%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN712-1 : 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 : n012.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 09:29:24 AM UTC 2026
% Result : Unsatisfiable 16.50s 2.49s
% Output : CNFRefutation 16.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 18 RR)
% Number of literals : 49 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 88 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p32_20,negated_conjecture,
p32(X0,X0) ).
cnf(p2_28,negated_conjecture,
p2(X0,X0) ).
cnf(not_p62_67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69) ).
cnf(p62_69,negated_conjecture,
( ~ p32(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ) ).
cnf(p4_82,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ) ).
cnf(p62_97,negated_conjecture,
( ~ p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| p62(X0,X1) ) ).
cnf(p62_98,negated_conjecture,
( ~ p62(X0,X3)
| p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3) ) ).
cnf(p62_99,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69) ).
cnf(p3_104,negated_conjecture,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))) ).
cnf(c19,plain,
p32(X0,X0),
inference(clausification,[status(esa)],[p32_20]) ).
cnf(c27,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_28]) ).
cnf(c66,plain,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
inference(clausification,[status(esa)],[not_p62_67]) ).
cnf(c68,plain,
( ~ p32(X1,X3)
| ~ p4(X0,X2)
| p62(X2,X3)
| ~ p62(X0,X1) ),
inference(clausification,[status(esa)],[p62_69]) ).
cnf(c81,plain,
( ~ p3(X2,X3)
| p4(f5(X0,X2),f5(X1,X3))
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p4_82]) ).
cnf(c96,plain,
( ~ p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| p62(X0,X1) ),
inference(clausification,[status(esa)],[p62_97]) ).
cnf(c97,plain,
( ~ p62(X0,X3)
| p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3) ),
inference(clausification,[status(esa)],[p62_98]) ).
cnf(c98,plain,
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
inference(clausification,[status(esa)],[p62_99]) ).
cnf(c99,plain,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
inference(clausification,[status(esa)],[p62_100]) ).
cnf(c103,plain,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
inference(clausification,[status(esa)],[p3_104]) ).
cnf(d0,plain,
( ~ p2(X0,X6)
| p4(f5(X0,f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5)),f5(X6,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5)))) ),
inference(resolution,[status(thm)],[c103,c81]) ).
cnf(d1,plain,
p4(f5(X0,f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5)),f5(X0,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5)))),
inference(resolution,[status(thm)],[d0,c27]) ).
cnf(d2,plain,
( ~ p62(f5(X2,f16(f19(f21(c70,f8(f11(f13(c65,X3),X4),X5)),X6),X7)),X0)
| p62(f5(X2,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X3),X4),X5),X6),X7)),f43(f45(f47(f49(f51(c75,X3),X4),X5),X6),X7)),f53(f55(f57(f59(f61(c76,X3),X4),X5),X6),X7))),X1)
| ~ p32(X0,X1) ),
inference(resolution,[status(thm)],[d1,c68]) ).
cnf(d3,plain,
( ~ p62(f5(X0,f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5)),X6)
| p62(f5(X0,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),X6) ),
inference(resolution,[status(thm)],[d2,c19]) ).
cnf(d4,plain,
p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69),
inference(resolution,[status(thm)],[d3,c99]) ).
cnf(d5,plain,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(resolution,[status(thm)],[d4,c96]) ).
cnf(d6,plain,
p62(c66,c69),
inference(resolution,[status(thm)],[d5,c98]) ).
cnf(d7,plain,
p62(f5(c64,f8(f11(f13(c65,c66),X0),X1)),c69),
inference(resolution,[status(thm)],[d6,c97]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,c66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 18:21:21 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.50/2.49 % SZS status Unsatisfiable for theBenchmark.p
% 16.50/2.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------