%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN579-1 : 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 12.17s 17.80s
% Output : CNFRefutation 12.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 14 unt; 2 nHn; 34 RR)
% Number of literals : 95 ( 0 equ; 59 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 : 59 ( 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_9,negated_conjecture,
p3(f6(f5(X0)),f6(X0)) ).
cnf(p9_11,negated_conjecture,
( ~ p9(X0,c13)
| p9(X0,f6(c16)) ) ).
cnf(p3_13,negated_conjecture,
( ~ p2(X0,X1)
| p3(f6(X0),f6(X1)) ) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p2_18,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(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),f6(X1))
| p9(f8(X0,X1),X0) ) ).
cnf(not_p11_23,negated_conjecture,
( ~ p9(f8(X1,X0),f6(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(c8,plain,
p3(f6(f5(X0)),f6(X0)),
inference(clausification,[status(esa)],[p3_9]) ).
cnf(c10,plain,
( ~ p9(X0,c13)
| p9(X0,f6(c16)) ),
inference(clausification,[status(esa)],[p9_11]) ).
cnf(c12,plain,
( ~ p2(X0,X1)
| p3(f6(X0),f6(X1)) ),
inference(clausification,[status(esa)],[p3_13]) ).
cnf(c16,plain,
( ~ p3(X0,X2)
| p3(X1,X2)
| ~ p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_17]) ).
cnf(c17,plain,
( ~ p2(X0,X2)
| p2(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_18]) ).
cnf(c19,plain,
( ~ p3(X1,X3)
| ~ p7(X0,X2)
| p9(X2,X3)
| ~ p9(X0,X1) ),
inference(clausification,[status(esa)],[p9_20]) ).
cnf(c21,plain,
( ~ p9(c12,X1)
| p9(f8(X1,X0),f6(X0))
| p9(f8(X1,X0),X1)
| ~ p11(X0,c15) ),
inference(clausification,[status(esa)],[p9_22]) ).
cnf(c22,plain,
( ~ p9(f8(X0,X1),f6(X1))
| ~ p9(c12,X0)
| ~ p11(X1,c15)
| ~ p9(f8(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_p11_23]) ).
cnf(d0,plain,
( ~ p11(X0,c15)
| p9(f8(f6(X0),X0),f6(X0))
| ~ p9(c12,f6(X0)) ),
inference(factoring,[status(thm)],[c21]) ).
cnf(d1,plain,
( ~ p11(X0,c15)
| ~ p9(f8(f6(X0),X0),f6(X0))
| ~ p9(c12,f6(X0))
| ~ p11(X0,c15)
| ~ p9(c12,f6(X0)) ),
inference(resolution,[status(thm)],[d0,c22]) ).
cnf(d2,plain,
( ~ p11(X0,c15)
| ~ p9(c12,f6(X0))
| ~ p11(X0,c15)
| ~ p9(c12,f6(X0)) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ p2(c16,X0)
| p2(f5(c14),X0) ),
inference(resolution,[status(thm)],[c17,c6]) ).
cnf(d4,plain,
( ~ p9(X0,c13)
| p9(X1,X2)
| ~ p3(f6(c16),X2)
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[c19,c10]) ).
cnf(d5,plain,
( ~ p3(f6(f5(X1)),X0)
| p3(X0,f6(X1)) ),
inference(resolution,[status(thm)],[c16,c8]) ).
cnf(d6,plain,
( ~ p2(f5(X1),X0)
| p3(f6(X0),f6(X1)) ),
inference(resolution,[status(thm)],[d5,c12]) ).
cnf(d7,plain,
( ~ p9(X1,c13)
| p9(X2,f6(X0))
| ~ p7(X1,X2)
| ~ p2(f5(X0),c16) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ p2(c16,c16)
| ~ p9(X0,c13)
| p9(X1,f6(c14))
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( ~ p9(X0,c13)
| p9(X1,f6(c14))
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[c3,d8]) ).
cnf(d10,plain,
( p9(X0,f6(c14))
| ~ p7(c12,X0) ),
inference(resolution,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
( ~ p11(c14,c15)
| ~ p7(c12,c12) ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
~ p11(c14,c15),
inference(resolution,[status(thm)],[c1,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c5,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % 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
% 0.09/16.05 % CPULimit : 300
% 0.09/16.05 % WCLimit : 300
% 0.09/16.05 % DateTime : Sat Sep 26 18:14:37 UTC 2026
% 0.09/16.05 % CPUTime :
% 0.09/16.05 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.17/17.80 % SZS status Unsatisfiable for theBenchmark.p
% 12.17/17.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------