TSTP Solution File: CAT020-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CAT020-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 : 300s
% DateTime : Mon May 20 18:59:17 EDT 2024
% Result : Satisfiable 0.16s 0.47s
% Output : Saturation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_22)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_20,plain,
( defined(X4,X1)
| ~ product(X1,X2,X3)
| ~ defined(X4,X3) ),
c_0_18,
[final] ).
cnf(c_0_21,axiom,
product(codomain(X1),X1,X1),
product_on_codomain,
[final] ).
cnf(c_0_23,plain,
( defined(X2,X4)
| ~ product(X1,X2,X3)
| ~ defined(X3,X4) ),
c_0_19,
[final] ).
cnf(c_0_24,axiom,
product(X1,domain(X1),X1),
product_on_domain,
[final] ).
cnf(c_0_26,plain,
( defined(X1,codomain(X2))
| ~ defined(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_27,axiom,
defined(X1,domain(X1)),
mapping_from_x_to_its_domain,
[final] ).
cnf(c_0_29,plain,
( product(X1,X2,X2)
| ~ defined(X1,X2)
| ~ identity_map(X1) ),
c_0_22,
[final] ).
cnf(c_0_31,plain,
( defined(domain(X1),X2)
| ~ defined(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]),
[final] ).
cnf(c_0_33,axiom,
defined(codomain(X1),X1),
mapping_from_codomain_of_x_to_x,
[final] ).
cnf(c_0_34,plain,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
c_0_25,
[final] ).
cnf(c_0_36,axiom,
identity_map(codomain(X1)),
codomain_is_an_identity_map,
[final] ).
cnf(c_0_37,plain,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_28,
[final] ).
cnf(c_0_38,plain,
( product(X1,domain(X1),domain(X1))
| ~ identity_map(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]),
[final] ).
cnf(c_0_40,plain,
( product(X6,X2,X5)
| ~ product(X1,X2,X3)
| ~ product(X4,X3,X5)
| ~ product(X4,X1,X6) ),
c_0_30,
[final] ).
cnf(c_0_41,plain,
defined(domain(X1),domain(X1)),
inference(spm,[status(thm)],[c_0_31,c_0_27]),
[final] ).
cnf(c_0_42,axiom,
identity_map(domain(X1)),
domain_is_an_identity_map,
[final] ).
cnf(c_0_43,plain,
( product(X1,X6,X5)
| ~ product(X1,X2,X3)
| ~ product(X3,X4,X5)
| ~ product(X2,X4,X6) ),
c_0_32,
[final] ).
cnf(c_0_45,plain,
defined(codomain(X1),codomain(X1)),
inference(spm,[status(thm)],[c_0_26,c_0_33]),
[final] ).
cnf(c_0_47,plain,
( product(codomain(X1),X1,codomain(X1))
| ~ identity_map(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]),
[final] ).
cnf(c_0_51,plain,
( X1 = X2
| ~ product(X1,domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_24]),
[final] ).
cnf(c_0_53,plain,
( product(X1,X2,compose(X1,X2))
| ~ defined(X1,X2) ),
c_0_39,
[final] ).
cnf(c_0_54,plain,
( product(X1,X2,X3)
| ~ product(X4,X2,domain(X3))
| ~ product(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_24]),
[final] ).
cnf(c_0_55,plain,
product(domain(X1),domain(X1),domain(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_42])]),
[final] ).
cnf(c_0_57,plain,
( product(X1,X2,X3)
| ~ product(domain(X1),X4,X2)
| ~ product(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_24]),
[final] ).
cnf(c_0_58,plain,
( defined(X1,X5)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ defined(X3,X4) ),
c_0_44,
[final] ).
cnf(c_0_59,plain,
product(codomain(X1),codomain(X1),codomain(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_45]),c_0_36])]),
[final] ).
cnf(c_0_60,plain,
( defined(X1,X2)
| ~ product(X1,X2,X3) ),
c_0_46,
[final] ).
cnf(c_0_61,plain,
( X1 = X2
| ~ product(codomain(X1),X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_21]),
[final] ).
cnf(c_0_63,plain,
( defined(X5,X2)
| ~ product(X1,X2,X3)
| ~ product(X4,X1,X5)
| ~ defined(X4,X3) ),
c_0_48,
[final] ).
cnf(c_0_64,plain,
( defined(X1,X3)
| ~ defined(X1,X2)
| ~ defined(X2,X3)
| ~ identity_map(X2) ),
c_0_49,
[final] ).
cnf(c_0_66,plain,
domain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_67,plain,
( product(codomain(X1),X2,X2)
| ~ defined(codomain(X1),X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_36]),
[final] ).
cnf(c_0_69,plain,
( product(X1,domain(X2),X2)
| ~ product(X2,domain(X2),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_70,plain,
domain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_51,c_0_56]),
[final] ).
cnf(c_0_71,plain,
( product(X1,X2,X1)
| ~ product(domain(X1),domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_24]),
[final] ).
cnf(c_0_72,plain,
( defined(codomain(X1),X2)
| ~ product(codomain(X1),X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),
[final] ).
cnf(c_0_73,plain,
codomain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_74,plain,
( defined(X1,codomain(X2))
| ~ product(X3,codomain(X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_59]),c_0_60]),
[final] ).
cnf(c_0_75,plain,
( product(X1,X2,X3)
| ~ product(X1,X4,codomain(X3))
| ~ product(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_21]),
[final] ).
cnf(c_0_76,plain,
( product(X1,X2,X3)
| ~ product(X1,codomain(X2),X4)
| ~ product(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_21]),
[final] ).
cnf(c_0_77,plain,
( product(codomain(X1),X2,X3)
| ~ product(X1,X4,X3)
| ~ product(X1,X4,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_21]),
[final] ).
cnf(c_0_78,plain,
( product(X1,domain(X2),X3)
| ~ product(X4,X2,X3)
| ~ product(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_24]),
[final] ).
cnf(c_0_79,plain,
( product(X1,X2,X3)
| ~ product(domain(X1),X2,X4)
| ~ product(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_24]),
[final] ).
cnf(c_0_80,plain,
( product(X1,X2,X3)
| ~ product(X4,codomain(X2),X1)
| ~ product(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_21]),
[final] ).
cnf(c_0_81,plain,
( defined(X1,X2)
| ~ product(X3,domain(X4),X2)
| ~ product(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_58,c_0_27]),
[final] ).
cnf(c_0_82,plain,
( defined(X1,X2)
| ~ product(X1,X3,codomain(X4))
| ~ product(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_33]),
[final] ).
cnf(c_0_83,plain,
( defined(X1,X2)
| ~ product(X3,X2,domain(X4))
| ~ product(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_27]),
[final] ).
cnf(c_0_84,plain,
( defined(X1,X2)
| ~ product(codomain(X3),X4,X1)
| ~ product(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]),
[final] ).
cnf(c_0_85,plain,
( defined(codomain(X1),X2)
| ~ identity_map(X1)
| ~ defined(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_33]),
[final] ).
cnf(c_0_88,plain,
compose(X1,domain(X1)) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_68]),
[final] ).
cnf(c_0_89,plain,
( X1 = codomain(X2)
| ~ product(codomain(X2),codomain(X2),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_59]),
[final] ).
cnf(c_0_92,plain,
( product(domain(X1),X2,X3)
| ~ product(domain(X1),X4,X3)
| ~ product(domain(X1),X4,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_55]),
[final] ).
cnf(c_0_93,plain,
( product(X1,domain(X2),X3)
| ~ product(X4,domain(X2),X3)
| ~ product(X1,domain(X2),X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_55]),
[final] ).
cnf(c_0_94,plain,
( product(domain(X1),X2,X3)
| ~ product(domain(X1),X4,X3)
| ~ product(domain(X1),X2,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_55]),
[final] ).
cnf(c_0_95,plain,
( product(X1,X2,domain(X3))
| ~ product(X4,domain(X3),X2)
| ~ product(X1,X4,domain(X3)) ),
inference(spm,[status(thm)],[c_0_43,c_0_55]),
[final] ).
cnf(c_0_96,plain,
( product(X1,X2,domain(X3))
| ~ product(domain(X3),X4,X1)
| ~ product(X4,X2,domain(X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_55]),
[final] ).
cnf(c_0_97,plain,
( product(X1,domain(X2),X3)
| ~ product(X4,domain(X2),X3)
| ~ product(X4,domain(X2),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_55]),
[final] ).
cnf(c_0_98,plain,
( product(codomain(X1),X2,X3)
| ~ product(codomain(X1),X4,X3)
| ~ product(codomain(X1),X4,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_59]),
[final] ).
cnf(c_0_99,plain,
( product(X1,codomain(X2),X3)
| ~ product(X4,codomain(X2),X3)
| ~ product(X1,codomain(X2),X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_59]),
[final] ).
cnf(c_0_100,plain,
( product(codomain(X1),X2,X3)
| ~ product(codomain(X1),X4,X3)
| ~ product(codomain(X1),X2,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_59]),
[final] ).
cnf(c_0_101,plain,
( product(X1,X2,codomain(X3))
| ~ product(X4,codomain(X3),X2)
| ~ product(X1,X4,codomain(X3)) ),
inference(spm,[status(thm)],[c_0_43,c_0_59]),
[final] ).
cnf(c_0_102,plain,
( product(X1,domain(X2),domain(X2))
| ~ product(domain(X2),domain(X2),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_103,plain,
( product(domain(X1),X2,domain(X1))
| ~ product(domain(X1),domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]),
[final] ).
cnf(c_0_104,plain,
( product(X1,codomain(X2),codomain(X2))
| ~ product(codomain(X2),codomain(X2),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_66]),
[final] ).
cnf(c_0_105,plain,
( product(codomain(X1),X2,codomain(X1))
| ~ product(codomain(X1),codomain(X1),X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_66]),
[final] ).
cnf(c_0_106,plain,
( product(X1,X2,codomain(X3))
| ~ product(codomain(X3),X4,X1)
| ~ product(X4,X2,codomain(X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_59]),
[final] ).
cnf(c_0_107,plain,
( defined(domain(X1),X2)
| ~ product(domain(X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]),
[final] ).
cnf(c_0_108,plain,
( defined(X1,domain(X2))
| ~ product(X3,domain(X2),X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_73]),
[final] ).
cnf(c_0_109,plain,
( product(X1,codomain(X2),X3)
| ~ product(X4,codomain(X2),X3)
| ~ product(X4,codomain(X2),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_59]),
[final] ).
cnf(c_0_110,plain,
( defined(X1,X2)
| ~ product(domain(X3),X4,X1)
| ~ product(X4,X2,domain(X3)) ),
inference(spm,[status(thm)],[c_0_63,c_0_41]),
[final] ).
cnf(c_0_111,plain,
( defined(X1,X2)
| ~ product(X3,domain(X4),X2)
| ~ product(X1,X3,domain(X4)) ),
inference(spm,[status(thm)],[c_0_58,c_0_41]),
[final] ).
cnf(c_0_112,plain,
( defined(X1,X2)
| ~ product(codomain(X3),X4,X1)
| ~ product(X4,X2,codomain(X3)) ),
inference(spm,[status(thm)],[c_0_63,c_0_45]),
[final] ).
cnf(c_0_113,plain,
( defined(X1,X2)
| ~ product(X3,codomain(X4),X2)
| ~ product(X1,X3,codomain(X4)) ),
inference(spm,[status(thm)],[c_0_58,c_0_45]),
[final] ).
cnf(c_0_114,plain,
( product(X1,X2,X3)
| ~ product(X4,domain(X3),X2)
| ~ product(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_24]),
[final] ).
cnf(c_0_115,plain,
( product(codomain(X1),X2,X1)
| ~ product(codomain(X1),X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_59]),
[final] ).
cnf(c_0_116,plain,
( product(X1,X2,X3)
| ~ product(X4,domain(X2),X3)
| ~ product(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_24]),
[final] ).
cnf(c_0_117,plain,
( product(X1,X2,X2)
| ~ product(X1,codomain(X2),codomain(X2)) ),
inference(spm,[status(thm)],[c_0_76,c_0_21]),
[final] ).
cnf(c_0_118,plain,
( product(codomain(X1),X2,X1)
| ~ product(X1,domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_24]),
[final] ).
cnf(c_0_119,plain,
( product(codomain(X1),X1,X2)
| ~ product(X1,domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_24]),
[final] ).
cnf(c_0_120,plain,
( product(X1,domain(X2),X2)
| ~ product(codomain(X2),X2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_21]),
[final] ).
cnf(c_0_121,plain,
( product(X1,domain(X1),X2)
| ~ product(codomain(X1),X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_21]),
[final] ).
cnf(c_0_122,plain,
( product(X1,X2,X3)
| ~ product(codomain(X3),X4,X1)
| ~ product(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_21]),
[final] ).
cnf(c_0_123,plain,
( product(X1,X2,X1)
| ~ product(domain(X1),X2,domain(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_24]),
[final] ).
cnf(c_0_124,plain,
( product(X1,X2,X3)
| ~ product(codomain(X1),X4,X3)
| ~ product(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_21]),
[final] ).
cnf(c_0_125,plain,
( product(X1,X2,X2)
| ~ product(codomain(X2),codomain(X2),X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_21]),
[final] ).
cnf(c_0_126,plain,
( defined(codomain(X1),X2)
| ~ product(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_60]),
[final] ).
cnf(c_0_127,plain,
( defined(X1,X2)
| ~ product(domain(X1),domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_24]),
[final] ).
cnf(c_0_128,plain,
( defined(X1,X2)
| ~ product(X1,codomain(X2),codomain(X2)) ),
inference(spm,[status(thm)],[c_0_82,c_0_21]),
[final] ).
cnf(c_0_129,plain,
( defined(X1,X2)
| ~ product(X1,codomain(X2),X3)
| ~ defined(X3,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_21]),
[final] ).
cnf(c_0_130,plain,
( defined(X1,X2)
| ~ product(domain(X1),X3,X2)
| ~ defined(X1,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_24]),
[final] ).
cnf(c_0_131,plain,
( defined(X1,X2)
| ~ product(domain(X1),X2,X3)
| ~ defined(X1,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_24]),
[final] ).
cnf(c_0_132,plain,
( defined(X1,domain(X2))
| ~ product(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_24]),c_0_60]),
[final] ).
cnf(c_0_133,plain,
( defined(X1,X2)
| ~ product(X3,codomain(X2),X1)
| ~ defined(X3,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_21]),
[final] ).
cnf(c_0_134,plain,
( X1 = domain(X2)
| ~ product(domain(X2),domain(X2),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_55]),
[final] ).
cnf(c_0_135,plain,
( defined(X1,X2)
| ~ product(domain(X1),X2,domain(X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_24]),
[final] ).
cnf(c_0_136,plain,
( defined(X1,X2)
| ~ product(codomain(X2),codomain(X2),X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_21]),
[final] ).
cnf(c_0_137,plain,
( defined(X1,X2)
| ~ defined(domain(X3),X2)
| ~ defined(X1,domain(X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_42]),
[final] ).
cnf(c_0_138,plain,
( defined(X1,X2)
| ~ defined(codomain(X3),X2)
| ~ defined(X1,codomain(X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_36]),
[final] ).
cnf(c_0_139,plain,
( defined(domain(X1),X2)
| ~ product(X2,X3,domain(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_41]),
[final] ).
cnf(c_0_140,plain,
( defined(X1,domain(X2))
| ~ product(X3,X1,domain(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_41]),
[final] ).
cnf(c_0_141,plain,
( defined(codomain(X1),X2)
| ~ product(X2,X3,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_45]),
[final] ).
cnf(c_0_142,plain,
( defined(X1,codomain(X2))
| ~ product(X3,X1,codomain(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_45]),
[final] ).
cnf(c_0_143,plain,
( defined(X1,domain(X2))
| ~ identity_map(X2)
| ~ defined(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_27]),
[final] ).
cnf(c_0_144,plain,
( defined(codomain(X1),domain(X1))
| ~ identity_map(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_27]),
[final] ).
cnf(c_0_145,plain,
( product(X1,domain(X2),X1)
| ~ defined(X1,domain(X2)) ),
inference(spm,[status(thm)],[c_0_34,c_0_42]),
[final] ).
cnf(c_0_146,plain,
( product(X1,codomain(X2),X1)
| ~ defined(X1,codomain(X2)) ),
inference(spm,[status(thm)],[c_0_34,c_0_36]),
[final] ).
cnf(c_0_147,plain,
( product(domain(X1),X2,X2)
| ~ defined(domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_42]),
[final] ).
cnf(c_0_148,plain,
( defined(X1,domain(X2))
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_27]),
[final] ).
cnf(c_0_149,plain,
( defined(codomain(X1),X2)
| ~ product(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_33]),
[final] ).
cnf(c_0_150,plain,
( defined(X1,X2)
| ~ product(X3,X1,codomain(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_33]),
[final] ).
cnf(c_0_151,plain,
( defined(X1,X2)
| ~ product(X2,X3,domain(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]),
[final] ).
cnf(c_0_152,plain,
( defined(X1,X2)
| ~ defined(X1,codomain(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_33]),c_0_36])]),
[final] ).
cnf(c_0_153,plain,
( defined(X1,X2)
| ~ defined(domain(X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_27]),c_0_42])]),
[final] ).
cnf(c_0_154,plain,
codomain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_86,c_0_87]),
[final] ).
cnf(c_0_155,plain,
compose(domain(X1),domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_88,c_0_70]),
[final] ).
cnf(c_0_156,plain,
compose(codomain(X1),codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]),
[final] ).
cnf(c_0_157,plain,
compose(codomain(X1),X1) = X1,
inference(spm,[status(thm)],[c_0_61,c_0_91]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CAT020-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.11/0.30 % Computer : n008.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat May 18 11:34:08 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.16/0.40 Running first-order theorem proving
% 0.16/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.47 # Version: 3.1.0
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # Starting sh5l with 300s (1) cores
% 0.16/0.47 # new_bool_3 with pid 6686 completed with status 8
% 0.16/0.47 # new_bool_1 with pid 6687 completed with status 8
% 0.16/0.47 # sh5l with pid 6688 completed with status 8
% 0.16/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6685 completed with status 1
% 0.16/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # No SInE strategy applied
% 0.16/0.47 # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.16/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.47 # Starting sh5l with 136s (1) cores
% 0.16/0.47 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 6692 completed with status 1
% 0.16/0.47 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # No SInE strategy applied
% 0.16/0.47 # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.16/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.16/0.47 # Preprocessing time : 0.001 s
% 0.16/0.47
% 0.16/0.47 # No proof found!
% 0.16/0.47 # SZS status Satisfiable
% 0.16/0.47 # SZS output start Saturation
% See solution above
% 0.16/0.47 # Parsed axioms : 18
% 0.16/0.47 # Removed by relevancy pruning/SinE : 0
% 0.16/0.47 # Initial clauses : 18
% 0.16/0.47 # Removed in clause preprocessing : 0
% 0.16/0.47 # Initial clauses in saturation : 18
% 0.16/0.47 # Processed clauses : 1011
% 0.16/0.47 # ...of these trivial : 108
% 0.16/0.47 # ...subsumed : 570
% 0.16/0.47 # ...remaining for further processing : 333
% 0.16/0.47 # Other redundant clauses eliminated : 0
% 0.16/0.47 # Clauses deleted for lack of memory : 0
% 0.16/0.47 # Backward-subsumed : 7
% 0.16/0.47 # Backward-rewritten : 209
% 0.16/0.47 # Generated clauses : 4649
% 0.16/0.47 # ...of the previous two non-redundant : 3627
% 0.16/0.47 # ...aggressively subsumed : 0
% 0.16/0.47 # Contextual simplify-reflections : 4
% 0.16/0.47 # Paramodulations : 4649
% 0.16/0.47 # Factorizations : 0
% 0.16/0.47 # NegExts : 0
% 0.16/0.47 # Equation resolutions : 0
% 0.16/0.47 # Disequality decompositions : 0
% 0.16/0.47 # Total rewrite steps : 2171
% 0.16/0.47 # ...of those cached : 1919
% 0.16/0.47 # Propositional unsat checks : 0
% 0.16/0.47 # Propositional check models : 0
% 0.16/0.47 # Propositional check unsatisfiable : 0
% 0.16/0.47 # Propositional clauses : 0
% 0.16/0.47 # Propositional clauses after purity: 0
% 0.16/0.47 # Propositional unsat core size : 0
% 0.16/0.47 # Propositional preprocessing time : 0.000
% 0.16/0.47 # Propositional encoding time : 0.000
% 0.16/0.47 # Propositional solver time : 0.000
% 0.16/0.47 # Success case prop preproc time : 0.000
% 0.16/0.47 # Success case prop encoding time : 0.000
% 0.16/0.47 # Success case prop solver time : 0.000
% 0.16/0.47 # Current number of processed clauses : 117
% 0.16/0.47 # Positive orientable unit clauses : 18
% 0.16/0.47 # Positive unorientable unit clauses: 0
% 0.16/0.47 # Negative unit clauses : 0
% 0.16/0.47 # Non-unit-clauses : 99
% 0.16/0.47 # Current number of unprocessed clauses: 0
% 0.16/0.47 # ...number of literals in the above : 0
% 0.16/0.47 # Current number of archived formulas : 0
% 0.16/0.47 # Current number of archived clauses : 216
% 0.16/0.47 # Clause-clause subsumption calls (NU) : 17523
% 0.16/0.47 # Rec. Clause-clause subsumption calls : 15069
% 0.16/0.47 # Non-unit clause-clause subsumptions : 581
% 0.16/0.47 # Unit Clause-clause subsumption calls : 104
% 0.16/0.47 # Rewrite failures with RHS unbound : 0
% 0.16/0.47 # BW rewrite match attempts : 209
% 0.16/0.47 # BW rewrite match successes : 52
% 0.16/0.47 # Condensation attempts : 0
% 0.16/0.47 # Condensation successes : 0
% 0.16/0.47 # Termbank termtop insertions : 49137
% 0.16/0.47 # Search garbage collected termcells : 54
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.058 s
% 0.16/0.47 # System time : 0.003 s
% 0.16/0.47 # Total time : 0.062 s
% 0.16/0.47 # Maximum resident set size: 1636 pages
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.329 s
% 0.16/0.47 # System time : 0.016 s
% 0.16/0.47 # Total time : 0.346 s
% 0.16/0.47 # Maximum resident set size: 1712 pages
% 0.16/0.47 % E---3.1 exiting
% 0.16/0.47 % E exiting
%------------------------------------------------------------------------------