%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN036-3 : 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 : n009.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 10.45s 1.78s
% Output : CNFRefutation 10.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 30
% Syntax : Number of clauses : 119 ( 4 unt; 49 nHn; 97 RR)
% Number of literals : 337 ( 0 equ; 132 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 50 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ) ).
cnf(clause_4,negated_conjecture,
( n10
| n6
| n9
| n2 ) ).
cnf(clause_6,negated_conjecture,
( ~ n10
| n6
| n9
| ~ n2 ) ).
cnf(clause_7,negated_conjecture,
( n10
| ~ n6
| ~ n9
| n2 ) ).
cnf(clause_9,negated_conjecture,
( n8
| ~ p(s8) ) ).
cnf(clause_10,negated_conjecture,
( p(X0)
| ~ n8 ) ).
cnf(clause_11,negated_conjecture,
( n7
| ~ p(X0) ) ).
cnf(clause_12,negated_conjecture,
( p(s7)
| ~ n7 ) ).
cnf(clause_13,negated_conjecture,
( n6
| ~ n5(X0) ) ).
cnf(clause_14,negated_conjecture,
( n5(s6)
| ~ n6 ) ).
cnf(clause_15,negated_conjecture,
( n5(X0)
| ~ q(s5(X0))
| ~ q(X0) ) ).
cnf(clause_16,negated_conjecture,
( n5(X0)
| q(s5(X0))
| q(X0) ) ).
cnf(clause_17,negated_conjecture,
( q(X1)
| ~ q(X0)
| ~ n5(X0) ) ).
cnf(clause_18,negated_conjecture,
( ~ q(X1)
| q(X0)
| ~ n5(X0) ) ).
cnf(clause_19,negated_conjecture,
( n4
| ~ q(s4) ) ).
cnf(clause_20,negated_conjecture,
( q(X0)
| ~ n4 ) ).
cnf(clause_21,negated_conjecture,
( n3
| ~ q(X0) ) ).
cnf(clause_22,negated_conjecture,
( q(s3)
| ~ n3 ) ).
cnf(clause_23,negated_conjecture,
( n2
| ~ n1(X0) ) ).
cnf(clause_24,negated_conjecture,
( n1(s2)
| ~ n2 ) ).
cnf(clause_25,negated_conjecture,
( n1(X0)
| ~ p(s1(X0))
| ~ p(X0) ) ).
cnf(clause_26,negated_conjecture,
( n1(X0)
| p(s1(X0))
| p(X0) ) ).
cnf(clause_27,negated_conjecture,
( p(X1)
| ~ p(X0)
| ~ n1(X0) ) ).
cnf(clause_28,negated_conjecture,
( ~ p(X1)
| p(X0)
| ~ n1(X0) ) ).
cnf(clause_29,negated_conjecture,
( n9
| ~ n4
| ~ n3 ) ).
cnf(clause_30,negated_conjecture,
( n9
| n4
| n3 ) ).
cnf(clause_31,negated_conjecture,
( ~ n9
| n4
| ~ n3 ) ).
cnf(clause_33,negated_conjecture,
( n10
| ~ n8
| ~ n7 ) ).
cnf(clause_34,negated_conjecture,
( n10
| n8
| n7 ) ).
cnf(clause_35,negated_conjecture,
( ~ n10
| n8
| ~ n7 ) ).
cnf(c0,plain,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c3,plain,
( n10
| n6
| n9
| n2 ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c5,plain,
( ~ n10
| n6
| n9
| ~ n2 ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( n10
| ~ n6
| ~ n9
| n2 ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c8,plain,
( n8
| ~ p(s8) ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c9,plain,
( p(X0)
| ~ n8 ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c10,plain,
( n7
| ~ p(X0) ),
inference(clausification,[status(esa)],[clause_11]) ).
cnf(c11,plain,
( p(s7)
| ~ n7 ),
inference(clausification,[status(esa)],[clause_12]) ).
cnf(c12,plain,
( n6
| ~ n5(X0) ),
inference(clausification,[status(esa)],[clause_13]) ).
cnf(c13,plain,
( n5(s6)
| ~ n6 ),
inference(clausification,[status(esa)],[clause_14]) ).
cnf(c14,plain,
( n5(X0)
| ~ q(s5(X0))
| ~ q(X0) ),
inference(clausification,[status(esa)],[clause_15]) ).
cnf(c15,plain,
( n5(X0)
| q(s5(X0))
| q(X0) ),
inference(clausification,[status(esa)],[clause_16]) ).
cnf(c16,plain,
( q(X1)
| ~ q(X0)
| ~ n5(X0) ),
inference(clausification,[status(esa)],[clause_17]) ).
cnf(c17,plain,
( ~ q(X1)
| q(X0)
| ~ n5(X0) ),
inference(clausification,[status(esa)],[clause_18]) ).
cnf(c18,plain,
( n4
| ~ q(s4) ),
inference(clausification,[status(esa)],[clause_19]) ).
cnf(c19,plain,
( q(X0)
| ~ n4 ),
inference(clausification,[status(esa)],[clause_20]) ).
cnf(c20,plain,
( n3
| ~ q(X0) ),
inference(clausification,[status(esa)],[clause_21]) ).
cnf(c21,plain,
( q(s3)
| ~ n3 ),
inference(clausification,[status(esa)],[clause_22]) ).
cnf(c22,plain,
( n2
| ~ n1(X0) ),
inference(clausification,[status(esa)],[clause_23]) ).
cnf(c23,plain,
( n1(s2)
| ~ n2 ),
inference(clausification,[status(esa)],[clause_24]) ).
cnf(c24,plain,
( n1(X0)
| ~ p(s1(X0))
| ~ p(X0) ),
inference(clausification,[status(esa)],[clause_25]) ).
cnf(c25,plain,
( n1(X0)
| p(s1(X0))
| p(X0) ),
inference(clausification,[status(esa)],[clause_26]) ).
cnf(c26,plain,
( p(X1)
| ~ p(X0)
| ~ n1(X0) ),
inference(clausification,[status(esa)],[clause_27]) ).
cnf(c27,plain,
( ~ p(X1)
| p(X0)
| ~ n1(X0) ),
inference(clausification,[status(esa)],[clause_28]) ).
cnf(c28,plain,
( n9
| ~ n4
| ~ n3 ),
inference(clausification,[status(esa)],[clause_29]) ).
cnf(c29,plain,
( n9
| n4
| n3 ),
inference(clausification,[status(esa)],[clause_30]) ).
cnf(c30,plain,
( ~ n9
| n4
| ~ n3 ),
inference(clausification,[status(esa)],[clause_31]) ).
cnf(c32,plain,
( n10
| ~ n8
| ~ n7 ),
inference(clausification,[status(esa)],[clause_33]) ).
cnf(c33,plain,
( n10
| n8
| n7 ),
inference(clausification,[status(esa)],[clause_34]) ).
cnf(c34,plain,
( ~ n10
| n8
| ~ n7 ),
inference(clausification,[status(esa)],[clause_35]) ).
cnf(d0,plain,
( n3
| q(X0)
| n5(X0) ),
inference(resolution,[status(thm)],[c15,c20]) ).
cnf(d1,plain,
( n6
| n3
| q(X0) ),
inference(resolution,[status(thm)],[d0,c12]) ).
cnf(d2,plain,
( n3
| n3
| n6 ),
inference(resolution,[status(thm)],[d1,c20]) ).
cnf(d3,plain,
( n4
| ~ n9
| n6 ),
inference(resolution,[status(thm)],[d2,c30]) ).
cnf(d4,plain,
( ~ n3
| q(X0)
| ~ n5(X0) ),
inference(resolution,[status(thm)],[c17,c21]) ).
cnf(d5,plain,
( ~ n6
| ~ n3
| q(s6) ),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d6,plain,
( q(X0)
| ~ n5(s6)
| ~ n3
| ~ n6 ),
inference(resolution,[status(thm)],[d5,c16]) ).
cnf(d7,plain,
( ~ n6
| ~ n3
| q(X0)
| ~ n6 ),
inference(resolution,[status(thm)],[d6,c13]) ).
cnf(d8,plain,
( n4
| ~ n3
| ~ n6 ),
inference(resolution,[status(thm)],[d7,c18]) ).
cnf(d9,plain,
( n4
| n9
| n4
| ~ n6 ),
inference(resolution,[status(thm)],[d8,c29]) ).
cnf(d10,plain,
( ~ n2
| ~ p(s2)
| p(X0) ),
inference(resolution,[status(thm)],[c26,c23]) ).
cnf(d11,plain,
( ~ n2
| p(s2)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c27,c23]) ).
cnf(d12,plain,
( ~ n7
| p(s2)
| ~ n2 ),
inference(resolution,[status(thm)],[d11,c11]) ).
cnf(d13,plain,
( p(X0)
| ~ n2
| ~ n7
| ~ n2 ),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
( n8
| ~ n7
| ~ n2 ),
inference(resolution,[status(thm)],[d13,c8]) ).
cnf(d15,plain,
( n8
| n10
| n8
| ~ n2 ),
inference(resolution,[status(thm)],[d14,c33]) ).
cnf(d16,plain,
( n9
| n6
| n10
| n8
| n10 ),
inference(resolution,[status(thm)],[d15,c3]) ).
cnf(d17,plain,
( n7
| ~ n8 ),
inference(resolution,[status(thm)],[c9,c10]) ).
cnf(d18,plain,
( n7
| n9
| n6
| n10 ),
inference(resolution,[status(thm)],[d16,d17]) ).
cnf(d19,plain,
( ~ n8
| n10
| n9
| n6
| n10 ),
inference(resolution,[status(thm)],[d18,c32]) ).
cnf(d20,plain,
( n9
| n6
| n10
| n9
| n6
| n10 ),
inference(resolution,[status(thm)],[d19,d16]) ).
cnf(d21,plain,
( n4
| n9
| n9
| n10 ),
inference(resolution,[status(thm)],[d20,d9]) ).
cnf(d22,plain,
( n3
| ~ n4 ),
inference(resolution,[status(thm)],[c19,c20]) ).
cnf(d23,plain,
( n3
| n9
| n10 ),
inference(resolution,[status(thm)],[d21,d22]) ).
cnf(d24,plain,
( ~ n4
| n9
| n9
| n10 ),
inference(resolution,[status(thm)],[d23,c28]) ).
cnf(d25,plain,
( n9
| n10
| n9
| n10 ),
inference(resolution,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
( n2
| ~ n6
| n10
| n10 ),
inference(resolution,[status(thm)],[d25,c6]) ).
cnf(d27,plain,
( ~ q(X0)
| n5(X0)
| ~ n4 ),
inference(resolution,[status(thm)],[c19,c14]) ).
cnf(d28,plain,
( ~ n4
| ~ n4
| n5(X0) ),
inference(resolution,[status(thm)],[d27,c19]) ).
cnf(d29,plain,
( n6
| ~ n4 ),
inference(resolution,[status(thm)],[d28,c12]) ).
cnf(d30,plain,
( n4
| n6
| n10 ),
inference(resolution,[status(thm)],[d25,d3]) ).
cnf(d31,plain,
( n6
| n6
| n10 ),
inference(resolution,[status(thm)],[d30,d29]) ).
cnf(d32,plain,
( n2
| n10
| n10 ),
inference(resolution,[status(thm)],[d31,d26]) ).
cnf(d33,plain,
( n8
| n10
| n10 ),
inference(resolution,[status(thm)],[d32,d15]) ).
cnf(d34,plain,
( n7
| n10 ),
inference(resolution,[status(thm)],[d33,d17]) ).
cnf(d35,plain,
( ~ n8
| n10
| n10 ),
inference(resolution,[status(thm)],[d34,c32]) ).
cnf(d36,plain,
( n10
| n10 ),
inference(resolution,[status(thm)],[d35,d33]) ).
cnf(d37,plain,
( ~ n2
| n9
| n6 ),
inference(resolution,[status(thm)],[d36,c5]) ).
cnf(d38,plain,
( ~ n8
| n1(X0)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c24,c9]) ).
cnf(d39,plain,
( ~ n8
| n1(X0)
| ~ n8 ),
inference(resolution,[status(thm)],[d38,c9]) ).
cnf(d40,plain,
( n2
| ~ n8 ),
inference(resolution,[status(thm)],[d39,c22]) ).
cnf(d41,plain,
( n7
| n1(X0)
| p(X0) ),
inference(resolution,[status(thm)],[c25,c10]) ).
cnf(d42,plain,
( n2
| n7
| p(X0) ),
inference(resolution,[status(thm)],[d41,c22]) ).
cnf(d43,plain,
( n7
| n7
| n2 ),
inference(resolution,[status(thm)],[d42,c10]) ).
cnf(d44,plain,
( n8
| ~ n10
| n2 ),
inference(resolution,[status(thm)],[d43,c34]) ).
cnf(d45,plain,
( n8
| n2 ),
inference(resolution,[status(thm)],[d36,d44]) ).
cnf(d46,plain,
( n2
| n2 ),
inference(resolution,[status(thm)],[d45,d40]) ).
cnf(d47,plain,
( n9
| n6 ),
inference(resolution,[status(thm)],[d46,d37]) ).
cnf(d48,plain,
( n4
| n9
| n9 ),
inference(resolution,[status(thm)],[d47,d9]) ).
cnf(d49,plain,
( n3
| n9 ),
inference(resolution,[status(thm)],[d48,d22]) ).
cnf(d50,plain,
( ~ n4
| n9
| n9 ),
inference(resolution,[status(thm)],[d49,c28]) ).
cnf(d51,plain,
( n9
| n9 ),
inference(resolution,[status(thm)],[d50,d48]) ).
cnf(d52,plain,
( n4
| n6 ),
inference(resolution,[status(thm)],[d51,d3]) ).
cnf(d53,plain,
( ~ n2
| ~ n9
| ~ n6 ),
inference(resolution,[status(thm)],[d36,c0]) ).
cnf(d54,plain,
( ~ n9
| ~ n6 ),
inference(resolution,[status(thm)],[d46,d53]) ).
cnf(d55,plain,
~ n6,
inference(resolution,[status(thm)],[d51,d54]) ).
cnf(d56,plain,
n4,
inference(resolution,[status(thm)],[d55,d52]) ).
cnf(d57,plain,
~ n4,
inference(resolution,[status(thm)],[d55,d29]) ).
cnf(d58,plain,
$false,
inference(resolution,[status(thm)],[d57,d56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.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 17:04:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.45/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 10.45/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------