%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN704-1 : 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 : n019.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 09:29:23 AM UTC 2026
% Result : Unsatisfiable 31.52s 4.39s
% Output : CNFRefutation 31.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 41 ( 20 unt; 0 nHn; 30 RR)
% Number of literals : 82 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 92 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_3,negated_conjecture,
p7(X0,X0) ).
cnf(p4_8,negated_conjecture,
p4(X0,X0) ).
cnf(p3_14,negated_conjecture,
p3(X0,X0) ).
cnf(p2_20,negated_conjecture,
p2(X0,X0) ).
cnf(p7_26,negated_conjecture,
p7(c54,c55) ).
cnf(p7_29,negated_conjecture,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ) ).
cnf(p4_34,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(p3_40,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(not_p47_52,negated_conjecture,
~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),X3) ).
cnf(p47_53,negated_conjecture,
( ~ p4(X2,X0)
| ~ p7(X3,X1)
| ~ p47(X2,X3)
| p47(X0,X1) ) ).
cnf(p4_58,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ) ).
cnf(p47_74,negated_conjecture,
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ) ).
cnf(p47_77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55) ).
cnf(p3_80,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))) ).
cnf(c2,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_3]) ).
cnf(c7,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_8]) ).
cnf(c13,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_14]) ).
cnf(c19,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_20]) ).
cnf(c25,plain,
p7(c54,c55),
inference(clausification,[status(esa)],[p7_26]) ).
cnf(c28,plain,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(clausification,[status(esa)],[p7_29]) ).
cnf(c33,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_34]) ).
cnf(c39,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_40]) ).
cnf(c51,plain,
~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),X3),
inference(clausification,[status(esa)],[not_p47_52]) ).
cnf(c52,plain,
( ~ p4(X2,X0)
| ~ p7(X3,X1)
| ~ p47(X2,X3)
| p47(X0,X1) ),
inference(clausification,[status(esa)],[p47_53]) ).
cnf(c57,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(clausification,[status(esa)],[p4_58]) ).
cnf(c73,plain,
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
inference(clausification,[status(esa)],[p47_74]) ).
cnf(c76,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(clausification,[status(esa)],[p47_77]) ).
cnf(c79,plain,
p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
inference(clausification,[status(esa)],[p3_80]) ).
cnf(d0,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c39,c13]) ).
cnf(d1,plain,
p3(f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3)),f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3)),
inference(resolution,[status(thm)],[c79,d0]) ).
cnf(d2,plain,
( ~ p4(f5(X2,X0),X4)
| p4(f5(X3,X1),X4)
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c57,c33]) ).
cnf(d3,plain,
( ~ p2(X2,X0)
| ~ p3(X3,X1)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
( p47(X1,X0)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X1)
| ~ p7(c55,X0) ),
inference(resolution,[status(thm)],[c76,c52]) ).
cnf(d5,plain,
( ~ p2(X1,c48)
| ~ p3(X2,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54))
| p47(f5(X1,X2),X0)
| ~ p7(c55,X0) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( p47(f5(X1,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),X0)
| ~ p2(X1,c48)
| ~ p7(c55,X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),X0)
| ~ p2(c48,c48)
| ~ p7(c55,X0) ),
inference(resolution,[status(thm)],[d6,c73]) ).
cnf(d8,plain,
( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),X0)
| ~ p7(c55,X0) ),
inference(resolution,[status(thm)],[c19,d7]) ).
cnf(d9,plain,
~ p7(c55,c54),
inference(resolution,[status(thm)],[d8,c51]) ).
cnf(d10,plain,
( ~ p7(X1,X0)
| p7(X0,X1) ),
inference(resolution,[status(thm)],[c28,c2]) ).
cnf(d11,plain,
p7(c55,c54),
inference(resolution,[status(thm)],[d10,c25]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:21:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.52/4.39 % SZS status Unsatisfiable for theBenchmark.p
% 31.52/4.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------