%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 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 09:29:10 AM UTC 2026
% Result : Unsatisfiable 1.13s 6.91s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 17 unt; 0 nHn; 31 RR)
% Number of literals : 97 ( 0 equ; 67 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0) ).
cnf(p9_2,negated_conjecture,
p9(X0,X0) ).
cnf(p3_3,negated_conjecture,
p3(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p3_7,negated_conjecture,
p3(c21,c22) ).
cnf(p12_20,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(p18_21,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) ).
cnf(not_p18_22,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ).
cnf(p18_24,negated_conjecture,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ) ).
cnf(p2_26,negated_conjecture,
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ) ).
cnf(p12_27,negated_conjecture,
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ) ).
cnf(p10_28,negated_conjecture,
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ) ).
cnf(c0,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_1]) ).
cnf(c1,plain,
p9(X0,X0),
inference(clausification,[status(esa)],[p9_2]) ).
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(c6,plain,
p3(c21,c22),
inference(clausification,[status(esa)],[p3_7]) ).
cnf(c19,plain,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_20]) ).
cnf(c20,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(clausification,[status(esa)],[p18_21]) ).
cnf(c21,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(clausification,[status(esa)],[not_p18_22]) ).
cnf(c23,plain,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
inference(clausification,[status(esa)],[p18_24]) ).
cnf(c25,plain,
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ),
inference(clausification,[status(esa)],[p2_26]) ).
cnf(c26,plain,
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ),
inference(clausification,[status(esa)],[p12_27]) ).
cnf(c27,plain,
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ),
inference(clausification,[status(esa)],[p10_28]) ).
cnf(d0,plain,
( ~ p12(f14(X2,X0),X4)
| p12(f14(X3,X1),X4)
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c26,c19]) ).
cnf(d1,plain,
( ~ p3(X0,X4)
| ~ p3(X2,X5)
| p12(f14(X1,X3),f14(X4,X5))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d0,c26]) ).
cnf(d2,plain,
( p12(f14(X3,X2),f14(X4,X1))
| ~ p3(X3,X4)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( p12(f14(X0,X2),f14(X1,c22))
| ~ p3(c21,X2)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
( p18(X1,X0)
| ~ p2(c20,X1)
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0) ),
inference(resolution,[status(thm)],[c23,c20]) ).
cnf(d5,plain,
( ~ p2(f13(f15(c20),f14(f4(c20),c21)),X1)
| ~ p9(c23,X2)
| ~ p10(c24,X3)
| p18(X0,f11(X1,X2,X3))
| ~ p2(c20,X0) ),
inference(resolution,[status(thm)],[d4,c27]) ).
cnf(d6,plain,
( ~ p12(f14(f4(c20),c21),X4)
| ~ p3(f15(c20),X3)
| p18(X2,f11(f13(X3,X4),X1,X0))
| ~ p2(c20,X2)
| ~ p9(c23,X1)
| ~ p10(c24,X0) ),
inference(resolution,[status(thm)],[d5,c25]) ).
cnf(d7,plain,
( ~ p12(f14(f4(c20),c21),f14(f4(c20),c22))
| ~ p2(c20,c20)
| ~ p3(f15(c20),f15(c20))
| ~ p9(c23,c23)
| ~ p10(c24,c24) ),
inference(resolution,[status(thm)],[d6,c21]) ).
cnf(d8,plain,
( ~ p12(f14(f4(c20),c21),f14(f4(c20),c22))
| ~ p2(c20,c20)
| ~ p3(f15(c20),f15(c20))
| ~ p9(c23,c23) ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( ~ p12(f14(f4(c20),c21),f14(f4(c20),c22))
| ~ p2(c20,c20)
| ~ p3(f15(c20),f15(c20)) ),
inference(resolution,[status(thm)],[c1,d8]) ).
cnf(d10,plain,
( ~ p12(f14(f4(c20),c21),f14(f4(c20),c22))
| ~ p2(c20,c20) ),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
~ p12(f14(f4(c20),c21),f14(f4(c20),c22)),
inference(resolution,[status(thm)],[c3,d10]) ).
cnf(d12,plain,
( ~ p3(c21,c21)
| ~ p3(f4(c20),f4(c20)) ),
inference(resolution,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
~ p3(f4(c20),f4(c20)),
inference(resolution,[status(thm)],[c2,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:10:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/6.91 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/6.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------