%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC071-1 : 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 : n008.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 08:54:10 AM UTC 2026
% Result : Unsatisfiable 122.75s 16.07s
% Output : CNFRefutation 122.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of clauses : 62 ( 16 unt; 32 nHn; 62 RR)
% Number of literals : 161 ( 65 equ; 73 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_8,negated_conjecture,
( nil != sk1
| nil != sk2 ) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| ssItem(sk5) ) ).
cnf(co1_13,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ) ).
cnf(co1_17,negated_conjecture,
( nil = sk3
| ssList(sk6) ) ).
cnf(co1_18,negated_conjecture,
( nil = sk3
| ssList(sk7) ) ).
cnf(co1_20,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause11,axiom,
~ singletonP(nil) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause116,axiom,
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ) ).
cnf(clause172,axiom,
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
cnf(c4,plain,
sk4 = sk2,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk3 = sk1,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( ~ segmentP(sk1,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk2,X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil != sk1
| nil != sk2 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil = sk4
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c12,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c16,plain,
( nil = sk3
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( nil = sk3
| ssList(sk7) ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c19,plain,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
inference(clausification,[status(esa)],[co1_20]) ).
cnf(c29,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c32,plain,
~ singletonP(nil),
inference(clausification,[status(esa)],[clause11]) ).
cnf(c78,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c121,plain,
( X1 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| neq(X0,X1) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c137,plain,
( singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause116]) ).
cnf(c193,plain,
( ~ segmentP(X2,X3)
| ~ ssList(X3)
| segmentP(app(app(X0,X2),X1),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[status(thm)],[c121,c6]) ).
cnf(d1,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[status(thm)],[c29,d0]) ).
cnf(d2,plain,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk1 ),
inference(demodulation,[status(thm)],[c19,c5]) ).
cnf(d3,plain,
( app(app(sk6,sk1),sk7) = sk4
| nil = sk1 ),
inference(demodulation,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( app(app(sk6,sk1),sk7) = sk2
| nil = sk1 ),
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( nil = sk1
| ~ segmentP(sk1,X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d4,c193]) ).
cnf(d6,plain,
( segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(X0)
| nil = sk1 ),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
( ssList(sk6)
| nil = sk1 ),
inference(demodulation,[status(thm)],[c16,c5]) ).
cnf(d8,plain,
( segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| nil = sk1
| nil = sk1 ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ssList(sk7)
| nil = sk1 ),
inference(demodulation,[status(thm)],[c17,c5]) ).
cnf(d10,plain,
( segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| nil = sk1
| nil = sk1 ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( ~ ssList(sk1)
| segmentP(sk2,sk1)
| ~ ssList(sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[d10,c78]) ).
cnf(d12,plain,
( segmentP(sk2,sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[c0,d11]) ).
cnf(d13,plain,
( ~ segmentP(sk1,sk1)
| ~ ssList(sk1)
| nil = sk1
| nil = sk1 ),
inference(resolution,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
( ~ segmentP(sk1,sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
( ~ ssList(sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[d14,c78]) ).
cnf(d16,plain,
nil = sk1,
inference(resolution,[status(thm)],[c0,d15]) ).
cnf(d17,plain,
( cons(sk5,nil) = sk3
| nil = sk2 ),
inference(demodulation,[status(thm)],[c12,c4]) ).
cnf(d18,plain,
( cons(sk5,nil) = sk1
| nil = sk2 ),
inference(demodulation,[status(thm)],[d17,c5]) ).
cnf(d19,plain,
( nil = sk2
| singletonP(X0)
| ~ ssItem(sk5)
| ~ ssList(X0)
| sk1 != X0 ),
inference(superposition,[status(thm)],[d18,c137]) ).
cnf(d20,plain,
( ssItem(sk5)
| nil = sk2 ),
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d21,plain,
( singletonP(X0)
| ~ ssList(X0)
| nil = sk2
| sk1 != X0
| nil = sk2 ),
inference(resolution,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
( singletonP(sk1)
| ~ ssList(sk1)
| nil = sk2 ),
inference(equality_resolution,[status(thm)],[d21]) ).
cnf(d23,plain,
( singletonP(sk1)
| nil = sk2 ),
inference(resolution,[status(thm)],[c0,d22]) ).
cnf(d24,plain,
( singletonP(sk1)
| sk1 = sk2 ),
inference(demodulation,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
~ singletonP(sk1),
inference(demodulation,[status(thm)],[c32,d16]) ).
cnf(d26,plain,
sk1 = sk2,
inference(resolution,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
nil != sk2,
inference(resolution,[status(thm)],[d16,c7]) ).
cnf(d28,plain,
sk1 != sk2,
inference(demodulation,[status(thm)],[d27,d16]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[d28,d26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC071-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n008.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Sep 26 12:11:39 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 122.75/16.07 % SZS status Unsatisfiable for theBenchmark.p
% 122.75/16.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------