%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN591-1 : 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 : n005.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 09:29:09 AM UTC 2026
% Result : Unsatisfiable 24.32s 5.84s
% Output : CNFRefutation 24.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 17 unt; 4 nHn; 28 RR)
% Number of literals : 64 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_3,negated_conjecture,
p7(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p12_11,negated_conjecture,
p12(c14,f4(c18,c17)) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))) ).
cnf(not_p11_13,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)) ).
cnf(p2_20,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_22,negated_conjecture,
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ) ).
cnf(p11_25,negated_conjecture,
( ~ p11(X3,X2)
| ~ p7(X3,X0)
| ~ p3(X2,X1)
| p11(X0,X1) ) ).
cnf(p3_26,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ) ).
cnf(p11_27,negated_conjecture,
( ~ p12(c14,f4(X0,c17))
| p11(c13,f4(f5(X0),c17))
| p11(c13,f4(c17,f5(X0))) ) ).
cnf(c2,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_3]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c10,plain,
p12(c14,f4(c18,c17)),
inference(clausification,[status(esa)],[p12_11]) ).
cnf(c11,plain,
~ p11(c13,f4(c17,f6(c18))),
inference(clausification,[status(esa)],[not_p11_12]) ).
cnf(c12,plain,
~ p11(c13,f4(f6(c18),c17)),
inference(clausification,[status(esa)],[not_p11_13]) ).
cnf(c19,plain,
( ~ p2(X0,X2)
| p2(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_20]) ).
cnf(c21,plain,
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ),
inference(clausification,[status(esa)],[p2_22]) ).
cnf(c24,plain,
( ~ p11(X0,X3)
| ~ p3(X3,X2)
| p11(X1,X2)
| ~ p7(X0,X1) ),
inference(clausification,[status(esa)],[p11_25]) ).
cnf(c25,plain,
( ~ p2(X2,X3)
| p3(f4(X0,X2),f4(X1,X3))
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p3_26]) ).
cnf(c26,plain,
( ~ p12(c14,f4(X0,c17))
| p11(c13,f4(c17,f5(X0)))
| p11(c13,f4(f5(X0),c17)) ),
inference(clausification,[status(esa)],[p11_27]) ).
cnf(d0,plain,
( ~ p11(X2,X0)
| p11(X2,X1)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c24,c2]) ).
cnf(d1,plain,
p2(f6(c18),f5(c18)),
inference(resolution,[status(thm)],[c21,c10]) ).
cnf(d2,plain,
( ~ p2(f6(c18),X0)
| p2(f5(c18),X0) ),
inference(resolution,[status(thm)],[d1,c19]) ).
cnf(d3,plain,
p2(f5(c18),f6(c18)),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( p3(f4(X0,X2),f4(X1,X2))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c25,c3]) ).
cnf(d5,plain,
p3(f4(f5(c18),X0),f4(f6(c18),X0)),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ p11(X0,f4(f5(c18),X1))
| p11(X0,f4(f6(c18),X1)) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( p11(c13,f4(f5(c18),c17))
| p11(c13,f4(c17,f5(c18))) ),
inference(resolution,[status(thm)],[c26,c10]) ).
cnf(d8,plain,
( p3(f4(X0,f5(c18)),f4(X1,f6(c18)))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d3,c25]) ).
cnf(d9,plain,
p3(f4(X0,f5(c18)),f4(X0,f6(c18))),
inference(resolution,[status(thm)],[d8,c3]) ).
cnf(d10,plain,
( ~ p11(X0,f4(X1,f5(c18)))
| p11(X0,f4(X1,f6(c18))) ),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
( p11(c13,f4(f5(c18),c17))
| p11(c13,f4(c17,f6(c18))) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
p11(c13,f4(f5(c18),c17)),
inference(resolution,[status(thm)],[c11,d11]) ).
cnf(d13,plain,
p11(c13,f4(f6(c18),c17)),
inference(resolution,[status(thm)],[d12,d6]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c12,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN591-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 18:15:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.32/5.84 % SZS status Unsatisfiable for theBenchmark.p
% 24.32/5.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------