%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN618-1 : 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 : 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 09:29:12 AM UTC 2026
% Result : Unsatisfiable 12.65s 8.58s
% Output : CNFRefutation 12.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 18 unt; 0 nHn; 30 RR)
% Number of literals : 69 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_3,negated_conjecture,
p5(X0,X0) ).
cnf(p2_5,negated_conjecture,
p2(X0,X0) ).
cnf(p13_8,negated_conjecture,
p13(c23,c21) ).
cnf(p13_9,negated_conjecture,
p13(c19,c23) ).
cnf(p2_12,negated_conjecture,
p2(c17,f3(c16)) ).
cnf(p5_16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))) ).
cnf(not_p5_17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))) ).
cnf(p5_22,negated_conjecture,
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ) ).
cnf(p2_24,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p5_30,negated_conjecture,
( ~ p5(X1,X3)
| ~ p2(X0,X2)
| p5(f8(X0,X1),f8(X2,X3)) ) ).
cnf(p5_31,negated_conjecture,
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| p5(X0,c20) ) ).
cnf(c2,plain,
p5(X0,X0),
inference(clausification,[status(esa)],[p5_3]) ).
cnf(c4,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c7,plain,
p13(c23,c21),
inference(clausification,[status(esa)],[p13_8]) ).
cnf(c8,plain,
p13(c19,c23),
inference(clausification,[status(esa)],[p13_9]) ).
cnf(c11,plain,
p2(c17,f3(c16)),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c15,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(clausification,[status(esa)],[p5_16]) ).
cnf(c16,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(clausification,[status(esa)],[not_p5_17]) ).
cnf(c21,plain,
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
inference(clausification,[status(esa)],[p5_22]) ).
cnf(c23,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_24]) ).
cnf(c29,plain,
( ~ p5(X1,X3)
| ~ p2(X0,X2)
| p5(f8(X0,X1),f8(X2,X3)) ),
inference(clausification,[status(esa)],[p5_30]) ).
cnf(c30,plain,
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| p5(X0,c20) ),
inference(clausification,[status(esa)],[p5_31]) ).
cnf(d0,plain,
( ~ p5(f8(X2,X0),X4)
| p5(f8(X3,X1),X4)
| ~ p2(X2,X3)
| ~ p5(X0,X1) ),
inference(resolution,[status(thm)],[c29,c21]) ).
cnf(d1,plain,
( ~ p2(f3(c16),X1)
| p5(f8(X1,X0),f6(f7(c22)))
| ~ p5(c23,X0) ),
inference(resolution,[status(thm)],[d0,c15]) ).
cnf(d2,plain,
( ~ p13(c19,X0)
| ~ p13(X0,c21)
| p5(X0,c20)
| ~ p2(f3(c16),c17)
| ~ p5(c23,X0) ),
inference(resolution,[status(thm)],[d1,c30]) ).
cnf(d3,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c23,c4]) ).
cnf(d4,plain,
p2(f3(c16),c17),
inference(resolution,[status(thm)],[d3,c11]) ).
cnf(d5,plain,
( ~ p13(c19,X0)
| ~ p13(X0,c21)
| ~ p5(c23,X0)
| p5(X0,c20) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ p13(c23,c21)
| ~ p5(c23,c23)
| p5(c23,c20) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
( ~ p13(c23,c21)
| p5(c23,c20) ),
inference(resolution,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
p5(c23,c20),
inference(resolution,[status(thm)],[c7,d7]) ).
cnf(d9,plain,
( ~ p2(f3(c16),f3(c16))
| ~ p5(c23,c20) ),
inference(resolution,[status(thm)],[d1,c16]) ).
cnf(d10,plain,
~ p5(c23,c20),
inference(resolution,[status(thm)],[c4,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n017.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 18:12:25 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.65/8.58 % SZS status Unsatisfiable for theBenchmark.p
% 12.65/8.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------