ).
cnf(d8,plain,
( ~ ssList(sK257)
| ~ ssList(sK258)
| memberP(sK257,X0)
| memberP(sK258,X0)
| ~ ssItem(X0)
| ~ memberP(sK253,X0) ),
inference(superposition,[status(thm)],[d7,c121]) ).
cnf(d9,plain,
( ~ ssList(sK258)
| memberP(sK258,X0)
| memberP(sK257,X0)
| ~ memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c214,d8]) ).
cnf(d10,plain,
( memberP(sK258,X0)
| memberP(sK257,X0)
| ~ memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c215,d9]) ).
cnf(d11,plain,
( ~ ssList(sK257)
| ~ ssList(sK258)
| ~ memberP(sK257,X0)
| ~ ssItem(X0)
| memberP(sK253,X0) ),
inference(superposition,[status(thm)],[d7,c123]) ).
cnf(d12,plain,
( ~ ssList(sK258)
| ~ memberP(sK257,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c214,d11]) ).
cnf(d13,plain,
( ~ memberP(sK257,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c215,d12]) ).
cnf(d14,plain,
( ~ ssList(sK257)
| ~ ssList(sK258)
| ~ memberP(sK258,X0)
| ~ ssItem(X0)
| memberP(sK253,X0) ),
inference(superposition,[status(thm)],[d7,c122]) ).
cnf(d15,plain,
( ~ ssList(sK258)
| ~ memberP(sK258,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c214,d14]) ).
cnf(d16,plain,
( ~ memberP(sK258,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c215,d15]) ).
cnf(d17,plain,
( ~ ssList(sK258)
| ~ ssList(sK257)
| memberP(sK258,X0)
| memberP(sK257,X0)
| ~ ssItem(X0)
| ~ memberP(sK254,X0) ),
inference(superposition,[status(thm)],[d0,c121]) ).
cnf(d18,plain,
( ~ ssList(sK258)
| memberP(sK258,X0)
| memberP(sK257,X0)
| ~ memberP(sK254,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c214,d17]) ).
cnf(d19,plain,
( memberP(sK258,X0)
| memberP(sK257,X0)
| ~ memberP(sK254,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c215,d18]) ).
cnf(d20,plain,
( memberP(sK253,sK259)
| memberP(sK258,sK259)
| memberP(sK257,sK259)
| ~ ssItem(sK259) ),
inference(resolution,[status(thm)],[d19,c219]) ).
cnf(d21,plain,
( memberP(sK258,sK259)
| memberP(sK257,sK259)
| memberP(sK253,sK259) ),
inference(resolution,[status(thm)],[c218,d20]) ).
cnf(d22,plain,
( memberP(sK253,sK259)
| ~ ssItem(sK259)
| memberP(sK257,sK259)
| memberP(sK253,sK259) ),
inference(resolution,[status(thm)],[d21,d16]) ).
cnf(d23,plain,
( memberP(sK257,sK259)
| memberP(sK253,sK259) ),
inference(resolution,[status(thm)],[c218,d22]) ).
cnf(d24,plain,
( memberP(sK253,sK259)
| ~ ssItem(sK259)
| memberP(sK253,sK259) ),
inference(resolution,[status(thm)],[d23,d13]) ).
cnf(d25,plain,
memberP(sK253,sK259),
inference(resolution,[status(thm)],[c218,d24]) ).
cnf(d26,plain,
( memberP(sK258,sK259)
| memberP(sK257,sK259)
| ~ ssItem(sK259) ),
inference(resolution,[status(thm)],[d25,d10]) ).
cnf(d27,plain,
( memberP(sK258,sK259)
| memberP(sK257,sK259) ),
inference(resolution,[status(thm)],[c218,d26]) ).
cnf(d28,plain,
( memberP(sK254,sK259)
| ~ ssItem(sK259)
| memberP(sK257,sK259) ),
inference(resolution,[status(thm)],[d27,d6]) ).
cnf(d29,plain,
( memberP(sK257,sK259)
| memberP(sK254,sK259) ),
inference(resolution,[status(thm)],[c218,d28]) ).
cnf(d30,plain,
~ memberP(sK254,sK259),
inference(resolution,[status(thm)],[d25,c220]) ).
cnf(d31,plain,
memberP(sK257,sK259),
inference(resolution,[status(thm)],[d30,d29]) ).
cnf(d32,plain,
( memberP(sK254,sK259)
| ~ ssItem(sK259) ),
inference(resolution,[status(thm)],[d31,d3]) ).
cnf(d33,plain,
memberP(sK254,sK259),
inference(resolution,[status(thm)],[c218,d32]) ).
cnf(d34,plain,
$false,
inference(resolution,[status(thm)],[d30,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC378+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % 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 26 12:55:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.71/7.43 % SZS status Theorem for theBenchmark.p
% 48.71/7.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------