%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN036-4 : 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 : n015.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 09:20:53 AM UTC 2026
% Result : Unsatisfiable 12.82s 2.17s
% Output : CNFRefutation 12.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 16
% Syntax : Number of clauses : 97 ( 4 unt; 73 nHn; 23 RR)
% Number of literals : 430 ( 0 equ; 130 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 188 ( 122 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( q(X1)
| p(X0)
| ~ q(cw)
| ~ p(cx) ) ).
cnf(clause_2,negated_conjecture,
( q(cw)
| p(X1)
| ~ q(X0)
| ~ p(cx) ) ).
cnf(clause_3,negated_conjecture,
( q(X1)
| p(cx)
| ~ q(cw)
| ~ p(X0) ) ).
cnf(clause_4,negated_conjecture,
( q(cw)
| p(cx)
| ~ q(X1)
| ~ p(X0) ) ).
cnf(clause_5,negated_conjecture,
( q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ) ).
cnf(clause_6,negated_conjecture,
( q(cw)
| ~ q(X1)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ) ).
cnf(clause_7,negated_conjecture,
( p(X1)
| ~ q(fz5(X0))
| ~ q(X0)
| ~ q(cw)
| ~ p(cx) ) ).
cnf(clause_10,negated_conjecture,
( q(fz(X1))
| q(X1)
| q(cw)
| p(X0)
| ~ p(cx) ) ).
cnf(clause_15,negated_conjecture,
( q(fz(X1))
| q(X1)
| q(cw)
| p(cx)
| ~ p(X0) ) ).
cnf(clause_16,negated_conjecture,
( p(cx)
| ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(X0) ) ).
cnf(clause_19,negated_conjecture,
( q(X1)
| p(fy(X0))
| p(X0)
| p(cx)
| ~ q(cw) ) ).
cnf(clause_20,negated_conjecture,
( q(cw)
| p(fy(X1))
| p(X1)
| p(cx)
| ~ q(X0) ) ).
cnf(clause_22,negated_conjecture,
( q(fz(X1))
| q(X1)
| q(cw)
| ~ p(fy(X0))
| ~ p(X0)
| ~ p(cx) ) ).
cnf(clause_23,negated_conjecture,
( ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ) ).
cnf(clause_30,negated_conjecture,
( p(fy(X1))
| p(X1)
| p(cx)
| ~ q(fz(X0))
| ~ q(X0)
| ~ q(cw) ) ).
cnf(clause_32,negated_conjecture,
( q(fz5(X1))
| q(X1)
| q(cw)
| p(fy5(X0))
| p(X0)
| p(cx) ) ).
cnf(c0,plain,
( q(X1)
| p(X0)
| ~ q(cw)
| ~ p(cx) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( q(cw)
| p(X1)
| ~ q(X0)
| ~ p(cx) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( q(X1)
| p(cx)
| ~ q(cw)
| ~ p(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( q(cw)
| p(cx)
| ~ q(X1)
| ~ p(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( ~ p(X0)
| q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(cx) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( q(cw)
| ~ p(fy5(X1))
| ~ p(X1)
| ~ p(cx)
| ~ q(X0) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( ~ q(fz5(X0))
| ~ p(cx)
| p(X1)
| ~ q(cw)
| ~ q(X0) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c9,plain,
( q(fz(X1))
| q(cw)
| q(X1)
| p(X0)
| ~ p(cx) ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c14,plain,
( ~ p(X1)
| q(cw)
| p(cx)
| q(X0)
| q(fz(X0)) ),
inference(clausification,[status(esa)],[clause_15]) ).
cnf(c15,plain,
( ~ q(X1)
| ~ q(fz5(X1))
| ~ p(X0)
| p(cx)
| ~ q(cw) ),
inference(clausification,[status(esa)],[clause_16]) ).
cnf(c18,plain,
( p(X0)
| q(X1)
| p(cx)
| ~ q(cw)
| p(fy(X0)) ),
inference(clausification,[status(esa)],[clause_19]) ).
cnf(c19,plain,
( q(cw)
| p(cx)
| p(X1)
| p(fy(X1))
| ~ q(X0) ),
inference(clausification,[status(esa)],[clause_20]) ).
cnf(c21,plain,
( q(X0)
| q(cw)
| ~ p(X1)
| ~ p(fy(X1))
| ~ p(cx)
| q(fz(X0)) ),
inference(clausification,[status(esa)],[clause_22]) ).
cnf(c22,plain,
( ~ p(fy5(X0))
| ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(cx)
| ~ p(X0) ),
inference(clausification,[status(esa)],[clause_23]) ).
cnf(c29,plain,
( p(fy(X1))
| p(cx)
| p(X1)
| ~ q(cw)
| ~ q(X0)
| ~ q(fz(X0)) ),
inference(clausification,[status(esa)],[clause_30]) ).
cnf(c31,plain,
( p(X0)
| q(fz5(X1))
| q(X1)
| q(cw)
| p(cx)
| p(fy5(X0)) ),
inference(clausification,[status(esa)],[clause_32]) ).
cnf(d0,plain,
( q(fz(X2))
| q(cw)
| q(X2)
| p(cx)
| q(fz5(X1))
| q(cw)
| q(X1)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[c31,c14]) ).
cnf(d1,plain,
( q(fz(X2))
| q(cw)
| q(X2)
| p(cx)
| q(fz(X0))
| q(fz5(X1))
| q(cw)
| q(X1)
| q(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( q(fz(X0))
| q(fz5(X1))
| q(cw)
| q(X0)
| q(X1)
| q(X0)
| p(cx) ),
inference(factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
( q(cw)
| p(fy(X2))
| p(cx)
| p(X2)
| q(fz(X1))
| q(cw)
| q(X1)
| q(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d2,c19]) ).
cnf(d4,plain,
( q(cw)
| q(fz(X1))
| q(X1)
| p(fy(X0))
| p(cx)
| p(X0) ),
inference(factoring,[status(thm)],[d3]) ).
cnf(d5,plain,
( q(fz(X2))
| q(cw)
| q(X2)
| p(cx)
| q(fz(X1))
| q(cw)
| q(X1)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d6,plain,
( q(fz(X1))
| q(cw)
| q(X1)
| q(X1)
| p(cx)
| p(X0) ),
inference(factoring,[status(thm)],[d5]) ).
cnf(d7,plain,
( q(cw)
| p(cx)
| ~ p(X2)
| q(cw)
| q(X1)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( q(cw)
| p(fy(X2))
| p(cx)
| p(X2)
| q(cw)
| q(X1)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d6,c19]) ).
cnf(d9,plain,
( q(cw)
| q(X1)
| p(cx)
| p(fy(X0))
| p(X0) ),
inference(factoring,[status(thm)],[d8]) ).
cnf(d10,plain,
( q(cw)
| q(X3)
| p(cx)
| p(X2)
| q(cw)
| q(X1)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
( q(cw)
| q(X2)
| q(X1)
| p(cx)
| p(X0) ),
inference(factoring,[status(thm)],[d10]) ).
cnf(d12,plain,
( q(cw)
| q(X1)
| p(cx)
| p(X0) ),
inference(factoring,[status(thm)],[d11]) ).
cnf(d13,plain,
( q(cw)
| p(cx)
| p(X0) ),
inference(factoring,[status(thm)],[d12]) ).
cnf(d14,plain,
( q(fz(X0))
| q(cw)
| q(X0)
| p(cx)
| q(cw)
| p(cx) ),
inference(resolution,[status(thm)],[d13,c14]) ).
cnf(d15,plain,
( q(cw)
| p(cx)
| ~ p(X1)
| q(cw)
| q(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d14,c3]) ).
cnf(d16,plain,
( q(cw)
| p(cx)
| q(cw)
| q(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( q(cw)
| p(cx) ),
inference(factoring,[status(thm)],[d16]) ).
cnf(d18,plain,
( q(X1)
| p(cx)
| ~ p(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
( q(X1)
| p(fy(X0))
| p(cx)
| p(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d17,c18]) ).
cnf(d20,plain,
( q(X2)
| p(cx)
| q(X1)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( q(X1)
| p(cx)
| p(X0) ),
inference(factoring,[status(thm)],[d20]) ).
cnf(d22,plain,
( q(X1)
| p(cx)
| q(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d21,d18]) ).
cnf(d23,plain,
( q(X0)
| p(cx) ),
inference(factoring,[status(thm)],[d22]) ).
cnf(d24,plain,
( ~ q(cw)
| ~ q(X1)
| p(cx)
| ~ p(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d23,c15]) ).
cnf(d25,plain,
( p(cx)
| ~ q(X1)
| p(cx)
| ~ p(X0) ),
inference(resolution,[status(thm)],[d24,d23]) ).
cnf(d26,plain,
( p(cx)
| p(cx)
| ~ p(X0) ),
inference(resolution,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( ~ q(cw)
| ~ q(X1)
| p(fy(X0))
| p(cx)
| p(X0)
| p(cx) ),
inference(resolution,[status(thm)],[d23,c29]) ).
cnf(d28,plain,
( p(cx)
| ~ q(X1)
| p(fy(X0))
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
( p(cx)
| p(fy(X0))
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d28,d23]) ).
cnf(d30,plain,
( p(cx)
| p(cx)
| p(X0) ),
inference(resolution,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
( p(cx)
| p(cx) ),
inference(resolution,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
( ~ q(cw)
| q(X1)
| ~ p(fy5(X0))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d31,c4]) ).
cnf(d33,plain,
( ~ q(cw)
| q(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d31,c0]) ).
cnf(d34,plain,
( q(cw)
| ~ q(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d31,c1]) ).
cnf(d35,plain,
( q(fz(X1))
| q(cw)
| q(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d31,c9]) ).
cnf(d36,plain,
( q(cw)
| p(X2)
| q(cw)
| q(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
( q(cw)
| q(X1)
| p(X0) ),
inference(factoring,[status(thm)],[d36]) ).
cnf(d38,plain,
( q(cw)
| p(X0) ),
inference(factoring,[status(thm)],[d37]) ).
cnf(d39,plain,
( q(X2)
| p(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d38,d33]) ).
cnf(d40,plain,
( q(X1)
| p(X0) ),
inference(factoring,[status(thm)],[d39]) ).
cnf(d41,plain,
( ~ q(fz5(X1))
| ~ q(cw)
| ~ q(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d31,c6]) ).
cnf(d42,plain,
( ~ q(cw)
| ~ q(X2)
| p(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d40,d41]) ).
cnf(d43,plain,
( p(X3)
| ~ q(X2)
| p(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d42,d40]) ).
cnf(d44,plain,
( p(X3)
| p(X2)
| p(X1)
| p(X0) ),
inference(resolution,[status(thm)],[d43,d40]) ).
cnf(d45,plain,
( p(X2)
| p(X1)
| p(X0) ),
inference(factoring,[status(thm)],[d44]) ).
cnf(d46,plain,
( p(X1)
| p(X0) ),
inference(factoring,[status(thm)],[d45]) ).
cnf(d47,plain,
p(X0),
inference(factoring,[status(thm)],[d46]) ).
cnf(d48,plain,
( ~ q(cw)
| q(X1)
| ~ p(fy5(X0)) ),
inference(resolution,[status(thm)],[d47,d32]) ).
cnf(d49,plain,
( ~ q(cw)
| q(X0) ),
inference(resolution,[status(thm)],[d47,d48]) ).
cnf(d50,plain,
( q(cw)
| ~ q(X1)
| ~ p(fy5(X0))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d31,c5]) ).
cnf(d51,plain,
( q(cw)
| ~ q(X1)
| ~ p(X0)
| q(cw) ),
inference(resolution,[status(thm)],[d38,d50]) ).
cnf(d52,plain,
( q(cw)
| ~ q(X0) ),
inference(resolution,[status(thm)],[d47,d51]) ).
cnf(d53,plain,
( q(fz(X1))
| q(cw)
| q(X1)
| ~ p(fy(X0))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d31,c21]) ).
cnf(d54,plain,
( q(fz(X1))
| q(cw)
| q(X1)
| ~ p(fy(X0)) ),
inference(resolution,[status(thm)],[d47,d53]) ).
cnf(d55,plain,
( q(fz(X0))
| q(cw)
| q(X0) ),
inference(resolution,[status(thm)],[d54,d47]) ).
cnf(d56,plain,
( q(cw)
| q(cw)
| q(X0) ),
inference(resolution,[status(thm)],[d55,d52]) ).
cnf(d57,plain,
( q(cw)
| q(cw) ),
inference(resolution,[status(thm)],[d56,d52]) ).
cnf(d58,plain,
q(X0),
inference(resolution,[status(thm)],[d57,d49]) ).
cnf(d59,plain,
( ~ q(fz5(X1))
| ~ q(cw)
| ~ q(X1)
| ~ p(fy5(X0))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d31,c22]) ).
cnf(d60,plain,
( ~ q(fz5(X1))
| ~ q(cw)
| ~ q(X1)
| ~ p(fy5(X0)) ),
inference(resolution,[status(thm)],[d47,d59]) ).
cnf(d61,plain,
( ~ q(fz5(X1))
| ~ q(X1)
| ~ p(fy5(X0)) ),
inference(resolution,[status(thm)],[d57,d60]) ).
cnf(d62,plain,
( ~ q(fz5(X0))
| ~ q(X0) ),
inference(resolution,[status(thm)],[d47,d61]) ).
cnf(d63,plain,
~ q(fz5(X0)),
inference(resolution,[status(thm)],[d58,d62]) ).
cnf(d64,plain,
$false,
inference(resolution,[status(thm)],[d63,d58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:08:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.82/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 12.82/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------