TSTP Solution File: SYN715-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN715-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 09:04:58 EDT 2022
% Result : Unsatisfiable 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 16 unt; 0 nHn; 23 RR)
% Number of literals : 56 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 64 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p27_23,negated_conjecture,
p27(X71,X71) ).
cnf(p2_28,negated_conjecture,
p2(X44,X44) ).
cnf(p62_67,negated_conjecture,
( p62(X199,X200)
| ~ p4(X202,X199)
| ~ p62(X202,X201)
| ~ p27(X201,X200) ) ).
cnf(p63_69,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71) ).
cnf(p4_86,negated_conjecture,
( p4(f5(X123,X124),f5(X125,X126))
| ~ p2(X123,X125)
| ~ p3(X124,X126) ) ).
cnf(p62_97,negated_conjecture,
( p62(X203,X204)
| ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204) ) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72) ).
cnf(p63_101,negated_conjecture,
( p63(f24(f26(f30(c73,X213),X214),X211),X212)
| ~ p63(f24(f26(f30(c73,X211),X212),X213),X214) ) ).
cnf(not_p63_103,negated_conjecture,
( ~ p63(f24(f26(f30(c73,X10),X11),f31(X8,X12)),f28(X9,X12))
| ~ p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12) ) ).
cnf(p3_106,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))) ).
cnf(refute_0_0,plain,
( ~ p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72)
| p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72) ),
inference(subst,[],[p62_97:[bind(X203,$fot(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71))),bind(X204,$fot(c72)),bind(X205,$fot(f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71))),bind(X206,$fot(f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))]]) ).
cnf(refute_0_1,plain,
p27(X_493,X_493),
inference(subst,[],[p27_23:[bind(X71,$fot(X_493))]]) ).
cnf(refute_0_2,plain,
( ~ p27(X_493,X_493)
| ~ p4(X_495,X_492)
| ~ p62(X_495,X_493)
| p62(X_492,X_493) ),
inference(subst,[],[p62_67:[bind(X199,$fot(X_492)),bind(X200,$fot(X_493)),bind(X201,$fot(X_493)),bind(X202,$fot(X_495))]]) ).
cnf(refute_0_3,plain,
( ~ p4(X_495,X_492)
| ~ p62(X_495,X_493)
| p62(X_492,X_493) ),
inference(resolve,[$cnf( p27(X_493,X_493) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X_499)
| ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
| p62(X_499,c72) ),
inference(subst,[],[refute_0_3:[bind(X_492,$fot(X_499)),bind(X_493,$fot(c72)),bind(X_495,$fot(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71))))]]) ).
cnf(refute_0_5,plain,
( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X_499)
| p62(X_499,c72) ),
inference(resolve,[$cnf( p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72) )],[p62_100,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))))
| p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
inference(subst,[],[refute_0_5:[bind(X_499,$fot(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))))]]) ).
cnf(refute_0_7,plain,
p2(X_378,X_378),
inference(subst,[],[p2_28:[bind(X44,$fot(X_378))]]) ).
cnf(refute_0_8,plain,
( ~ p2(X_378,X_378)
| ~ p3(X_377,X_379)
| p4(f5(X_378,X_377),f5(X_378,X_379)) ),
inference(subst,[],[p4_86:[bind(X123,$fot(X_378)),bind(X124,$fot(X_377)),bind(X125,$fot(X_378)),bind(X126,$fot(X_379))]]) ).
cnf(refute_0_9,plain,
( ~ p3(X_377,X_379)
| p4(f5(X_378,X_377),f5(X_378,X_379)) ),
inference(resolve,[$cnf( p2(X_378,X_378) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,X_535),X_536),X_537)),X_533),X_534),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X_535),X_536),X_537),X_533),X_534)),f43(f45(f47(f49(f51(c75,X_535),X_536),X_537),X_533),X_534)),f53(f55(f57(f59(f61(c76,X_535),X_536),X_537),X_533),X_534)))
| p4(f5(X_378,f8(f11(f13(c65,f16(f19(f21(c66,X_535),X_536),X_537)),X_533),X_534)),f5(X_378,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X_535),X_536),X_537),X_533),X_534)),f43(f45(f47(f49(f51(c75,X_535),X_536),X_537),X_533),X_534)),f53(f55(f57(f59(f61(c76,X_535),X_536),X_537),X_533),X_534)))) ),
inference(subst,[],[refute_0_9:[bind(X_377,$fot(f8(f11(f13(c65,f16(f19(f21(c66,X_535),X_536),X_537)),X_533),X_534))),bind(X_379,$fot(f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X_535),X_536),X_537),X_533),X_534)),f43(f45(f47(f49(f51(c75,X_535),X_536),X_537),X_533),X_534)),f53(f55(f57(f59(f61(c76,X_535),X_536),X_537),X_533),X_534))))]]) ).
cnf(refute_0_11,plain,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X_535),X_536),X_537)),X_533),X_534),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X_535),X_536),X_537),X_533),X_534)),f43(f45(f47(f49(f51(c75,X_535),X_536),X_537),X_533),X_534)),f53(f55(f57(f59(f61(c76,X_535),X_536),X_537),X_533),X_534))),
inference(subst,[],[p3_106:[bind(X10,$fot(X_533)),bind(X11,$fot(X_534)),bind(X7,$fot(X_535)),bind(X8,$fot(X_536)),bind(X9,$fot(X_537))]]) ).
cnf(refute_0_12,plain,
p4(f5(X_378,f8(f11(f13(c65,f16(f19(f21(c66,X_535),X_536),X_537)),X_533),X_534)),f5(X_378,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X_535),X_536),X_537),X_533),X_534)),f43(f45(f47(f49(f51(c75,X_535),X_536),X_537),X_533),X_534)),f53(f55(f57(f59(f61(c76,X_535),X_536),X_537),X_533),X_534)))),
inference(resolve,[$cnf( p3(f8(f11(f13(c65,f16(f19(f21(c66,X_535),X_536),X_537)),X_533),X_534),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X_535),X_536),X_537),X_533),X_534)),f43(f45(f47(f49(f51(c75,X_535),X_536),X_537),X_533),X_534)),f53(f55(f57(f59(f61(c76,X_535),X_536),X_537),X_533),X_534))) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))),
inference(subst,[],[refute_0_12:[bind(X_378,$fot(c64)),bind(X_533,$fot(c70)),bind(X_534,$fot(c71)),bind(X_535,$fot(c67)),bind(X_536,$fot(c68)),bind(X_537,$fot(c69))]]) ).
cnf(refute_0_14,plain,
p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72),
inference(resolve,[$cnf( p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))) )],[refute_0_13,refute_0_6]) ).
cnf(refute_0_15,plain,
p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72),
inference(resolve,[$cnf( p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
( ~ p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71)
| p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)) ),
inference(subst,[],[p63_101:[bind(X211,$fot(f31(c68,c72))),bind(X212,$fot(f28(c69,c72))),bind(X213,$fot(c70)),bind(X214,$fot(c71))]]) ).
cnf(refute_0_17,plain,
p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(resolve,[$cnf( p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71) )],[p63_69,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p62(f33(f35(f37(f39(f41(c74,X_573),c68),c69),c70),c71),c72)
| ~ p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)) ),
inference(subst,[],[not_p63_103:[bind(X10,$fot(c70)),bind(X11,$fot(c71)),bind(X12,$fot(c72)),bind(X7,$fot(X_573)),bind(X8,$fot(c68)),bind(X9,$fot(c69))]]) ).
cnf(refute_0_19,plain,
~ p62(f33(f35(f37(f39(f41(c74,X_573),c68),c69),c70),c71),c72),
inference(resolve,[$cnf( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
~ p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72),
inference(subst,[],[refute_0_19:[bind(X_573,$fot(c67))]]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72) )],[refute_0_15,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN715-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 20:19:12 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46
% 0.21/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.47
%------------------------------------------------------------------------------