%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC181-1 : 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 08:54:32 AM UTC 2026
% Result : Unsatisfiable 114.42s 23.43s
% Output : CNFRefutation 114.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 19 unt; 10 nHn; 27 RR)
% Number of literals : 114 ( 13 equ; 73 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_10,negated_conjecture,
strictorderedP(sk3) ).
cnf(co1_13,negated_conjecture,
~ duplicatefreeP(sk1) ).
cnf(clause18,axiom,
ssList(skaf77(X0)) ).
cnf(clause19,axiom,
ssList(skaf76(X0)) ).
cnf(clause20,axiom,
ssList(skaf75(X0)) ).
cnf(clause63,axiom,
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ).
cnf(clause72,axiom,
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ) ).
cnf(clause162,axiom,
( app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0
| duplicatefreeP(X0)
| ~ ssList(X0) ) ).
cnf(clause181,axiom,
( lt(X1,X3)
| ~ ssList(X5)
| ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c9,plain,
strictorderedP(sk3),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c12,plain,
~ duplicatefreeP(sk1),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c31,plain,
ssList(skaf77(X0)),
inference(clausification,[status(esa)],[clause18]) ).
cnf(c32,plain,
ssList(skaf76(X0)),
inference(clausification,[status(esa)],[clause19]) ).
cnf(c33,plain,
ssList(skaf75(X0)),
inference(clausification,[status(esa)],[clause20]) ).
cnf(c76,plain,
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(clausification,[status(esa)],[clause63]) ).
cnf(c85,plain,
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause72]) ).
cnf(c175,plain,
( app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause162]) ).
cnf(c194,plain,
( ~ ssList(X5)
| ~ ssList(X4)
| lt(X3,X1)
| app(app(X2,cons(X3,X5)),cons(X1,X0)) != X4
| ~ strictorderedP(X4)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause181]) ).
cnf(d0,plain,
( duplicatefreeP(sk3)
| ssItem(X0) ),
inference(resolution,[status(thm)],[c85,c2]) ).
cnf(d1,plain,
~ duplicatefreeP(sk3),
inference(demodulation,[status(thm)],[c12,c5]) ).
cnf(d2,plain,
ssItem(X0),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( lt(X1,X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
inference(resolution,[status(thm)],[d2,c194]) ).
cnf(d4,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| lt(skaf74(X0),skaf74(X0))
| ~ ssItem(skaf74(X0))
| ~ strictorderedP(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| X0 != X1 ),
inference(superposition,[status(thm)],[c175,d3]) ).
cnf(d5,plain,
( duplicatefreeP(X0)
| lt(skaf74(X0),skaf74(X0))
| ~ ssItem(skaf74(X0))
| ~ strictorderedP(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[c31,d4]) ).
cnf(d6,plain,
( duplicatefreeP(X0)
| lt(skaf74(X0),skaf74(X0))
| ~ ssItem(skaf74(X0))
| ~ strictorderedP(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[c32,d5]) ).
cnf(d7,plain,
( duplicatefreeP(X0)
| lt(skaf74(X0),skaf74(X0))
| ~ ssItem(skaf74(X0))
| ~ strictorderedP(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[c33,d6]) ).
cnf(d8,plain,
( duplicatefreeP(X0)
| lt(skaf74(X0),skaf74(X0))
| ~ strictorderedP(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[d2,d7]) ).
cnf(d9,plain,
~ lt(X0,X0),
inference(resolution,[status(thm)],[d2,c76]) ).
cnf(d10,plain,
( duplicatefreeP(X0)
| ~ strictorderedP(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( duplicatefreeP(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
( duplicatefreeP(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[d11,c9]) ).
cnf(d13,plain,
duplicatefreeP(sk3),
inference(resolution,[status(thm)],[c2,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d1,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC181-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41 % Computer : n003.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sat Sep 26 12:28:39 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.42/23.43 % SZS status Unsatisfiable for theBenchmark.p
% 114.42/23.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------