%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:29:13 AM UTC 2026
% Result : Unsatisfiable 15.83s 2.37s
% Output : CNFRefutation 15.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 47 ( 21 unt; 8 nHn; 43 RR)
% Number of literals : 108 ( 0 equ; 55 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_2,negated_conjecture,
p8(X0,X0) ).
cnf(p3_5,negated_conjecture,
p3(X0,X0) ).
cnf(p18_10,negated_conjecture,
p18(c26,c25) ).
cnf(p3_11,negated_conjecture,
p3(c22,c23) ).
cnf(p2_12,negated_conjecture,
p2(c24,c25) ).
cnf(not_p16_13,negated_conjecture,
~ p16(c22,c21) ).
cnf(p3_14,negated_conjecture,
p3(c23,f4(c24,c20)) ).
cnf(p16_15,negated_conjecture,
p16(f4(c19,c20),c21) ).
cnf(p3_20,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p16_25,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X0),X1)
| p16(f4(c25,X0),X1) ) ).
cnf(p16_26,negated_conjecture,
( ~ p16(X2,X3)
| ~ p8(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ) ).
cnf(p16_34,negated_conjecture,
( ~ p16(f4(X3,f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| ~ p16(f4(c19,X1),X2)
| ~ p18(c26,X3)
| ~ p2(X0,X3)
| p16(f4(X0,X1),X2) ) ).
cnf(p16_35,negated_conjecture,
( ~ p16(f4(c19,X1),X2)
| ~ p18(c26,X3)
| ~ p2(X0,X3)
| p16(f4(f6(c27,X3),f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| p16(f4(X0,X1),X2) ) ).
cnf(c1,plain,
p8(X0,X0),
inference(clausification,[status(esa)],[p8_2]) ).
cnf(c4,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_5]) ).
cnf(c9,plain,
p18(c26,c25),
inference(clausification,[status(esa)],[p18_10]) ).
cnf(c10,plain,
p3(c22,c23),
inference(clausification,[status(esa)],[p3_11]) ).
cnf(c11,plain,
p2(c24,c25),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c12,plain,
~ p16(c22,c21),
inference(clausification,[status(esa)],[not_p16_13]) ).
cnf(c13,plain,
p3(c23,f4(c24,c20)),
inference(clausification,[status(esa)],[p3_14]) ).
cnf(c14,plain,
p16(f4(c19,c20),c21),
inference(clausification,[status(esa)],[p16_15]) ).
cnf(c19,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_20]) ).
cnf(c24,plain,
( ~ p16(f4(f6(c27,c25),X0),X1)
| p16(f4(c25,X0),X1) ),
inference(clausification,[status(esa)],[p16_25]) ).
cnf(c25,plain,
( ~ p16(X2,X3)
| ~ p8(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ),
inference(clausification,[status(esa)],[p16_26]) ).
cnf(c33,plain,
( ~ p16(f4(X0,f13(f15(c28,X3),X0)),f9(f11(c29,X3),X0))
| p16(f4(X3,X1),X2)
| ~ p2(X3,X0)
| ~ p16(f4(c19,X1),X2)
| ~ p18(c26,X0) ),
inference(clausification,[status(esa)],[p16_34]) ).
cnf(c34,plain,
( ~ p18(c26,X3)
| p16(f4(f6(c27,X3),f13(f15(c28,X2),X3)),f9(f11(c29,X2),X3))
| ~ p2(X2,X3)
| p16(f4(X2,X0),X1)
| ~ p16(f4(c19,X0),X1) ),
inference(clausification,[status(esa)],[p16_35]) ).
cnf(d0,plain,
( ~ p3(c22,X0)
| p3(c23,X0) ),
inference(resolution,[status(thm)],[c19,c10]) ).
cnf(d1,plain,
p3(c23,c22),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ p3(c23,X0)
| p3(c22,X0) ),
inference(resolution,[status(thm)],[d1,c19]) ).
cnf(d3,plain,
p3(c22,f4(c24,c20)),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
( ~ p3(c23,X0)
| p3(f4(c24,c20),X0) ),
inference(resolution,[status(thm)],[c19,c13]) ).
cnf(d5,plain,
( ~ p3(c22,X0)
| p3(f4(c24,c20),X0) ),
inference(resolution,[status(thm)],[d3,c19]) ).
cnf(d6,plain,
( ~ p3(f4(c24,c20),X1)
| p3(X0,X1)
| ~ p3(c22,X0) ),
inference(resolution,[status(thm)],[d5,c19]) ).
cnf(d7,plain,
( ~ p3(c23,X1)
| ~ p3(c22,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ p3(c22,X0)
| p3(X0,c22) ),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
p3(f4(c24,c20),c22),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( p16(f4(f6(c27,X1),f13(f15(c28,X0),X1)),f9(f11(c29,X0),X1))
| p16(f4(X0,c20),c21)
| ~ p18(c26,X1)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c34,c14]) ).
cnf(d11,plain,
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| p16(f4(X0,c20),c21)
| ~ p18(c26,c25)
| ~ p2(X0,c25) ),
inference(resolution,[status(thm)],[d10,c24]) ).
cnf(d12,plain,
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| p16(f4(X0,c20),c21)
| ~ p2(X0,c25) ),
inference(resolution,[status(thm)],[c9,d11]) ).
cnf(d13,plain,
( ~ p16(f4(c19,X1),X2)
| p16(f4(X0,X1),X2)
| ~ p18(c26,c25)
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21)
| ~ p2(X0,c25) ),
inference(resolution,[status(thm)],[d12,c33]) ).
cnf(d14,plain,
( ~ p16(f4(c19,X1),X2)
| p16(f4(X0,c20),c21)
| p16(f4(X0,X1),X2)
| ~ p2(X0,c25) ),
inference(resolution,[status(thm)],[c9,d13]) ).
cnf(d15,plain,
( p16(f4(X0,c20),c21)
| p16(f4(X0,c20),c21)
| ~ p2(X0,c25) ),
inference(resolution,[status(thm)],[d14,c14]) ).
cnf(d16,plain,
( p16(X2,X1)
| ~ p3(f4(X0,c20),X2)
| ~ p8(c21,X1)
| ~ p2(X0,c25) ),
inference(resolution,[status(thm)],[d15,c25]) ).
cnf(d17,plain,
( p16(c22,X0)
| ~ p2(c24,c25)
| ~ p8(c21,X0) ),
inference(resolution,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
( p16(c22,X0)
| ~ p8(c21,X0) ),
inference(resolution,[status(thm)],[c11,d17]) ).
cnf(d19,plain,
p16(c22,c21),
inference(resolution,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[c12,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 18:19:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.83/2.37 % SZS status Unsatisfiable for theBenchmark.p
% 15.83/2.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------