%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN578-1 : 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 09:29:07 AM UTC 2026
% Result : Unsatisfiable 14.94s 17.37s
% Output : CNFRefutation 14.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 14 unt; 2 nHn; 33 RR)
% Number of literals : 91 ( 0 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15) ).
cnf(p2_7,negated_conjecture,
p2(c16,f5(c14)) ).
cnf(p3_8,negated_conjecture,
p3(f4(f5(X0)),f4(X0)) ).
cnf(p9_11,negated_conjecture,
( ~ p9(X0,c13)
| p9(X0,f4(c16)) ) ).
cnf(p3_14,negated_conjecture,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p9_20,negated_conjecture,
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ) ).
cnf(p9_22,negated_conjecture,
( ~ p9(c12,X0)
| ~ p11(X1,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ) ).
cnf(not_p11_23,negated_conjecture,
( ~ p9(f8(X1,X0),f4(X0))
| ~ p9(f8(X1,X0),X1)
| ~ p9(c12,X1)
| ~ p11(X0,c15) ) ).
cnf(c1,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_2]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p9(c12,c13),
inference(clausification,[status(esa)],[p9_5]) ).
cnf(c5,plain,
p11(c14,c15),
inference(clausification,[status(esa)],[p11_6]) ).
cnf(c6,plain,
p2(c16,f5(c14)),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c7,plain,
p3(f4(f5(X0)),f4(X0)),
inference(clausification,[status(esa)],[p3_8]) ).
cnf(c10,plain,
( ~ p9(X0,c13)
| p9(X0,f4(c16)) ),
inference(clausification,[status(esa)],[p9_11]) ).
cnf(c13,plain,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(clausification,[status(esa)],[p3_14]) ).
cnf(c16,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_17]) ).
cnf(c19,plain,
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ),
inference(clausification,[status(esa)],[p9_20]) ).
cnf(c21,plain,
( ~ p9(c12,X0)
| ~ p11(X1,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ),
inference(clausification,[status(esa)],[p9_22]) ).
cnf(c22,plain,
( ~ p9(f8(X1,X0),f4(X0))
| ~ p9(f8(X1,X0),X1)
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
inference(clausification,[status(esa)],[not_p11_23]) ).
cnf(d0,plain,
( ~ p11(X0,c15)
| p9(f8(f4(X0),X0),f4(X0))
| ~ p9(c12,f4(X0)) ),
inference(factoring,[status(thm)],[c21]) ).
cnf(d1,plain,
( ~ p11(X0,c15)
| ~ p9(f8(f4(X0),X0),f4(X0))
| ~ p9(c12,f4(X0))
| ~ p11(X0,c15)
| ~ p9(c12,f4(X0)) ),
inference(resolution,[status(thm)],[d0,c22]) ).
cnf(d2,plain,
( ~ p11(X0,c15)
| ~ p9(c12,f4(X0))
| ~ p11(X0,c15)
| ~ p9(c12,f4(X0)) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ p9(X0,c13)
| p9(X1,X2)
| ~ p3(f4(c16),X2)
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[c19,c10]) ).
cnf(d4,plain,
( ~ p3(f4(f5(X1)),X0)
| p3(X0,f4(X1)) ),
inference(resolution,[status(thm)],[c16,c7]) ).
cnf(d5,plain,
( ~ p2(X2,X1)
| ~ p3(f4(X2),X0)
| p3(X0,f4(X1)) ),
inference(resolution,[status(thm)],[c16,c13]) ).
cnf(d6,plain,
( ~ p2(X2,X0)
| ~ p2(X2,X1)
| p3(f4(X0),f4(X1)) ),
inference(resolution,[status(thm)],[d5,c13]) ).
cnf(d7,plain,
( ~ p2(c16,X0)
| p3(f4(f5(c14)),f4(X0)) ),
inference(resolution,[status(thm)],[d6,c6]) ).
cnf(d8,plain,
( p3(f4(X0),f4(c14))
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ p9(X0,c13)
| p9(X1,f4(c14))
| ~ p7(X0,X1)
| ~ p2(c16,c16) ),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( ~ p9(X0,c13)
| p9(X1,f4(c14))
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[c3,d9]) ).
cnf(d11,plain,
( p9(X0,f4(c14))
| ~ p7(c12,X0) ),
inference(resolution,[status(thm)],[d10,c4]) ).
cnf(d12,plain,
( ~ p11(c14,c15)
| ~ p7(c12,c12) ),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
~ p11(c14,c15),
inference(resolution,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c5,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN578-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % 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
% 0.09/15.42 % CPULimit : 300
% 0.09/15.42 % WCLimit : 300
% 0.09/15.42 % DateTime : Sat Sep 26 18:15:40 UTC 2026
% 0.09/15.42 % CPUTime :
% 0.09/15.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.94/17.37 % SZS status Unsatisfiable for theBenchmark.p
% 14.94/17.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------