%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN580-1 : 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 : 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 09:29:07 AM UTC 2026
% Result : Unsatisfiable 22.88s 26.07s
% Output : CNFRefutation 22.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 19 unt; 5 nHn; 28 RR)
% Number of literals : 74 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X0,X0) ).
cnf(p4_3,negated_conjecture,
p4(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p11_5,negated_conjecture,
p11(c15,c16) ).
cnf(p9_6,negated_conjecture,
p9(c12,c13) ).
cnf(p2_7,negated_conjecture,
p2(c14,f3(c15)) ).
cnf(not_p8_8,negated_conjecture,
~ p8(c12,c13,c14) ).
cnf(p2_15,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p8_16,negated_conjecture,
( ~ p9(c12,X0)
| ~ p11(X1,c16)
| p8(c12,X0,X1) ) ).
cnf(p9_18,negated_conjecture,
( ~ p9(c12,X1)
| p8(c12,X1,f3(X0))
| p9(c12,f6(X0)) ) ).
cnf(p8_22,negated_conjecture,
( ~ p8(c12,f6(X1),X1)
| ~ p9(c12,X0)
| p8(c12,X0,f3(X1)) ) ).
cnf(p8_23,negated_conjecture,
( ~ p8(X5,X4,X3)
| ~ p7(X5,X0)
| ~ p4(X4,X1)
| ~ p2(X3,X2)
| p8(X0,X1,X2) ) ).
cnf(c1,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_2]) ).
cnf(c2,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_3]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p11(c15,c16),
inference(clausification,[status(esa)],[p11_5]) ).
cnf(c5,plain,
p9(c12,c13),
inference(clausification,[status(esa)],[p9_6]) ).
cnf(c6,plain,
p2(c14,f3(c15)),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c7,plain,
~ p8(c12,c13,c14),
inference(clausification,[status(esa)],[not_p8_8]) ).
cnf(c14,plain,
( ~ p2(X0,X2)
| p2(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_15]) ).
cnf(c15,plain,
( ~ p9(c12,X1)
| p8(c12,X1,X0)
| ~ p11(X0,c16) ),
inference(clausification,[status(esa)],[p8_16]) ).
cnf(c17,plain,
( ~ p9(c12,X0)
| p9(c12,f6(X1))
| p8(c12,X0,f3(X1)) ),
inference(clausification,[status(esa)],[p9_18]) ).
cnf(c21,plain,
( ~ p8(c12,f6(X1),X1)
| p8(c12,X0,f3(X1))
| ~ p9(c12,X0) ),
inference(clausification,[status(esa)],[p8_22]) ).
cnf(c22,plain,
( p8(X3,X1,X5)
| ~ p8(X2,X0,X4)
| ~ p2(X4,X5)
| ~ p7(X2,X3)
| ~ p4(X0,X1) ),
inference(clausification,[status(esa)],[p8_23]) ).
cnf(d0,plain,
( ~ p2(c14,X0)
| p2(f3(c15),X0) ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(d1,plain,
p2(f3(c15),c14),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( ~ p8(X4,X0,X2)
| p8(X4,X1,X3)
| ~ p2(X2,X3)
| ~ p4(X0,X1) ),
inference(resolution,[status(thm)],[c22,c1]) ).
cnf(d3,plain,
( ~ p8(X2,X3,X0)
| p8(X2,X3,X1)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
( ~ p8(X0,X1,f3(c15))
| p8(X0,X1,c14) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ p8(c12,f6(X0),X0)
| p8(c12,c13,f3(X0)) ),
inference(resolution,[status(thm)],[c21,c5]) ).
cnf(d6,plain,
( p8(c12,X0,c15)
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(d7,plain,
( p8(c12,c13,f3(X0))
| p9(c12,f6(X0)) ),
inference(resolution,[status(thm)],[c17,c5]) ).
cnf(d8,plain,
( p8(c12,f6(X0),c15)
| p8(c12,c13,f3(X0)) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( p8(c12,f6(c15),c15)
| p8(c12,c13,c14) ),
inference(resolution,[status(thm)],[d4,d8]) ).
cnf(d10,plain,
p8(c12,f6(c15),c15),
inference(resolution,[status(thm)],[c7,d9]) ).
cnf(d11,plain,
p8(c12,c13,f3(c15)),
inference(resolution,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
p8(c12,c13,c14),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c7,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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
% 0.15/20.83 % CPULimit : 300
% 0.15/20.83 % WCLimit : 300
% 0.15/20.83 % DateTime : Sat Sep 26 18:15:24 UTC 2026
% 0.15/20.83 % CPUTime :
% 0.15/20.83 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.88/26.07 % SZS status Unsatisfiable for theBenchmark.p
% 22.88/26.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------