%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN037-2 : 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 : n017.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 09:20:54 AM UTC 2026
% Result : Unsatisfiable 9.74s 1.69s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 84 ( 3 unt; 57 nHn; 52 RR)
% Number of literals : 321 ( 0 equ; 146 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 60 ( 44 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ p(fy(X0))
| ~ p(X0)
| ~ m3
| ~ m1 ) ).
cnf(clause_2,negated_conjecture,
( p(fy(X0))
| p(X0)
| ~ m3
| ~ m1 ) ).
cnf(clause_3,negated_conjecture,
( p(X0)
| m3
| ~ p(cx)
| ~ m1 ) ).
cnf(clause_4,negated_conjecture,
( p(cx)
| m3
| ~ p(X0)
| ~ m1 ) ).
cnf(clause_5,negated_conjecture,
( q(X0)
| ~ q(cw)
| ~ m3
| ~ m2 ) ).
cnf(clause_6,negated_conjecture,
( q(cw)
| ~ q(X0)
| ~ m3
| ~ m2 ) ).
cnf(clause_7,negated_conjecture,
( m3
| ~ q(fz5(X0))
| ~ q(X0)
| ~ m2 ) ).
cnf(clause_8,negated_conjecture,
( q(fz5(X0))
| q(X0)
| m3
| ~ m2 ) ).
cnf(clause_9,negated_conjecture,
( p(X0)
| m1
| ~ p(cx)
| ~ m3 ) ).
cnf(clause_10,negated_conjecture,
( p(cx)
| m1
| ~ p(X0)
| ~ m3 ) ).
cnf(clause_11,negated_conjecture,
( m2
| ~ q(fz2(X0))
| ~ q(X0)
| ~ m3 ) ).
cnf(clause_12,negated_conjecture,
( q(fz2(X0))
| q(X0)
| m2
| ~ m3 ) ).
cnf(clause_13,negated_conjecture,
( m3
| m1
| ~ p(fy3(X0))
| ~ p(X0) ) ).
cnf(clause_14,negated_conjecture,
( q(X0)
| m3
| m2
| ~ q(cw) ) ).
cnf(clause_15,negated_conjecture,
( q(cw)
| m3
| m2
| ~ q(X0) ) ).
cnf(clause_16,negated_conjecture,
( p(fy3(X0))
| p(X0)
| m3
| m1 ) ).
cnf(clause_17,negated_conjecture,
( q(X1)
| ~ q(X0)
| ~ m1 ) ).
cnf(clause_18,negated_conjecture,
( p(X1)
| ~ p(X0)
| ~ m2 ) ).
cnf(clause_19,negated_conjecture,
( m2
| ~ p(cvv) ) ).
cnf(clause_20,negated_conjecture,
( m1
| ~ q(cuu) ) ).
cnf(clause_21,negated_conjecture,
( p(cv)
| m2 ) ).
cnf(clause_22,negated_conjecture,
( q(cu)
| m1 ) ).
cnf(c0,plain,
( ~ p(fy(X0))
| ~ p(X0)
| ~ m3
| ~ m1 ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( p(fy(X0))
| p(X0)
| ~ m3
| ~ m1 ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( p(X0)
| m3
| ~ p(cx)
| ~ m1 ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( p(cx)
| m3
| ~ p(X0)
| ~ m1 ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( q(X0)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( q(cw)
| ~ q(X0)
| ~ m3
| ~ m2 ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( m3
| ~ q(fz5(X0))
| ~ q(X0)
| ~ m2 ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c7,plain,
( q(fz5(X0))
| q(X0)
| m3
| ~ m2 ),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c8,plain,
( p(X0)
| m1
| ~ p(cx)
| ~ m3 ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c9,plain,
( p(cx)
| m1
| ~ p(X0)
| ~ m3 ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c10,plain,
( m2
| ~ q(fz2(X0))
| ~ q(X0)
| ~ m3 ),
inference(clausification,[status(esa)],[clause_11]) ).
cnf(c11,plain,
( q(fz2(X0))
| q(X0)
| m2
| ~ m3 ),
inference(clausification,[status(esa)],[clause_12]) ).
cnf(c12,plain,
( m3
| m1
| ~ p(fy3(X0))
| ~ p(X0) ),
inference(clausification,[status(esa)],[clause_13]) ).
cnf(c13,plain,
( q(X0)
| m3
| m2
| ~ q(cw) ),
inference(clausification,[status(esa)],[clause_14]) ).
cnf(c14,plain,
( q(cw)
| m3
| m2
| ~ q(X0) ),
inference(clausification,[status(esa)],[clause_15]) ).
cnf(c15,plain,
( p(fy3(X0))
| p(X0)
| m3
| m1 ),
inference(clausification,[status(esa)],[clause_16]) ).
cnf(c16,plain,
( q(X1)
| ~ q(X0)
| ~ m1 ),
inference(clausification,[status(esa)],[clause_17]) ).
cnf(c17,plain,
( p(X1)
| ~ p(X0)
| ~ m2 ),
inference(clausification,[status(esa)],[clause_18]) ).
cnf(c18,plain,
( m2
| ~ p(cvv) ),
inference(clausification,[status(esa)],[clause_19]) ).
cnf(c19,plain,
( m1
| ~ q(cuu) ),
inference(clausification,[status(esa)],[clause_20]) ).
cnf(c20,plain,
( p(cv)
| m2 ),
inference(clausification,[status(esa)],[clause_21]) ).
cnf(c21,plain,
( q(cu)
| m1 ),
inference(clausification,[status(esa)],[clause_22]) ).
cnf(d0,plain,
( ~ m3
| ~ m1
| p(X1)
| ~ m2
| p(X0) ),
inference(resolution,[status(thm)],[c17,c1]) ).
cnf(d1,plain,
( ~ m2
| ~ m3
| ~ m1
| p(X0) ),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ m3
| ~ m1
| ~ p(X0)
| ~ m2
| ~ m3
| ~ m1 ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ m2
| ~ m3
| ~ m1
| ~ m2
| ~ m3
| ~ m1 ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( m1
| q(cw)
| m2
| m3 ),
inference(resolution,[status(thm)],[c14,c21]) ).
cnf(d5,plain,
( q(X0)
| m2
| m3
| m2
| m3
| m1 ),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d6,plain,
( m1
| m2
| m3
| m1 ),
inference(resolution,[status(thm)],[d5,c19]) ).
cnf(d7,plain,
( ~ m2
| p(X1)
| m3
| m1
| p(X0) ),
inference(resolution,[status(thm)],[c15,c17]) ).
cnf(d8,plain,
( ~ m2
| m3
| m1
| p(X0) ),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
( m3
| m1
| ~ p(X0)
| ~ m2
| m3
| m1 ),
inference(resolution,[status(thm)],[d8,c12]) ).
cnf(d10,plain,
( ~ m2
| m3
| m1
| ~ m2
| m3
| m1 ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( m3
| m1
| m3
| m1 ),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
( q(X1)
| ~ m1
| q(X0)
| ~ m2
| m3 ),
inference(resolution,[status(thm)],[c7,c16]) ).
cnf(d13,plain,
( q(X0)
| ~ m2
| m3
| ~ m1 ),
inference(factoring,[status(thm)],[d12]) ).
cnf(d14,plain,
( ~ q(X0)
| ~ m2
| m3
| ~ m2
| m3
| ~ m1 ),
inference(resolution,[status(thm)],[d13,c6]) ).
cnf(d15,plain,
( ~ m2
| m3
| ~ m1
| ~ m2
| m3
| ~ m1 ),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( m2
| m3
| ~ m1
| p(cx) ),
inference(resolution,[status(thm)],[c3,c20]) ).
cnf(d17,plain,
( m3
| ~ m1
| p(X0)
| m2
| m3
| ~ m1 ),
inference(resolution,[status(thm)],[d16,c2]) ).
cnf(d18,plain,
( m2
| m2
| m3
| ~ m1 ),
inference(resolution,[status(thm)],[d17,c18]) ).
cnf(d19,plain,
( m2
| m3
| m3 ),
inference(resolution,[status(thm)],[d11,d18]) ).
cnf(d20,plain,
( m3
| ~ m1
| m3 ),
inference(resolution,[status(thm)],[d19,d15]) ).
cnf(d21,plain,
( m3
| m3 ),
inference(resolution,[status(thm)],[d20,d11]) ).
cnf(d22,plain,
( ~ m2
| ~ m1 ),
inference(resolution,[status(thm)],[d21,d3]) ).
cnf(d23,plain,
( m1
| q(cw)
| ~ m2
| ~ m3 ),
inference(resolution,[status(thm)],[c5,c21]) ).
cnf(d24,plain,
( q(X0)
| ~ m2
| ~ m3
| ~ m2
| ~ m3
| m1 ),
inference(resolution,[status(thm)],[d23,c4]) ).
cnf(d25,plain,
( m1
| ~ m2
| ~ m3
| m1 ),
inference(resolution,[status(thm)],[d24,c19]) ).
cnf(d26,plain,
( ~ m2
| m1 ),
inference(resolution,[status(thm)],[d21,d25]) ).
cnf(d27,plain,
( m2
| ~ m3
| m1
| p(cx) ),
inference(resolution,[status(thm)],[c9,c20]) ).
cnf(d28,plain,
( ~ m3
| m1
| p(X0)
| m2
| ~ m3
| m1 ),
inference(resolution,[status(thm)],[d27,c8]) ).
cnf(d29,plain,
( m2
| m2
| ~ m3
| m1 ),
inference(resolution,[status(thm)],[d28,c18]) ).
cnf(d30,plain,
( m2
| m1 ),
inference(resolution,[status(thm)],[d21,d29]) ).
cnf(d31,plain,
( m1
| m1 ),
inference(resolution,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
~ m2,
inference(resolution,[status(thm)],[d31,d22]) ).
cnf(d33,plain,
( q(X1)
| ~ m1
| q(X0)
| m2
| ~ m3 ),
inference(resolution,[status(thm)],[c11,c16]) ).
cnf(d34,plain,
( q(X0)
| m2
| ~ m3
| ~ m1 ),
inference(factoring,[status(thm)],[d33]) ).
cnf(d35,plain,
( ~ q(X0)
| m2
| ~ m3
| m2
| ~ m3
| ~ m1 ),
inference(resolution,[status(thm)],[d34,c10]) ).
cnf(d36,plain,
( m2
| ~ m3
| ~ m1
| m2
| ~ m3
| ~ m1 ),
inference(resolution,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
( m2
| ~ m1 ),
inference(resolution,[status(thm)],[d21,d36]) ).
cnf(d38,plain,
m2,
inference(resolution,[status(thm)],[d31,d37]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[d38,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n017.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 17:01:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 9.74/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------