%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 06:56:47 AM UTC 2026
% Result : Unsatisfiable 13.55s 2.19s
% Output : CNFRefutation 13.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 19 RR)
% Number of literals : 64 ( 63 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 77 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(kestrel_exists,axiom,
response(response(kestrel,X0),X1) = X0 ).
cnf(lark_exists,axiom,
response(response(lark,X0),X1) = response(X0,response(X1,X1)) ).
cnf(lark_lemma1,axiom,
response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)) ).
cnf(lark_lemma2,axiom,
response(response(response(response(lark,lark),lark),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)) ).
cnf(lark_not_egocentric,axiom,
response(l2,l2) != l2 ).
cnf(l2_definition,axiom,
response(lark,lark) = l2 ).
cnf(l3_definition,axiom,
response(l2,lark) = l3 ).
cnf(prove_l3_not_egocentric,negated_conjecture,
response(l3,l3) = l3 ).
cnf(c0,plain,
response(response(kestrel,X0),X1) = X0,
inference(clausification,[status(esa)],[kestrel_exists]) ).
cnf(c1,plain,
response(response(lark,X0),X1) = response(X0,response(X1,X1)),
inference(clausification,[status(esa)],[lark_exists]) ).
cnf(c2,plain,
response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
inference(clausification,[status(esa)],[lark_lemma1]) ).
cnf(c3,plain,
response(response(response(response(lark,lark),lark),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
inference(clausification,[status(esa)],[lark_lemma2]) ).
cnf(c4,plain,
response(l2,l2) != l2,
inference(clausification,[status(esa)],[lark_not_egocentric]) ).
cnf(c5,plain,
response(lark,lark) = l2,
inference(clausification,[status(esa)],[l2_definition]) ).
cnf(c6,plain,
response(l2,lark) = l3,
inference(clausification,[status(esa)],[l3_definition]) ).
cnf(c7,plain,
response(l3,l3) = l3,
inference(clausification,[status(esa)],[prove_l3_not_egocentric]) ).
cnf(d0,plain,
response(l2,X0) = response(lark,response(X0,X0)),
inference(superposition,[status(thm)],[c5,c1]) ).
cnf(d1,plain,
response(l2,lark) = response(lark,l2),
inference(superposition,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
l3 = response(lark,l2),
inference(demodulation,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
response(response(l2,X0),X1) = response(response(X0,X0),response(X1,X1)),
inference(demodulation,[status(thm)],[c2,c5]) ).
cnf(d4,plain,
response(response(l2,lark),X0) = response(l2,response(X0,X0)),
inference(superposition,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
response(l3,X0) = response(l2,response(X0,X0)),
inference(demodulation,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
response(l3,l3) = response(l2,l3),
inference(superposition,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
l3 = response(l2,l3),
inference(demodulation,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
response(response(response(lark,response(lark,lark)),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
inference(demodulation,[status(thm)],[c3,c1]) ).
cnf(d9,plain,
response(response(response(lark,l2),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
inference(demodulation,[status(thm)],[d8,c5]) ).
cnf(d10,plain,
response(response(response(lark,l2),X0),X1) = response(response(l2,response(X0,X0)),x2),
inference(demodulation,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
response(response(l2,response(lark,l2)),X0) = response(response(l2,response(response(lark,l2),response(lark,l2))),x2),
inference(superposition,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
response(response(l2,l3),X0) = response(response(l2,response(response(lark,l2),response(lark,l2))),x2),
inference(demodulation,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
response(l3,X0) = response(response(l2,response(response(lark,l2),response(lark,l2))),x2),
inference(demodulation,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
response(l3,X0) = response(response(l3,response(lark,l2)),x2),
inference(demodulation,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
response(l3,X0) = response(response(l3,l3),x2),
inference(demodulation,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
response(l3,X0) = response(l3,x2),
inference(demodulation,[status(thm)],[d15,c7]) ).
cnf(d17,plain,
response(l3,X1) = response(l3,X0),
inference(superposition,[status(thm)],[d16,d16]) ).
cnf(d18,plain,
response(l3,X0) = l3,
inference(superposition,[status(thm)],[d17,c7]) ).
cnf(d19,plain,
response(l3,lark) = response(l2,l2),
inference(superposition,[status(thm)],[c5,d5]) ).
cnf(d20,plain,
l3 = response(l2,l2),
inference(demodulation,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
l3 != l2,
inference(demodulation,[status(thm)],[c4,d20]) ).
cnf(d22,plain,
l3 = response(l3,X0),
inference(superposition,[status(thm)],[c7,d17]) ).
cnf(d23,plain,
response(l2,l3) = response(lark,l3),
inference(superposition,[status(thm)],[c7,d0]) ).
cnf(d24,plain,
l3 = response(lark,l3),
inference(demodulation,[status(thm)],[d23,d7]) ).
cnf(d25,plain,
response(response(lark,response(kestrel,X0)),X1) = X0,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d26,plain,
l3 = response(l2,response(X0,X0)),
inference(demodulation,[status(thm)],[d5,d18]) ).
cnf(d27,plain,
response(response(lark,X1),response(kestrel,X0)) = response(X1,X0),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d28,plain,
X0 = response(response(kestrel,X0),X1),
inference(superposition,[status(thm)],[d25,d27]) ).
cnf(d29,plain,
l3 = response(l2,X0),
inference(superposition,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
response(response(response(lark,kestrel),X0),X1) = response(X0,X0),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d31,plain,
response(response(lark,X2),X0) = response(X2,response(response(response(lark,kestrel),X0),X1)),
inference(superposition,[status(thm)],[d30,c1]) ).
cnf(d32,plain,
response(response(lark,X1),response(X0,X0)) = response(X1,response(response(lark,response(X0,X0)),X0)),
inference(superposition,[status(thm)],[c1,c1]) ).
cnf(d33,plain,
response(response(lark,X2),response(X0,X0)) = response(X2,response(response(lark,response(response(response(lark,kestrel),X0),X1)),X0)),
inference(superposition,[status(thm)],[d30,d32]) ).
cnf(d34,plain,
response(response(lark,X2),response(X0,X0)) = response(X2,response(response(response(lark,lark),X0),X0)),
inference(demodulation,[status(thm)],[d33,d31]) ).
cnf(d35,plain,
response(response(lark,X0),response(X1,X1)) = response(X0,response(response(l2,X1),X1)),
inference(demodulation,[status(thm)],[d34,c5]) ).
cnf(d36,plain,
response(response(lark,X1),response(X0,X0)) = response(X1,response(l3,X0)),
inference(demodulation,[status(thm)],[d35,d29]) ).
cnf(d37,plain,
response(response(lark,X1),response(X0,X0)) = response(X1,l3),
inference(demodulation,[status(thm)],[d36,d18]) ).
cnf(d38,plain,
response(response(lark,response(X0,X0)),X0) = response(response(response(lark,kestrel),response(X0,X0)),X1),
inference(superposition,[status(thm)],[d30,c1]) ).
cnf(d39,plain,
response(response(lark,response(X0,X0)),X0) = response(response(kestrel,l3),X1),
inference(demodulation,[status(thm)],[d38,d37]) ).
cnf(d40,plain,
response(response(lark,response(X1,X1)),X1) = l3,
inference(demodulation,[status(thm)],[d39,c0]) ).
cnf(d41,plain,
l3 = kestrel,
inference(superposition,[status(thm)],[d40,d25]) ).
cnf(d42,plain,
response(response(response(lark,kestrel),response(kestrel,X0)),X1) = X0,
inference(superposition,[status(thm)],[d30,c0]) ).
cnf(d43,plain,
response(response(response(lark,l3),response(kestrel,X0)),X1) = X0,
inference(demodulation,[status(thm)],[d42,d41]) ).
cnf(d44,plain,
response(response(l3,response(kestrel,X0)),X1) = X0,
inference(demodulation,[status(thm)],[d43,d24]) ).
cnf(d45,plain,
response(l3,X1) = X0,
inference(demodulation,[status(thm)],[d44,d18]) ).
cnf(d46,plain,
l3 = X1,
inference(superposition,[status(thm)],[d45,d22]) ).
cnf(d47,plain,
$false,
inference(resolution,[status(thm)],[d46,d21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 23:09:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.55/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 13.55/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------