%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC039-1 : 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 08:54:02 AM UTC 2026
% Result : Unsatisfiable 29.97s 4.80s
% Output : CNFRefutation 29.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of clauses : 50 ( 20 unt; 7 nHn; 50 RR)
% Number of literals : 105 ( 43 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
nil = sk2 ).
cnf(co1_6,negated_conjecture,
sk2 = sk4 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
nil != sk1 ).
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(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause82,axiom,
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ).
cnf(clause85,axiom,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause119,axiom,
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ) ).
cnf(clause143,axiom,
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c4,plain,
nil = sk2,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
nil != sk1,
inference(clausification,[status(esa)],[co1_8]) ).
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(c94,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c103,plain,
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(clausification,[status(esa)],[clause82]) ).
cnf(c106,plain,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause85]) ).
cnf(c140,plain,
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause119]) ).
cnf(c164,plain,
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X0,X1) != X2
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause143]) ).
cnf(d0,plain,
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(equality_resolution,[status(thm)],[c164]) ).
cnf(d1,plain,
nil = sk4,
inference(demodulation,[status(thm)],[c5,c4]) ).
cnf(d2,plain,
( app(app(sk6,sk3),sk7) = nil
| nil = sk3 ),
inference(demodulation,[status(thm)],[c19,d1]) ).
cnf(d3,plain,
nil != sk3,
inference(demodulation,[status(thm)],[c7,c6]) ).
cnf(d4,plain,
app(app(sk6,sk3),sk7) = nil,
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ ssList(app(sk6,sk3))
| ~ ssList(sk7)
| nil = sk7
| nil != nil ),
inference(superposition,[status(thm)],[d4,c140]) ).
cnf(d6,plain,
ssList(sk7),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d7,plain,
( ~ ssList(app(sk6,sk3))
| nil = sk7
| nil != nil ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ ssList(app(sk6,sk3))
| nil = sk7 ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| nil = sk7 ),
inference(resolution,[status(thm)],[d8,c106]) ).
cnf(d10,plain,
( ~ ssList(sk6)
| nil = sk7 ),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
ssList(sk6),
inference(resolution,[status(thm)],[d3,c16]) ).
cnf(d12,plain,
nil = sk7,
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
app(app(sk6,sk3),nil) = nil,
inference(demodulation,[status(thm)],[d4,d12]) ).
cnf(d14,plain,
( ~ ssList(app(sk6,sk3))
| app(sk6,sk3) = nil ),
inference(superposition,[status(thm)],[c94,d13]) ).
cnf(d15,plain,
( ~ ssList(app(sk6,sk3))
| ~ ssList(app(sk6,sk3))
| ~ ssList(sk6)
| ~ ssList(sk3)
| rearsegP(nil,sk3) ),
inference(superposition,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
( rearsegP(nil,sk3)
| ~ ssList(app(sk6,sk3))
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c2,d15]) ).
cnf(d17,plain,
( rearsegP(nil,sk3)
| ~ ssList(app(sk6,sk3)) ),
inference(resolution,[status(thm)],[d11,d16]) ).
cnf(d18,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| rearsegP(nil,sk3) ),
inference(resolution,[status(thm)],[d17,c106]) ).
cnf(d19,plain,
( rearsegP(nil,sk3)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c2,d18]) ).
cnf(d20,plain,
rearsegP(nil,sk3),
inference(resolution,[status(thm)],[d11,d19]) ).
cnf(d21,plain,
( ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[d20,c103]) ).
cnf(d22,plain,
nil = sk3,
inference(resolution,[status(thm)],[c2,d21]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[d3,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 12:08:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.97/4.80 % SZS status Unsatisfiable for theBenchmark.p
% 29.97/4.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------