%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN632-1 : 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 : n016.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 09:29:14 AM UTC 2026
% Result : Unsatisfiable 23.81s 8.79s
% Output : CNFRefutation 23.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 40 ( 10 unt; 0 nHn; 32 RR)
% Number of literals : 91 ( 0 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 93 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
p4(X0,X0) ).
cnf(p3_6,negated_conjecture,
p3(X0,X0) ).
cnf(p2_7,negated_conjecture,
p2(X0,X0) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p21_23,negated_conjecture,
( ~ p21(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p21(X0,X1) ) ).
cnf(p21_24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27) ).
cnf(p4_31,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ) ).
cnf(p3_33,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| p3(X0,X1) ) ).
cnf(p21_34,negated_conjecture,
( ~ p3(X1,X2)
| p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2) ) ).
cnf(not_p21_35,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27)
| ~ p21(f5(c22,c23),X0) ) ).
cnf(p21_36,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X0),X2),X3)
| p21(f5(X0,f14(f16(f18(f20(c29,X1),X2),X0),X3)),X3) ) ).
cnf(p21_38,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
| p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ) ).
cnf(c4,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_5]) ).
cnf(c5,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_6]) ).
cnf(c6,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c16,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_17]) ).
cnf(c22,plain,
( ~ p21(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p21(X0,X1) ),
inference(clausification,[status(esa)],[p21_23]) ).
cnf(c23,plain,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
inference(clausification,[status(esa)],[p21_24]) ).
cnf(c30,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(clausification,[status(esa)],[p4_31]) ).
cnf(c32,plain,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_33]) ).
cnf(c33,plain,
( ~ p3(X1,X2)
| p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2) ),
inference(clausification,[status(esa)],[p21_34]) ).
cnf(c34,plain,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27)
| ~ p21(f5(c22,c23),X0) ),
inference(clausification,[status(esa)],[not_p21_35]) ).
cnf(c35,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X0),X2),X3)
| p21(f5(X0,f14(f16(f18(f20(c29,X1),X2),X0),X3)),X3) ),
inference(clausification,[status(esa)],[p21_36]) ).
cnf(c37,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
| p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ),
inference(clausification,[status(esa)],[p21_38]) ).
cnf(d0,plain,
( ~ p3(X0,c27)
| ~ p21(f5(c22,c23),X0) ),
inference(resolution,[status(thm)],[c34,c33]) ).
cnf(d1,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c16,c5]) ).
cnf(d2,plain,
( p3(X1,f14(f16(f18(f20(c29,f12(c25,c26)),X1),X0),X2))
| ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),X0),X1),X2) ),
inference(resolution,[status(thm)],[c37,c32]) ).
cnf(d3,plain,
( p21(X0,X1)
| ~ p3(c27,X1)
| ~ p4(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),X0) ),
inference(resolution,[status(thm)],[c23,c22]) ).
cnf(d4,plain,
( p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),X0)
| ~ p3(c27,X0) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),X0))
| ~ p3(c27,X0) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),X0),c23)
| ~ p3(c27,X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( p21(X4,X5)
| ~ p3(X3,X5)
| ~ p4(f5(X1,f14(f16(f18(f20(c29,X0),X2),X1),X3)),X4)
| ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3) ),
inference(resolution,[status(thm)],[c35,c22]) ).
cnf(d8,plain,
( ~ p2(X5,X2)
| ~ p3(f14(f16(f18(f20(c29,X4),X6),X5),X0),X3)
| ~ p21(f5(f7(f10(c24,f12(c28,X4)),X5),X6),X0)
| p21(f5(X2,X3),X1)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d7,c30]) ).
cnf(d9,plain,
( ~ p3(c27,X0)
| p21(f5(X3,X2),X1)
| ~ p2(c22,X3)
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),X0),X2)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( ~ p3(c27,X0)
| p21(f5(X2,c23),X1)
| ~ p2(c22,X2)
| ~ p3(c27,X0)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( p21(f5(c22,c23),X1)
| ~ p3(c27,X0)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d10,c6]) ).
cnf(d12,plain,
( p21(f5(c22,c23),X0)
| ~ p3(c27,X0) ),
inference(resolution,[status(thm)],[d11,c5]) ).
cnf(d13,plain,
( ~ p3(X0,c27)
| ~ p3(c27,X0) ),
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
~ p3(c27,c27),
inference(resolution,[status(thm)],[d13,c5]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c5,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.67 % Computer : n016.cluster.edu
% 0.18/5.67 % Model : x86_64 x86_64
% 0.18/5.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.67 % Memory : 8046.5625MB
% 0.18/5.67 % OS : Linux 6.8.0-71-generic
% 0.18/5.67 % CPULimit : 300
% 0.18/5.67 % WCLimit : 300
% 0.18/5.67 % DateTime : Sat Sep 26 18:22:36 UTC 2026
% 0.18/5.67 % CPUTime :
% 0.18/5.67 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.81/8.79 % SZS status Unsatisfiable for theBenchmark.p
% 23.81/8.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------