%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN616-1 : 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 09:29:12 AM UTC 2026
% Result : Unsatisfiable 14.70s 27.53s
% Output : CNFRefutation 14.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 11 unt; 0 nHn; 27 RR)
% Number of literals : 77 ( 0 equ; 55 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p2_7,negated_conjecture,
p2(c25,c28) ).
cnf(p2_17,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_27,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f12(X0,X1),f12(X2,X3)) ) ).
cnf(p2_28,negated_conjecture,
( ~ p2(X0,X2)
| ~ p2(X1,X3)
| p2(f7(X0,X1),f7(X2,X3)) ) ).
cnf(p14_29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)) ).
cnf(not_p14_30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)) ).
cnf(p14_31,negated_conjecture,
( ~ p14(X5,X4,X3)
| ~ p2(X5,X0)
| ~ p2(X4,X1)
| ~ p2(X3,X2)
| p14(X0,X1,X2) ) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c6,plain,
p2(c25,c28),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c16,plain,
( ~ p2(X0,X2)
| p2(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_17]) ).
cnf(c26,plain,
( ~ p2(X2,X3)
| p2(f12(X0,X2),f12(X1,X3))
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_27]) ).
cnf(c27,plain,
( ~ p2(X2,X3)
| p2(f7(X2,X0),f7(X3,X1))
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_28]) ).
cnf(c28,plain,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
inference(clausification,[status(esa)],[p14_29]) ).
cnf(c29,plain,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
inference(clausification,[status(esa)],[not_p14_30]) ).
cnf(c30,plain,
( ~ p2(X5,X2)
| ~ p14(X3,X4,X5)
| ~ p2(X4,X1)
| ~ p2(X3,X0)
| p14(X0,X1,X2) ),
inference(clausification,[status(esa)],[p14_31]) ).
cnf(d0,plain,
( ~ p2(f12(X0,X2),X4)
| p2(f12(X1,X3),X4)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c26,c16]) ).
cnf(d1,plain,
( p2(f12(X3,X1),f12(X2,X0))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( p14(X1,X0,X2)
| ~ p2(f6(c21),X2)
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),X1)
| ~ p2(f3(f5(c20)),X0) ),
inference(resolution,[status(thm)],[c30,c28]) ).
cnf(d3,plain,
( ~ p2(c22,X2)
| ~ p2(f12(f8(c21,f3(f5(c20))),c25),X3)
| p14(f7(X2,X3),X0,X1)
| ~ p2(f6(c21),X1)
| ~ p2(f3(f5(c20)),X0) ),
inference(resolution,[status(thm)],[d2,c27]) ).
cnf(d4,plain,
( ~ p2(X4,c25)
| ~ p2(X3,f8(c21,f3(f5(c20))))
| p14(f7(X2,f12(X3,X4)),X0,X1)
| ~ p2(c22,X2)
| ~ p2(f6(c21),X1)
| ~ p2(f3(f5(c20)),X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ p2(c22,c22)
| ~ p2(f6(c21),f6(c21))
| ~ p2(f3(f5(c20)),f3(f5(c20)))
| ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| ~ p2(c28,c25) ),
inference(resolution,[status(thm)],[d4,c29]) ).
cnf(d6,plain,
( ~ p2(c22,c22)
| ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| ~ p2(f6(c21),f6(c21))
| ~ p2(c28,c25) ),
inference(resolution,[status(thm)],[c3,d5]) ).
cnf(d7,plain,
( ~ p2(c25,X0)
| p2(c28,X0) ),
inference(resolution,[status(thm)],[c16,c6]) ).
cnf(d8,plain,
p2(c28,c25),
inference(resolution,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
( ~ p2(c22,c22)
| ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| ~ p2(f6(c21),f6(c21)) ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( ~ p2(c22,c22)
| ~ p2(f6(c21),f6(c21)) ),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
~ p2(c22,c22),
inference(resolution,[status(thm)],[c3,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.30 % CPULimit : 300
% 0.09/15.30 % WCLimit : 300
% 0.09/15.30 % DateTime : Sat Sep 26 18:15:36 UTC 2026
% 0.09/15.31 % CPUTime :
% 0.09/15.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.70/27.53 % SZS status Unsatisfiable for theBenchmark.p
% 14.70/27.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------