TSTP Solution File: ITP010+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : ITP010+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n016.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 Mar 25 14:15:47 EDT 2024
% Result : Theorem 12.17s 12.35s
% Output : Proof 12.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP010+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Mar 21 01:56:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 12.17/12.35 % SZS status Theorem for theBenchmark
% 12.17/12.35 % SZS output start Proof for theBenchmark
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Eeq__ext ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Eeq__ext-1, axiom, ( ( s(_u3, app_2E2(s(tyop_2Emin_2Efun(_u4, _u3), _u2), s(_u4, skolem1(_u4, _u3, _u2, _u1)))) != s(_u3, app_2E2(s(tyop_2Emin_2Efun(_u4, _u3), _u1), s(_u4, skolem1(_u4, _u3, _u2, _u1))))) | ( s(tyop_2Emin_2Efun(_u4, _u3), _u2) = s(tyop_2Emin_2Efun(_u4, _u3), _u1)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Eboolext ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Eboolext-1, axiom, ( ( s(tyop_2Emin_2Ebool, _u6) = s(tyop_2Emin_2Ebool, _u5)) | p(s(tyop_2Emin_2Ebool, _u6)) | p(s(tyop_2Emin_2Ebool, _u5)) )).
% 12.17/12.35 cnf(reserved_2Eho_2Eboolext-2, axiom, ( ( s(tyop_2Emin_2Ebool, _u6) = s(tyop_2Emin_2Ebool, _u5)) | ~p(s(tyop_2Emin_2Ebool, _u5)) | ~p(s(tyop_2Emin_2Ebool, _u6)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Etruth ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Etruth-1, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Enotfalse ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Enotfalse-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Ebool__cases__ax ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Ebool__cases__ax-1, axiom, ( ( s(tyop_2Emin_2Ebool, _u7) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ( s(tyop_2Emin_2Ebool, _u7) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Ei__thm ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Ei__thm-1, axiom, ( ( s(_u9, app_2E2(s(tyop_2Emin_2Efun(_u9, _u9), combin_i_2E0), s(_u9, _u8))) = s(_u9, _u8)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Ek__thm ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Ek__thm-1, axiom, ( ( s(_u13, app_2E2(s(tyop_2Emin_2Efun(_u12, _u13), app_2E2(s(tyop_2Emin_2Efun(_u13, tyop_2Emin_2Efun(_u12, _u13)), combin_k_2E0), s(_u13, _u11))), s(_u12, _u10))) = s(_u13, _u11)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Eho_2Es__thm ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Eho_2Es__thm-1, axiom, ( ( s(_u17, app_2E2(s(tyop_2Emin_2Efun(_u19, _u17), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u19, _u18), tyop_2Emin_2Efun(_u19, _u17)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u19, tyop_2Emin_2Efun(_u18, _u17)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u19, _u18), tyop_2Emin_2Efun(_u19, _u17))), combin_s_2E0), s(tyop_2Emin_2Efun(_u19, tyop_2Emin_2Efun(_u18, _u17)), _u16))), s(tyop_2Emin_2Efun(_u19, _u18), _u15))), s(_u19, _u14))) = s(_u17, app_2E2(s(tyop_2Emin_2Efun(_u18, _u17), app_2E2(s(tyop_2Emin_2Efun(_u19, tyop_2Emin_2Efun(_u18, _u17)), _u16), s(_u19, _u14))), s(_u18, app_2E2(s(tyop_2Emin_2Efun(_u19, _u18), _u15), s(_u19, _u14)))))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Elogic_2E_2F_5C ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Elogic_2E_2F_5C-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _u24), s(tyop_2Emin_2Ebool, _u22)))) | p(s(tyop_2Emin_2Ebool, _u24)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_2F_5C-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _u24), s(tyop_2Emin_2Ebool, _u22)))) | p(s(tyop_2Emin_2Ebool, _u22)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_2F_5C-3, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u25)) | ~p(s(tyop_2Emin_2Ebool, _u23)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _u25), s(tyop_2Emin_2Ebool, _u23)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Elogic_2E_5C_2F ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Elogic_2E_5C_2F-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _u30), s(tyop_2Emin_2Ebool, _u28)))) | p(s(tyop_2Emin_2Ebool, _u30)) | p(s(tyop_2Emin_2Ebool, _u28)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_5C_2F-2, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _u31), s(tyop_2Emin_2Ebool, _u29)))) | ~p(s(tyop_2Emin_2Ebool, _u31)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_5C_2F-3, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _u31), s(tyop_2Emin_2Ebool, _u29)))) | ~p(s(tyop_2Emin_2Ebool, _u29)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Elogic_2E_7E ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Elogic_2E_7E-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _u33)))) | ~p(s(tyop_2Emin_2Ebool, _u33)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_7E-2, axiom, ( p(s(tyop_2Emin_2Ebool, _u34)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _u34)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Elogic_2E_3D_3D_3E ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Elogic_2E_3D_3D_3E-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _u39), s(tyop_2Emin_2Ebool, _u37)))) | ~p(s(tyop_2Emin_2Ebool, _u39)) | p(s(tyop_2Emin_2Ebool, _u37)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_3D_3D_3E-2, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _u40), s(tyop_2Emin_2Ebool, _u38)))) | p(s(tyop_2Emin_2Ebool, _u40)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_3D_3D_3E-3, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _u40), s(tyop_2Emin_2Ebool, _u38)))) | ~p(s(tyop_2Emin_2Ebool, _u38)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Elogic_2E_3D ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Elogic_2E_3D-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_u48, _u46), s(_u48, _u44)))) | ( s(_u48, _u46) = s(_u48, _u44)) )).
% 12.17/12.35 cnf(reserved_2Elogic_2E_3D-2, axiom, ( ( s(_u49, _u47) != s(_u49, _u45)) | p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_u49, _u47), s(_u49, _u45)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Equant_2E_21 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Equant_2E_21-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_u56, tyop_2Emin_2Ebool), _u54)))) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u56, tyop_2Emin_2Ebool), _u54), s(_u56, _u50)))) )).
% 12.17/12.35 cnf(reserved_2Equant_2E_21-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u57, tyop_2Emin_2Ebool), _u55), s(_u57, skolem2(_u57, _u55))))) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_u57, tyop_2Emin_2Ebool), _u55)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: reserved_2Equant_2E_3F ( axiom ) converted to clauses:
% 12.17/12.35 cnf(reserved_2Equant_2E_3F-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_u64, tyop_2Emin_2Ebool), _u62)))) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u64, tyop_2Emin_2Ebool), _u62), s(_u64, skolem3(_u64, _u62))))) )).
% 12.17/12.35 cnf(reserved_2Equant_2E_3F-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u65, tyop_2Emin_2Ebool), _u63), s(_u65, _u59)))) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_u65, tyop_2Emin_2Ebool), _u63)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq2_2Ec_2Ebool_2E_2F_5C_2E2 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u70)) | ~p(s(tyop_2Emin_2Ebool, _u68)) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _u70))), s(tyop_2Emin_2Ebool, _u68)))) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _u71))), s(tyop_2Emin_2Ebool, _u69)))) | p(s(tyop_2Emin_2Ebool, _u71)) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2-3, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _u71))), s(tyop_2Emin_2Ebool, _u69)))) | p(s(tyop_2Emin_2Ebool, _u69)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq2_2Ec_2Ebool_2E_5C_2F_2E2 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2-1, axiom, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _u76))), s(tyop_2Emin_2Ebool, _u74)))) | ~p(s(tyop_2Emin_2Ebool, _u76)) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2-2, axiom, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _u76))), s(tyop_2Emin_2Ebool, _u74)))) | ~p(s(tyop_2Emin_2Ebool, _u74)) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2-3, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _u77))), s(tyop_2Emin_2Ebool, _u75)))) | p(s(tyop_2Emin_2Ebool, _u77)) | p(s(tyop_2Emin_2Ebool, _u75)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq1_2Ec_2Ebool_2E_7E_2E1 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq1_2Ec_2Ebool_2E_7E_2E1-1, axiom, ( p(s(tyop_2Emin_2Ebool, _u79)) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _u79)))) )).
% 12.17/12.35 cnf(arityeq1_2Ec_2Ebool_2E_7E_2E1-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _u80)))) | ~p(s(tyop_2Emin_2Ebool, _u80)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2-1, axiom, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _u85))), s(tyop_2Emin_2Ebool, _u83)))) | p(s(tyop_2Emin_2Ebool, _u85)) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2-2, axiom, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _u85))), s(tyop_2Emin_2Ebool, _u83)))) | ~p(s(tyop_2Emin_2Ebool, _u83)) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2-3, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _u86))), s(tyop_2Emin_2Ebool, _u84)))) | ~p(s(tyop_2Emin_2Ebool, _u86)) | p(s(tyop_2Emin_2Ebool, _u84)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a-1, axiom, ( ( s(_u94, _u92) != s(_u94, _u90)) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u94, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_u94, tyop_2Emin_2Efun(_u94, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_u94, _u92))), s(_u94, _u90)))) )).
% 12.17/12.35 cnf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u95, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_u95, tyop_2Emin_2Efun(_u95, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_u95, _u93))), s(_u95, _u91)))) | ( s(_u95, _u93) = s(_u95, _u91)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a-1, axiom, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_u97, tyop_2Emin_2Ebool), _u96))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u97, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(_u97, tyop_2Emin_2Ebool), _u96)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a-1, axiom, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_u99, tyop_2Emin_2Ebool), _u98))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u99, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(_u99, tyop_2Emin_2Ebool), _u98)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b-1, axiom, ( ( s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u103, tyop_2Emin_2Ebool), _u101), s(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), _u100))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u103, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Ecardinal_2Ecardleq_2E0), s(tyop_2Emin_2Efun(_u103, tyop_2Emin_2Ebool), _u101))), s(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), _u100)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a ( axiom ) converted to clauses:
% 12.17/12.35 cnf(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a-1, axiom, ( ( s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u106, tyop_2Emin_2Ebool), _u105), s(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), _u104))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u106, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Ecardinal_2Ecardleq_2E0), s(tyop_2Emin_2Efun(_u106, tyop_2Emin_2Ebool), _u105))), s(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), _u104)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2ETRUTH ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2ETRUTH-1, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2EFALSITY ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2EFALSITY-1, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | p(s(tyop_2Emin_2Ebool, _u108)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2EFORALL__SIMP ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2EFORALL__SIMP, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2EIMP__CLAUSES ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-1, axiom, ( p(s(tyop_2Emin_2Ebool, _u121)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-2, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, _u123)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-3, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-4, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, _u125)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-5, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | p(s(tyop_2Emin_2Ebool, _u126)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-6, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, _u129)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-7, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, _u130)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EIMP__CLAUSES-8, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u131)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2ENOT__CLAUSES ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2ENOT__CLAUSES-1, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35 cnf(thm_2Ebool_2ENOT__CLAUSES-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35 cnf(thm_2Ebool_2ENOT__CLAUSES-3, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35 cnf(thm_2Ebool_2ENOT__CLAUSES-4, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2EREFL__CLAUSE ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2EREFL__CLAUSE-1, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ( s(_u140, _u138) != s(_u140, _u138)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EREFL__CLAUSE-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ( s(_u141, _u139) = s(_u141, _u139)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ebool_2EEQ__CLAUSES ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-1, axiom, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool, _u147)) | p(s(tyop_2Emin_2Ebool, _u147)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-2, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u148)) | ( s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _u148)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-3, axiom, ( ( s(tyop_2Emin_2Ebool, _u149) != s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, _u149)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-4, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u150)) | ( s(tyop_2Emin_2Ebool, _u150) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-5, axiom, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool, _u151)) | ~p(s(tyop_2Emin_2Ebool, _u151)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-6, axiom, ( p(s(tyop_2Emin_2Ebool, _u152)) | ( s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _u152)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-7, axiom, ( ( s(tyop_2Emin_2Ebool, _u153) != s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | ~p(s(tyop_2Emin_2Ebool, _u153)) )).
% 12.17/12.35 cnf(thm_2Ebool_2EEQ__CLAUSES-8, axiom, ( p(s(tyop_2Emin_2Ebool, _u154)) | ( s(tyop_2Emin_2Ebool, _u154) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ecardinal_2ECARD__LE__TOTAL ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Ecardinal_2ECARD__LE__TOTAL-1, axiom, ( p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u158, tyop_2Emin_2Ebool), _u156), s(tyop_2Emin_2Efun(_u157, tyop_2Emin_2Ebool), _u155)))) | p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u157, tyop_2Emin_2Ebool), _u155), s(tyop_2Emin_2Efun(_u158, tyop_2Emin_2Ebool), _u156)))) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2ENOT__NOT ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2ENOT__NOT, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2EAND__INV__IMP ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2EAND__INV__IMP, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2EOR__DUAL2 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2EOR__DUAL2, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2EOR__DUAL3 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2EOR__DUAL3, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2EAND__INV2 ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2EAND__INV2, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2Edc__eq ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-1, axiom, ( p(s(tyop_2Emin_2Ebool, _u179)) | p(s(tyop_2Emin_2Ebool, _u181)) | p(s(tyop_2Emin_2Ebool, _u183)) | ( s(tyop_2Emin_2Ebool, _u181) = s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-2, axiom, ( p(s(tyop_2Emin_2Ebool, _u179)) | ~p(s(tyop_2Emin_2Ebool, _u183)) | ~p(s(tyop_2Emin_2Ebool, _u181)) | ( s(tyop_2Emin_2Ebool, _u181) = s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-3, axiom, ( p(s(tyop_2Emin_2Ebool, _u181)) | ~p(s(tyop_2Emin_2Ebool, _u183)) | ~p(s(tyop_2Emin_2Ebool, _u179)) | ( s(tyop_2Emin_2Ebool, _u181) != s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-4, axiom, ( p(s(tyop_2Emin_2Ebool, _u183)) | ~p(s(tyop_2Emin_2Ebool, _u181)) | ~p(s(tyop_2Emin_2Ebool, _u179)) | ( s(tyop_2Emin_2Ebool, _u181) != s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-5, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | ~p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-6, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-7, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-8, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-9, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | ~p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-10, axiom, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-11, axiom, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-12, axiom, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-13, axiom, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-14, axiom, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-15, axiom, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35 cnf(thm_2Esat_2Edc__eq-16, axiom, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Esat_2Edc__neg ( axiom ) converted to clauses:
% 12.17/12.35 cnf(thm_2Esat_2Edc__neg, axiom, $true).
% 12.17/12.35
% 12.17/12.35 % Formula: thm_2Ecardinal_2ECARD__NOT__LE ( conjecture ) (definitionally) converted to clauses:
% 12.17/12.35 cnf(thm_2Ecardinal_2ECARD__NOT__LE-1, negated_conjecture, ( ~_def0 | ~_def1 )).
% 12.17/12.35 cnf(thm_2Ecardinal_2ECARD__NOT__LE-2, negated_conjecture, ( _def0 | ~p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.35 cnf(thm_2Ecardinal_2ECARD__NOT__LE-3, negated_conjecture, ( _def0 | p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.35 cnf(thm_2Ecardinal_2ECARD__NOT__LE-4, negated_conjecture, ( _def1 | ~p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.35 cnf(thm_2Ecardinal_2ECARD__NOT__LE-5, negated_conjecture, ( _def1 | p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.35
% 12.17/12.35 % Problem matrix:
% 12.17/12.35 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.17/12.35 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.17/12.35 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.17/12.35 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tyop_2Emin_2Efun(__eqx_0, __eqx_1) = tyop_2Emin_2Efun(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( s(__eqx_0, __eqx_1) = s(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( app_2E2(__eqx_0, __eqx_1) = app_2E2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_2Ebool_2E_2F_5C_2E2(__eqx_0, __eqx_1) = c_2Ebool_2E_2F_5C_2E2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_2Ebool_2E_5C_2F_2E2(__eqx_0, __eqx_1) = c_2Ebool_2E_5C_2F_2E2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_2Ebool_2E_7E_2E1(__eqx_0) = c_2Ebool_2E_7E_2E1(__eqy_0)) )).
% 12.17/12.35 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_2Emin_2E_3D_3D_3E_2E2(__eqx_0, __eqx_1) = c_2Emin_2E_3D_3D_3E_2E2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_2Emin_2E_3D_2E2(__eqx_0, __eqx_1) = c_2Emin_2E_3D_2E2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_2Ebool_2E_21_2E1(__eqx_0) = c_2Ebool_2E_21_2E1(__eqy_0)) )).
% 12.17/12.35 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( c_2Ebool_2E_3F_2E1(__eqx_0) = c_2Ebool_2E_3F_2E1(__eqy_0)) )).
% 12.17/12.35 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_2Ecardinal_2Ecardleq_2E2(__eqx_0, __eqx_1) = c_2Ecardinal_2Ecardleq_2E2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.17/12.35 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 12.17/12.35 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~p(__eqx_0) | p(__eqy_0) )).
% 12.17/12.35 cnf(matrix-18, plain, ( ( s(_u3, app_2E2(s(tyop_2Emin_2Efun(_u4, _u3), _u2), s(_u4, skolem1(_u4, _u3, _u2, _u1)))) != s(_u3, app_2E2(s(tyop_2Emin_2Efun(_u4, _u3), _u1), s(_u4, skolem1(_u4, _u3, _u2, _u1))))) | ( s(tyop_2Emin_2Efun(_u4, _u3), _u2) = s(tyop_2Emin_2Efun(_u4, _u3), _u1)) )).
% 12.17/12.35 cnf(matrix-19, plain, ( ( s(tyop_2Emin_2Ebool, _u6) = s(tyop_2Emin_2Ebool, _u5)) | p(s(tyop_2Emin_2Ebool, _u6)) | p(s(tyop_2Emin_2Ebool, _u5)) )).
% 12.17/12.35 cnf(matrix-20, plain, ( ( s(tyop_2Emin_2Ebool, _u6) = s(tyop_2Emin_2Ebool, _u5)) | ~p(s(tyop_2Emin_2Ebool, _u5)) | ~p(s(tyop_2Emin_2Ebool, _u6)) )).
% 12.17/12.35 cnf(matrix-21, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.35 cnf(matrix-22, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35 cnf(matrix-23, plain, ( ( s(tyop_2Emin_2Ebool, _u7) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ( s(tyop_2Emin_2Ebool, _u7) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.35 cnf(matrix-24, plain, ( ( s(_u9, app_2E2(s(tyop_2Emin_2Efun(_u9, _u9), combin_i_2E0), s(_u9, _u8))) = s(_u9, _u8)) )).
% 12.17/12.35 cnf(matrix-25, plain, ( ( s(_u13, app_2E2(s(tyop_2Emin_2Efun(_u12, _u13), app_2E2(s(tyop_2Emin_2Efun(_u13, tyop_2Emin_2Efun(_u12, _u13)), combin_k_2E0), s(_u13, _u11))), s(_u12, _u10))) = s(_u13, _u11)) )).
% 12.17/12.35 cnf(matrix-26, plain, ( ( s(_u17, app_2E2(s(tyop_2Emin_2Efun(_u19, _u17), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u19, _u18), tyop_2Emin_2Efun(_u19, _u17)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u19, tyop_2Emin_2Efun(_u18, _u17)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u19, _u18), tyop_2Emin_2Efun(_u19, _u17))), combin_s_2E0), s(tyop_2Emin_2Efun(_u19, tyop_2Emin_2Efun(_u18, _u17)), _u16))), s(tyop_2Emin_2Efun(_u19, _u18), _u15))), s(_u19, _u14))) = s(_u17, app_2E2(s(tyop_2Emin_2Efun(_u18, _u17), app_2E2(s(tyop_2Emin_2Efun(_u19, tyop_2Emin_2Efun(_u18, _u17)), _u16), s(_u19, _u14))), s(_u18, app_2E2(s(tyop_2Emin_2Efun(_u19, _u18), _u15), s(_u19, _u14)))))) )).
% 12.17/12.35 cnf(matrix-27, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _u24), s(tyop_2Emin_2Ebool, _u22)))) | p(s(tyop_2Emin_2Ebool, _u24)) )).
% 12.17/12.35 cnf(matrix-28, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _u24), s(tyop_2Emin_2Ebool, _u22)))) | p(s(tyop_2Emin_2Ebool, _u22)) )).
% 12.17/12.35 cnf(matrix-29, plain, ( ~p(s(tyop_2Emin_2Ebool, _u25)) | ~p(s(tyop_2Emin_2Ebool, _u23)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _u25), s(tyop_2Emin_2Ebool, _u23)))) )).
% 12.17/12.35 cnf(matrix-30, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _u30), s(tyop_2Emin_2Ebool, _u28)))) | p(s(tyop_2Emin_2Ebool, _u30)) | p(s(tyop_2Emin_2Ebool, _u28)) )).
% 12.17/12.35 cnf(matrix-31, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _u31), s(tyop_2Emin_2Ebool, _u29)))) | ~p(s(tyop_2Emin_2Ebool, _u31)) )).
% 12.17/12.35 cnf(matrix-32, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _u31), s(tyop_2Emin_2Ebool, _u29)))) | ~p(s(tyop_2Emin_2Ebool, _u29)) )).
% 12.17/12.35 cnf(matrix-33, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _u33)))) | ~p(s(tyop_2Emin_2Ebool, _u33)) )).
% 12.17/12.35 cnf(matrix-34, plain, ( p(s(tyop_2Emin_2Ebool, _u34)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _u34)))) )).
% 12.17/12.35 cnf(matrix-35, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _u39), s(tyop_2Emin_2Ebool, _u37)))) | ~p(s(tyop_2Emin_2Ebool, _u39)) | p(s(tyop_2Emin_2Ebool, _u37)) )).
% 12.17/12.35 cnf(matrix-36, plain, ( p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _u40), s(tyop_2Emin_2Ebool, _u38)))) | p(s(tyop_2Emin_2Ebool, _u40)) )).
% 12.17/12.35 cnf(matrix-37, plain, ( p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _u40), s(tyop_2Emin_2Ebool, _u38)))) | ~p(s(tyop_2Emin_2Ebool, _u38)) )).
% 12.17/12.35 cnf(matrix-38, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_u48, _u46), s(_u48, _u44)))) | ( s(_u48, _u46) = s(_u48, _u44)) )).
% 12.17/12.35 cnf(matrix-39, plain, ( ( s(_u49, _u47) != s(_u49, _u45)) | p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_u49, _u47), s(_u49, _u45)))) )).
% 12.17/12.35 cnf(matrix-40, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_u56, tyop_2Emin_2Ebool), _u54)))) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u56, tyop_2Emin_2Ebool), _u54), s(_u56, _u50)))) )).
% 12.17/12.35 cnf(matrix-41, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u57, tyop_2Emin_2Ebool), _u55), s(_u57, skolem2(_u57, _u55))))) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_u57, tyop_2Emin_2Ebool), _u55)))) )).
% 12.17/12.35 cnf(matrix-42, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_u64, tyop_2Emin_2Ebool), _u62)))) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u64, tyop_2Emin_2Ebool), _u62), s(_u64, skolem3(_u64, _u62))))) )).
% 12.17/12.35 cnf(matrix-43, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u65, tyop_2Emin_2Ebool), _u63), s(_u65, _u59)))) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_u65, tyop_2Emin_2Ebool), _u63)))) )).
% 12.17/12.35 cnf(matrix-44, plain, ( ~p(s(tyop_2Emin_2Ebool, _u70)) | ~p(s(tyop_2Emin_2Ebool, _u68)) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _u70))), s(tyop_2Emin_2Ebool, _u68)))) )).
% 12.17/12.35 cnf(matrix-45, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _u71))), s(tyop_2Emin_2Ebool, _u69)))) | p(s(tyop_2Emin_2Ebool, _u71)) )).
% 12.17/12.35 cnf(matrix-46, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _u71))), s(tyop_2Emin_2Ebool, _u69)))) | p(s(tyop_2Emin_2Ebool, _u69)) )).
% 12.17/12.35 cnf(matrix-47, plain, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _u76))), s(tyop_2Emin_2Ebool, _u74)))) | ~p(s(tyop_2Emin_2Ebool, _u76)) )).
% 12.17/12.35 cnf(matrix-48, plain, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _u76))), s(tyop_2Emin_2Ebool, _u74)))) | ~p(s(tyop_2Emin_2Ebool, _u74)) )).
% 12.17/12.35 cnf(matrix-49, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _u77))), s(tyop_2Emin_2Ebool, _u75)))) | p(s(tyop_2Emin_2Ebool, _u77)) | p(s(tyop_2Emin_2Ebool, _u75)) )).
% 12.17/12.35 cnf(matrix-50, plain, ( p(s(tyop_2Emin_2Ebool, _u79)) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _u79)))) )).
% 12.17/12.35 cnf(matrix-51, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _u80)))) | ~p(s(tyop_2Emin_2Ebool, _u80)) )).
% 12.17/12.35 cnf(matrix-52, plain, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _u85))), s(tyop_2Emin_2Ebool, _u83)))) | p(s(tyop_2Emin_2Ebool, _u85)) )).
% 12.17/12.35 cnf(matrix-53, plain, ( p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _u85))), s(tyop_2Emin_2Ebool, _u83)))) | ~p(s(tyop_2Emin_2Ebool, _u83)) )).
% 12.17/12.35 cnf(matrix-54, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _u86))), s(tyop_2Emin_2Ebool, _u84)))) | ~p(s(tyop_2Emin_2Ebool, _u86)) | p(s(tyop_2Emin_2Ebool, _u84)) )).
% 12.17/12.35 cnf(matrix-55, plain, ( ( s(_u94, _u92) != s(_u94, _u90)) | p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u94, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_u94, tyop_2Emin_2Efun(_u94, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_u94, _u92))), s(_u94, _u90)))) )).
% 12.17/12.35 cnf(matrix-56, plain, ( ~p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_u95, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_u95, tyop_2Emin_2Efun(_u95, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_u95, _u93))), s(_u95, _u91)))) | ( s(_u95, _u93) = s(_u95, _u91)) )).
% 12.17/12.35 cnf(matrix-57, plain, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_u97, tyop_2Emin_2Ebool), _u96))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u97, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(_u97, tyop_2Emin_2Ebool), _u96)))) )).
% 12.17/12.35 cnf(matrix-58, plain, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_u99, tyop_2Emin_2Ebool), _u98))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u99, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(_u99, tyop_2Emin_2Ebool), _u98)))) )).
% 12.17/12.36 cnf(matrix-59, plain, ( ( s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u103, tyop_2Emin_2Ebool), _u101), s(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), _u100))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u103, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Ecardinal_2Ecardleq_2E0), s(tyop_2Emin_2Efun(_u103, tyop_2Emin_2Ebool), _u101))), s(tyop_2Emin_2Efun(_u102, tyop_2Emin_2Ebool), _u100)))) )).
% 12.17/12.36 cnf(matrix-60, plain, ( ( s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u106, tyop_2Emin_2Ebool), _u105), s(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), _u104))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u106, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Ecardinal_2Ecardleq_2E0), s(tyop_2Emin_2Efun(_u106, tyop_2Emin_2Ebool), _u105))), s(tyop_2Emin_2Efun(_u107, tyop_2Emin_2Ebool), _u104)))) )).
% 12.17/12.36 cnf(matrix-61, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.36 cnf(matrix-62, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | p(s(tyop_2Emin_2Ebool, _u108)) )).
% 12.17/12.36 cnf(matrix-63, plain, ( p(s(tyop_2Emin_2Ebool, _u121)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.36 cnf(matrix-64, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, _u123)) )).
% 12.17/12.36 cnf(matrix-65, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.36 cnf(matrix-66, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, _u125)) )).
% 12.17/12.36 cnf(matrix-67, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | p(s(tyop_2Emin_2Ebool, _u126)) )).
% 12.17/12.36 cnf(matrix-68, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, _u129)) )).
% 12.17/12.36 cnf(matrix-69, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, _u130)) )).
% 12.17/12.36 cnf(matrix-70, plain, ( ~p(s(tyop_2Emin_2Ebool, _u131)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.36 cnf(matrix-71, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.36 cnf(matrix-72, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.36 cnf(matrix-73, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.36 cnf(matrix-74, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.36 cnf(matrix-75, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ( s(_u140, _u138) != s(_u140, _u138)) )).
% 12.17/12.36 cnf(matrix-76, plain, ( ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | ( s(_u141, _u139) = s(_u141, _u139)) )).
% 12.17/12.36 cnf(matrix-77, plain, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool, _u147)) | p(s(tyop_2Emin_2Ebool, _u147)) )).
% 12.17/12.36 cnf(matrix-78, plain, ( ~p(s(tyop_2Emin_2Ebool, _u148)) | ( s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _u148)) )).
% 12.17/12.36 cnf(matrix-79, plain, ( ( s(tyop_2Emin_2Ebool, _u149) != s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | p(s(tyop_2Emin_2Ebool, _u149)) )).
% 12.17/12.36 cnf(matrix-80, plain, ( ~p(s(tyop_2Emin_2Ebool, _u150)) | ( s(tyop_2Emin_2Ebool, _u150) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) )).
% 12.17/12.36 cnf(matrix-81, plain, ( ( s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool, _u151)) | ~p(s(tyop_2Emin_2Ebool, _u151)) )).
% 12.17/12.36 cnf(matrix-82, plain, ( p(s(tyop_2Emin_2Ebool, _u152)) | ( s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _u152)) )).
% 12.17/12.36 cnf(matrix-83, plain, ( ( s(tyop_2Emin_2Ebool, _u153) != s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) | ~p(s(tyop_2Emin_2Ebool, _u153)) )).
% 12.17/12.36 cnf(matrix-84, plain, ( p(s(tyop_2Emin_2Ebool, _u154)) | ( s(tyop_2Emin_2Ebool, _u154) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) )).
% 12.17/12.36 cnf(matrix-85, plain, ( p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u158, tyop_2Emin_2Ebool), _u156), s(tyop_2Emin_2Efun(_u157, tyop_2Emin_2Ebool), _u155)))) | p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_u157, tyop_2Emin_2Ebool), _u155), s(tyop_2Emin_2Efun(_u158, tyop_2Emin_2Ebool), _u156)))) )).
% 12.17/12.36 cnf(matrix-86, plain, ( p(s(tyop_2Emin_2Ebool, _u179)) | p(s(tyop_2Emin_2Ebool, _u181)) | p(s(tyop_2Emin_2Ebool, _u183)) | ( s(tyop_2Emin_2Ebool, _u181) = s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.36 cnf(matrix-87, plain, ( p(s(tyop_2Emin_2Ebool, _u179)) | ~p(s(tyop_2Emin_2Ebool, _u183)) | ~p(s(tyop_2Emin_2Ebool, _u181)) | ( s(tyop_2Emin_2Ebool, _u181) = s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.36 cnf(matrix-88, plain, ( p(s(tyop_2Emin_2Ebool, _u181)) | ~p(s(tyop_2Emin_2Ebool, _u183)) | ~p(s(tyop_2Emin_2Ebool, _u179)) | ( s(tyop_2Emin_2Ebool, _u181) != s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.36 cnf(matrix-89, plain, ( p(s(tyop_2Emin_2Ebool, _u183)) | ~p(s(tyop_2Emin_2Ebool, _u181)) | ~p(s(tyop_2Emin_2Ebool, _u179)) | ( s(tyop_2Emin_2Ebool, _u181) != s(tyop_2Emin_2Ebool, _u183)) )).
% 12.17/12.36 cnf(matrix-90, plain, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | ~p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.36 cnf(matrix-91, plain, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-92, plain, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-93, plain, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-94, plain, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | ~p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.36 cnf(matrix-95, plain, ( ~p(s(tyop_2Emin_2Ebool, _u180)) | ( s(tyop_2Emin_2Ebool, _u182) = s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | ~p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-96, plain, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.36 cnf(matrix-97, plain, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.36 cnf(matrix-98, plain, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u182)) | p(s(tyop_2Emin_2Ebool, _u184)) )).
% 12.17/12.36 cnf(matrix-99, plain, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-100, plain, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-101, plain, ( ( s(tyop_2Emin_2Ebool, _u182) != s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u180)) | ~p(s(tyop_2Emin_2Ebool, _u184)) | p(s(tyop_2Emin_2Ebool, _u182)) )).
% 12.17/12.36 cnf(matrix-102, plain, ( ~_def0 | ~_def1 )).
% 12.17/12.36 cnf(matrix-103, plain, ( _def0 | ~p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.36 cnf(matrix-104, plain, ( _def0 | p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.36 cnf(matrix-105, plain, ( _def1 | ~p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.36 cnf(matrix-106, plain, ( _def1 | p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(skolem4, tyop_2Emin_2Ebool), skolem6), s(tyop_2Emin_2Efun(skolem5, tyop_2Emin_2Ebool), skolem7)))) )).
% 12.17/12.36
% 12.17/12.36 % Proof stack:
% 12.17/12.36 cnf(proof-stack, plain,
% 12.17/12.36 proof_stack(
% 12.17/12.36 start(102),
% 12.17/12.36 left_branch(0, 104, 0, 2),
% 12.17/12.36 left_branch(0, 103, 1, 3),
% 12.17/12.36 reduction(0, 0),
% 12.17/12.36 right_branch(3),
% 12.17/12.36 right_branch(2),
% 12.17/12.36 left_branch(0, 106, 0, 3),
% 12.17/12.36 left_branch(0, 105, 1, 4),
% 12.17/12.36 reduction(0, 0),
% 12.17/12.36 right_branch(4),
% 12.17/12.36 right_branch(3)
% 12.17/12.36 )).
% 12.17/12.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------