%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC179-1 : 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 : n003.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 08:54:31 AM UTC 2026
% Result : Unsatisfiable 24.70s 8.55s
% Output : CNFRefutation 24.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 14 unt; 6 nHn; 17 RR)
% Number of literals : 32 ( 8 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
~ duplicatefreeP(sk1) ).
cnf(co1_18,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ) ).
cnf(clause2,axiom,
duplicatefreeP(nil) ).
cnf(clause65,axiom,
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ) ).
cnf(clause72,axiom,
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
~ duplicatefreeP(sk1),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c17,plain,
( nil = sk3
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c22,plain,
duplicatefreeP(nil),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c85,plain,
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause65]) ).
cnf(c92,plain,
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause72]) ).
cnf(d0,plain,
( ssItem(X0)
| duplicatefreeP(sk3) ),
inference(resolution,[status(thm)],[c92,c2]) ).
cnf(d1,plain,
~ duplicatefreeP(sk3),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
ssItem(X0),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
duplicatefreeP(cons(X0,nil)),
inference(resolution,[status(thm)],[d2,c85]) ).
cnf(d4,plain,
( nil = sk3
| duplicatefreeP(sk3) ),
inference(superposition,[status(thm)],[c17,d3]) ).
cnf(d5,plain,
nil = sk3,
inference(resolution,[status(thm)],[d1,d4]) ).
cnf(d6,plain,
~ duplicatefreeP(nil),
inference(demodulation,[status(thm)],[d1,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c22,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC179-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n003.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 12:28:29 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.70/8.55 % SZS status Unsatisfiable for theBenchmark.p
% 24.70/8.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------