%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN695-1 : 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 : n017.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 21.36s 3.12s
% Output : CNFRefutation 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 17 unt; 0 nHn; 27 RR)
% Number of literals : 57 ( 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_7,negated_conjecture,
p10(X0,X0) ).
cnf(p3_10,negated_conjecture,
p3(X0,X0) ).
cnf(p2_12,negated_conjecture,
p2(X0,X0) ).
cnf(p2_18,negated_conjecture,
p2(c44,c45) ).
cnf(p3_30,negated_conjecture,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ) ).
cnf(p3_39,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p2_41,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_54,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
cnf(not_p2_55,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(c9,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_10]) ).
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(c29,plain,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(clausification,[status(esa)],[p3_30]) ).
cnf(c38,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_39]) ).
cnf(c40,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_41]) ).
cnf(c53,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(clausification,[status(esa)],[p2_54]) ).
cnf(c54,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(clausification,[status(esa)],[not_p2_55]) ).
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,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c38,c9]) ).
cnf(d1,plain,
( ~ p2(X1,X0)
| p3(f4(X0),f4(X1)) ),
inference(resolution,[status(thm)],[d0,c29]) ).
cnf(d2,plain,
( ~ p2(X2,X1)
| ~ p3(f4(X2),X0)
| p3(X0,f4(X1)) ),
inference(resolution,[status(thm)],[c38,c29]) ).
cnf(d3,plain,
( ~ p2(X0,X2)
| ~ p2(X2,X1)
| p3(f4(X0),f4(X1)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ p2(c45,X0)
| p3(f4(c44),f4(X0)) ),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d5,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c40,c11]) ).
cnf(d6,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c53,d5]) ).
cnf(d7,plain,
( ~ p2(f11(f4(c44),c43),X0)
| p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[d6,c40]) ).
cnf(d8,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[status(thm)],[d7,c54]) ).
cnf(d9,plain,
( ~ p3(f4(c44),f4(c45))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[d8,c60]) ).
cnf(d10,plain,
~ p3(f4(c44),f4(c45)),
inference(resolution,[status(thm)],[c6,d9]) ).
cnf(d11,plain,
~ p2(c45,c45),
inference(resolution,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c11,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN695-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 18:16:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.36/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 21.36/3.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------