%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN694-1 : 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 : n007.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 09:29:22 AM UTC 2026
% Result : Unsatisfiable 13.70s 4.36s
% Output : CNFRefutation 13.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 15 unt; 0 nHn; 26 RR)
% Number of literals : 54 ( 0 equ; 30 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_7,negated_conjecture,
p10(X0,X0) ).
cnf(p2_12,negated_conjecture,
p2(X0,X0) ).
cnf(p2_18,negated_conjecture,
p2(c44,c45) ).
cnf(p3_36,negated_conjecture,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ) ).
cnf(p3_40,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p2_42,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_55,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
cnf(not_p2_56,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
cnf(p2_61,negated_conjecture,
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ) ).
cnf(c6,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_7]) ).
cnf(c11,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c17,plain,
p2(c44,c45),
inference(clausification,[status(esa)],[p2_18]) ).
cnf(c35,plain,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(clausification,[status(esa)],[p3_36]) ).
cnf(c39,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_40]) ).
cnf(c41,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_42]) ).
cnf(c54,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(clausification,[status(esa)],[p2_55]) ).
cnf(c55,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(clausification,[status(esa)],[not_p2_56]) ).
cnf(c60,plain,
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
inference(clausification,[status(esa)],[p2_61]) ).
cnf(d0,plain,
( ~ p2(X2,X1)
| ~ p3(f4(X2),X0)
| p3(X0,f4(X1)) ),
inference(resolution,[status(thm)],[c39,c35]) ).
cnf(d1,plain,
( ~ p2(X2,X0)
| ~ p2(X2,X1)
| p3(f4(X0),f4(X1)) ),
inference(resolution,[status(thm)],[d0,c35]) ).
cnf(d2,plain,
( ~ p2(c44,X0)
| p3(f4(c45),f4(X0)) ),
inference(resolution,[status(thm)],[d1,c17]) ).
cnf(d3,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c41,c11]) ).
cnf(d4,plain,
( p2(f11(X3,X1),f11(X2,X0))
| ~ p3(X2,X3)
| ~ p10(X0,X1) ),
inference(resolution,[status(thm)],[c60,d3]) ).
cnf(d5,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c54,d3]) ).
cnf(d6,plain,
( ~ p2(f11(f4(c44),c43),X0)
| p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[d5,c41]) ).
cnf(d7,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[status(thm)],[d6,c55]) ).
cnf(d8,plain,
( ~ p3(f4(c45),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
~ p3(f4(c45),f4(c44)),
inference(resolution,[status(thm)],[c6,d8]) ).
cnf(d10,plain,
~ p2(c44,c44),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN694-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 18:18:39 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.70/4.36 % SZS status Unsatisfiable for theBenchmark.p
% 13.70/4.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------