%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN586-1 : 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 : n005.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 09:29:08 AM UTC 2026
% Result : Unsatisfiable 17.02s 2.91s
% Output : CNFRefutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 53 ( 22 unt; 9 nHn; 47 RR)
% Number of literals : 113 ( 0 equ; 49 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_3,negated_conjecture,
p3(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p3_5,negated_conjecture,
p3(c21,c19) ).
cnf(not_p12_6,negated_conjecture,
~ p12(f13(c20),f13(c18)) ).
cnf(p3_12,negated_conjecture,
( ~ p3(X0,X1)
| p3(f11(X0),f11(X1)) ) ).
cnf(p3_15,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p15_17,negated_conjecture,
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ).
cnf(p2_20,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ) ).
cnf(p15_22,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20) ).
cnf(not_p15_23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) ).
cnf(p12_24,negated_conjecture,
( p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f14(X0,X1)),X0)
| p12(f13(X0),f13(c18)) ) ).
cnf(p12_25,negated_conjecture,
( ~ p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f11(f14(X0,X1))),X0)
| p12(f13(X0),f13(c18)) ) ).
cnf(p3_26,negated_conjecture,
( ~ p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X1),X2)
| ~ p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X0),X2)
| p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X0)),X2)
| p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X1)),X2)
| p12(f13(X2),f13(c18))
| p3(X0,X1) ) ).
cnf(c2,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_3]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p3(c21,c19),
inference(clausification,[status(esa)],[p3_5]) ).
cnf(c5,plain,
~ p12(f13(c20),f13(c18)),
inference(clausification,[status(esa)],[not_p12_6]) ).
cnf(c11,plain,
( ~ p3(X0,X1)
| p3(f11(X0),f11(X1)) ),
inference(clausification,[status(esa)],[p3_12]) ).
cnf(c14,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_15]) ).
cnf(c16,plain,
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_17]) ).
cnf(c17,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(clausification,[status(esa)],[p15_18]) ).
cnf(c19,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
inference(clausification,[status(esa)],[p2_20]) ).
cnf(c21,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(clausification,[status(esa)],[p15_22]) ).
cnf(c22,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(clausification,[status(esa)],[not_p15_23]) ).
cnf(c23,plain,
( p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f14(X0,X1)),X0)
| p12(f13(X0),f13(c18)) ),
inference(clausification,[status(esa)],[p12_24]) ).
cnf(c24,plain,
( ~ p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f11(f14(X0,X1))),X0)
| p12(f13(X0),f13(c18)) ),
inference(clausification,[status(esa)],[p12_25]) ).
cnf(c25,plain,
( p12(f13(X2),f13(c18))
| ~ p15(f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),X3),X2)
| p15(f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),f11(X3)),X2)
| p15(f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),f11(X1)),X2)
| p3(X3,X1)
| ~ p15(f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),X1),X2) ),
inference(clausification,[status(esa)],[p3_26]) ).
cnf(d0,plain,
( p15(X1,X0)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X1)
| ~ p2(c20,X0) ),
inference(resolution,[status(thm)],[c21,c16]) ).
cnf(d1,plain,
( ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1)
| ~ p3(f11(c21),X2)
| p15(f4(X1,X2),X0)
| ~ p2(c20,X0) ),
inference(resolution,[status(thm)],[d0,c19]) ).
cnf(d2,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),X1)
| ~ p2(c20,X1)
| ~ p3(f11(c21),X0) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ p2(c20,c20)
| ~ p3(f11(c21),f11(c19)) ),
inference(resolution,[status(thm)],[d2,c22]) ).
cnf(d4,plain,
~ p3(f11(c21),f11(c19)),
inference(resolution,[status(thm)],[c3,d3]) ).
cnf(d5,plain,
( p12(f13(X0),f13(c18))
| p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f11(f14(X0,X1))),X0)
| p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f11(X2)),X0)
| ~ p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),X2),X0)
| p3(f14(X0,X1),X2)
| p12(f13(X0),f13(c18)) ),
inference(resolution,[status(thm)],[c25,c23]) ).
cnf(d6,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,c16))),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| p3(f14(c20,c16),c19)
| p12(f13(c20),f13(c18)) ),
inference(resolution,[status(thm)],[d5,c22]) ).
cnf(d7,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,c16))),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| p3(f14(c20,c16),c19) ),
inference(resolution,[status(thm)],[c5,d6]) ).
cnf(d8,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,c16))),c20)
| p3(f14(c20,c16),c19) ),
inference(resolution,[status(thm)],[c17,d7]) ).
cnf(d9,plain,
( p12(f13(c20),f13(c18))
| p3(f14(c20,c16),c19) ),
inference(resolution,[status(thm)],[d8,c24]) ).
cnf(d10,plain,
p3(f14(c20,c16),c19),
inference(resolution,[status(thm)],[c5,d9]) ).
cnf(d11,plain,
( ~ p3(X2,X0)
| ~ p3(f11(X2),X1)
| p3(f11(X0),X1) ),
inference(resolution,[status(thm)],[c14,c11]) ).
cnf(d12,plain,
( p3(f11(X1),f11(X0))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
( p3(f11(X2),f11(X0))
| ~ p3(X1,X2)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( ~ p3(c21,X0)
| p3(c19,X0) ),
inference(resolution,[status(thm)],[c14,c4]) ).
cnf(d15,plain,
p3(c19,c21),
inference(resolution,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
( ~ p3(c19,X0)
| p3(c21,X0) ),
inference(resolution,[status(thm)],[d15,c14]) ).
cnf(d17,plain,
( ~ p3(f14(c20,c16),X0)
| p3(c19,X0) ),
inference(resolution,[status(thm)],[d10,c14]) ).
cnf(d18,plain,
p3(c19,f14(c20,c16)),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
p3(c21,f14(c20,c16)),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
( p3(f11(X0),f11(c21))
| ~ p3(f14(c20,c16),X0) ),
inference(resolution,[status(thm)],[d19,d13]) ).
cnf(d21,plain,
p3(f11(c19),f11(c21)),
inference(resolution,[status(thm)],[d20,d10]) ).
cnf(d22,plain,
( ~ p3(f11(c19),X0)
| p3(f11(c21),X0) ),
inference(resolution,[status(thm)],[d21,c14]) ).
cnf(d23,plain,
p3(f11(c21),f11(c19)),
inference(resolution,[status(thm)],[d22,c2]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d23,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:14:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.02/2.91 % SZS status Unsatisfiable for theBenchmark.p
% 17.02/2.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------