TSTP Solution File: SYN917+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n006.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 14:43:45 EDT 2024
% Result : Theorem 51.57s 51.77s
% Output : Proof 51.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n006.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 : Wed Mar 20 22:38:59 EDT 2024
% 0.13/0.33 % CPUTime :
% 51.57/51.77 % SZS status Theorem for theBenchmark
% 51.57/51.77 % SZS output start Proof for theBenchmark
% 51.57/51.77
% 51.57/51.77 % Formula: prove_this ( conjecture ) (definitionally) converted to clauses:
% 51.57/51.77 cnf(prove_this-1, negated_conjecture, ( ~_def2(_u5, _u3, _u4, _u2, _u1) | ~_def3(_u7, _u8, _u10, _u9, _u6) | ~_def6(_u18, _u16, _u15, _u17) | ~_def7(_u20) | ~_def8(_u21) | ~_def9(_u24, _u25) | ~_def10(_u28, _u27) | ~_def11(_u32, _u31) | ~_def12(_u35) | ~_def13(_u37) | ~_def14(_u40, _u39) | ~_def15(_u41) | ~_def16(_u43, _u44) | ~_def17(_u45) | ~_def18(_u48) | ~_def19(_u50) | ~_def20(_u53) | ~_def21(_u55) | ~_def22 | ~_def23 | ~_def24 | ~_def25 | ~_def26(_u61) | ~_def27(_u63) | ~_def28(_u65) | ~_def29(_u67) | ~_def30(_u68) | ~_def31(_u70) | ~_def32(_u72) | ~_def33(_u74) )).
% 51.57/51.77 cnf(prove_this-2, negated_conjecture, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~_def0(_u1) | ~_def1(_u1) )).
% 51.57/51.77 cnf(prove_this-3, negated_conjecture, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~f(_u2) | g(_u2) | ~f(_u3) | h(_u3) )).
% 51.57/51.77 cnf(prove_this-4, negated_conjecture, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~f(_u4) | ~h(_u4) | g(_u4) )).
% 51.57/51.77 cnf(prove_this-5, negated_conjecture, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~f(_u5) | ~g(_u5) | h(_u5) )).
% 51.57/51.77 cnf(prove_this-6, negated_conjecture, ( _def0(_u1) | f(_u1) )).
% 51.57/51.77 cnf(prove_this-7, negated_conjecture, ( _def0(_u1) | g(_u1) )).
% 51.57/51.77 cnf(prove_this-8, negated_conjecture, ( _def0(_u1) | ~h(_u1) )).
% 51.57/51.77 cnf(prove_this-9, negated_conjecture, ( _def1(_u1) | f(skolem1(_u1)) )).
% 51.57/51.77 cnf(prove_this-10, negated_conjecture, ( _def1(_u1) | ~g(skolem1(_u1)) )).
% 51.57/51.77 cnf(prove_this-11, negated_conjecture, ( _def3(_u7, _u8, _u10, _u9, _u6) | ~r(_u7, _u6) | r(_u6, _u7) )).
% 51.57/51.77 cnf(prove_this-12, negated_conjecture, ( _def3(_u7, _u8, _u10, _u9, _u6) | ~r(_u10, _u9) | ~r(_u9, _u8) | r(_u10, _u8) )).
% 51.57/51.77 cnf(prove_this-13, negated_conjecture, ( _def3(_u7, _u8, _u10, _u9, _u6) | r(skolem2, skolem3) )).
% 51.57/51.77 cnf(prove_this-14, negated_conjecture, ( _def3(_u7, _u8, _u10, _u9, _u6) | ~r(skolem2, skolem2) )).
% 51.57/51.77 cnf(prove_this-15, negated_conjecture, ( _def6(_u18, _u16, _u15, _u17) | ~_def4 | ~_def5 )).
% 51.57/51.77 cnf(prove_this-16, negated_conjecture, ( _def6(_u18, _u16, _u15, _u17) | ~f(_u15) | g(_u15) | ~f(_u16) | h(_u16) )).
% 51.57/51.77 cnf(prove_this-17, negated_conjecture, ( _def6(_u18, _u16, _u15, _u17) | ~f(_u17) | ~h(_u17) | g(_u17) )).
% 51.57/51.77 cnf(prove_this-18, negated_conjecture, ( _def6(_u18, _u16, _u15, _u17) | ~f(_u18) | ~g(_u18) | h(_u18) )).
% 51.57/51.77 cnf(prove_this-19, negated_conjecture, ( _def4 | f(skolem4) )).
% 51.57/51.77 cnf(prove_this-20, negated_conjecture, ( _def4 | g(skolem4) )).
% 51.57/51.77 cnf(prove_this-21, negated_conjecture, ( _def4 | ~h(skolem4) )).
% 51.57/51.77 cnf(prove_this-22, negated_conjecture, ( _def5 | f(skolem5) )).
% 51.57/51.77 cnf(prove_this-23, negated_conjecture, ( _def5 | ~g(skolem5) )).
% 51.57/51.77 cnf(prove_this-24, negated_conjecture, ( _def7(_u20) | ~p(skolem6(_u20)) | q(_u20) )).
% 51.57/51.77 cnf(prove_this-25, negated_conjecture, ( _def7(_u20) | p(_u20) )).
% 51.57/51.77 cnf(prove_this-26, negated_conjecture, ( _def7(_u20) | ~q(_u20) )).
% 51.57/51.77 cnf(prove_this-27, negated_conjecture, ( _def8(_u21) | p(_u21) )).
% 51.57/51.77 cnf(prove_this-28, negated_conjecture, ( _def8(_u21) | q(_u21) )).
% 51.57/51.77 cnf(prove_this-29, negated_conjecture, ( _def8(_u21) | ~p(skolem7) | ~q(skolem8) )).
% 51.57/51.77 cnf(prove_this-30, negated_conjecture, ( _def9(_u24, _u25) | p(_u24) )).
% 51.57/51.77 cnf(prove_this-31, negated_conjecture, ( _def9(_u24, _u25) | q(_u25) )).
% 51.57/51.77 cnf(prove_this-32, negated_conjecture, ( _def9(_u24, _u25) | ~p(skolem9) | ~q(skolem9) )).
% 51.57/51.77 cnf(prove_this-33, negated_conjecture, ( _def10(_u28, _u27) | p(_u27) | q(_u28) )).
% 51.57/51.77 cnf(prove_this-34, negated_conjecture, ( _def10(_u28, _u27) | ~p(skolem10) )).
% 51.57/51.77 cnf(prove_this-35, negated_conjecture, ( _def10(_u28, _u27) | ~q(skolem10) )).
% 51.57/51.77 cnf(prove_this-36, negated_conjecture, ( _def11(_u32, _u31) | p(skolem11) | q(skolem11) )).
% 51.57/51.77 cnf(prove_this-37, negated_conjecture, ( _def11(_u32, _u31) | ~p(_u31) )).
% 51.57/51.77 cnf(prove_this-38, negated_conjecture, ( _def11(_u32, _u31) | ~q(_u32) )).
% 51.57/51.77 cnf(prove_this-39, negated_conjecture, ( _def12(_u35) | p(skolem12) | q(skolem13) )).
% 51.57/51.77 cnf(prove_this-40, negated_conjecture, ( _def12(_u35) | ~p(_u35) )).
% 51.57/51.77 cnf(prove_this-41, negated_conjecture, ( _def12(_u35) | ~q(_u35) )).
% 51.57/51.77 cnf(prove_this-42, negated_conjecture, ( _def13(_u37) | p(_u37) )).
% 51.57/51.77 cnf(prove_this-43, negated_conjecture, ( _def13(_u37) | ~p(skolem14(_u37)) )).
% 51.57/51.77 cnf(prove_this-44, negated_conjecture, ( _def14(_u40, _u39) | p(skolem15) )).
% 51.57/51.77 cnf(prove_this-45, negated_conjecture, ( _def14(_u40, _u39) | q(skolem15) )).
% 51.57/51.77 cnf(prove_this-46, negated_conjecture, ( _def14(_u40, _u39) | ~p(_u39) | ~q(_u40) )).
% 51.57/51.77 cnf(prove_this-47, negated_conjecture, ( _def15(_u41) | p(_u41) )).
% 51.57/51.77 cnf(prove_this-48, negated_conjecture, ( _def15(_u41) | ~p(skolem16) )).
% 51.57/51.77 cnf(prove_this-49, negated_conjecture, ( _def16(_u43, _u44) | p(_u43) )).
% 51.57/51.77 cnf(prove_this-50, negated_conjecture, ( _def16(_u43, _u44) | ~p(_u44) )).
% 51.57/51.77 cnf(prove_this-51, negated_conjecture, ( _def17(_u45) | ~p(_u45) )).
% 51.57/51.77 cnf(prove_this-52, negated_conjecture, ( _def17(_u45) | p(skolem18) )).
% 51.57/51.77 cnf(prove_this-53, negated_conjecture, ( _def17(_u45) | ~p(skolem17) )).
% 51.57/51.77 cnf(prove_this-54, negated_conjecture, ( _def18(_u48) | p(_u48) | c )).
% 51.57/51.77 cnf(prove_this-55, negated_conjecture, ( _def18(_u48) | ~p(skolem19) )).
% 51.57/51.77 cnf(prove_this-56, negated_conjecture, ( _def18(_u48) | ~c )).
% 51.57/51.77 cnf(prove_this-57, negated_conjecture, ( _def19(_u50) | p(_u50) | c )).
% 51.57/51.77 cnf(prove_this-58, negated_conjecture, ( _def19(_u50) | ~p(skolem20) )).
% 51.57/51.77 cnf(prove_this-59, negated_conjecture, ( _def19(_u50) | ~c )).
% 51.57/51.77 cnf(prove_this-60, negated_conjecture, ( _def20(_u53) | p(skolem21) )).
% 51.57/51.77 cnf(prove_this-61, negated_conjecture, ( _def20(_u53) | c )).
% 51.57/51.77 cnf(prove_this-62, negated_conjecture, ( _def20(_u53) | ~p(_u53) | ~c )).
% 51.57/51.77 cnf(prove_this-63, negated_conjecture, ( _def21(_u55) | p(skolem22) )).
% 51.57/51.77 cnf(prove_this-64, negated_conjecture, ( _def21(_u55) | c )).
% 51.57/51.77 cnf(prove_this-65, negated_conjecture, ( _def21(_u55) | ~p(_u55) | ~c )).
% 51.57/51.77 cnf(prove_this-66, negated_conjecture, ( _def22 | c )).
% 51.57/51.77 cnf(prove_this-67, negated_conjecture, ( _def22 | ~c )).
% 51.57/51.77 cnf(prove_this-68, negated_conjecture, ( _def23 | c )).
% 51.57/51.77 cnf(prove_this-69, negated_conjecture, ( _def23 | ~c )).
% 51.57/51.77 cnf(prove_this-70, negated_conjecture, ( _def24 | c )).
% 51.57/51.77 cnf(prove_this-71, negated_conjecture, ( _def24 | ~c )).
% 51.57/51.77 cnf(prove_this-72, negated_conjecture, ( _def25 | c )).
% 51.57/51.77 cnf(prove_this-73, negated_conjecture, ( _def25 | ~c )).
% 51.57/51.77 cnf(prove_this-74, negated_conjecture, ( _def26(_u61) | ~c | p(skolem23) )).
% 51.57/51.77 cnf(prove_this-75, negated_conjecture, ( _def26(_u61) | c )).
% 51.57/51.77 cnf(prove_this-76, negated_conjecture, ( _def26(_u61) | ~p(_u61) )).
% 51.57/51.77 cnf(prove_this-77, negated_conjecture, ( _def27(_u63) | ~c | p(skolem24) )).
% 51.57/51.77 cnf(prove_this-78, negated_conjecture, ( _def27(_u63) | c )).
% 51.57/51.77 cnf(prove_this-79, negated_conjecture, ( _def27(_u63) | ~p(_u63) )).
% 51.57/51.77 cnf(prove_this-80, negated_conjecture, ( _def28(_u65) | ~p(skolem25) | c )).
% 51.57/51.77 cnf(prove_this-81, negated_conjecture, ( _def28(_u65) | p(_u65) )).
% 51.57/51.77 cnf(prove_this-82, negated_conjecture, ( _def28(_u65) | ~c )).
% 51.57/51.77 cnf(prove_this-83, negated_conjecture, ( _def29(_u67) | ~p(skolem26) | c )).
% 51.57/51.77 cnf(prove_this-84, negated_conjecture, ( _def29(_u67) | p(_u67) )).
% 51.57/51.77 cnf(prove_this-85, negated_conjecture, ( _def29(_u67) | ~c )).
% 51.57/51.77 cnf(prove_this-86, negated_conjecture, ( _def30(_u68) | ~c | p(_u68) )).
% 51.57/51.77 cnf(prove_this-87, negated_conjecture, ( _def30(_u68) | c )).
% 51.57/51.77 cnf(prove_this-88, negated_conjecture, ( _def30(_u68) | ~p(skolem27) )).
% 51.57/51.77 cnf(prove_this-89, negated_conjecture, ( _def31(_u70) | ~c | p(_u70) )).
% 51.57/51.77 cnf(prove_this-90, negated_conjecture, ( _def31(_u70) | c )).
% 51.57/51.77 cnf(prove_this-91, negated_conjecture, ( _def31(_u70) | ~p(skolem28) )).
% 51.57/51.77 cnf(prove_this-92, negated_conjecture, ( _def32(_u72) | ~p(_u72) | c )).
% 51.57/51.77 cnf(prove_this-93, negated_conjecture, ( _def32(_u72) | p(skolem29) )).
% 51.57/51.77 cnf(prove_this-94, negated_conjecture, ( _def32(_u72) | ~c )).
% 51.57/51.77 cnf(prove_this-95, negated_conjecture, ( _def33(_u74) | ~p(_u74) | c )).
% 51.57/51.77 cnf(prove_this-96, negated_conjecture, ( _def33(_u74) | p(skolem30) )).
% 51.57/51.77 cnf(prove_this-97, negated_conjecture, ( _def33(_u74) | ~c )).
% 51.57/51.77
% 51.57/51.77 % Problem matrix:
% 51.57/51.77 cnf(matrix-0, plain, ( ~_def2(_u5, _u3, _u4, _u2, _u1) | ~_def3(_u7, _u8, _u10, _u9, _u6) | ~_def6(_u18, _u16, _u15, _u17) | ~_def7(_u20) | ~_def8(_u21) | ~_def9(_u24, _u25) | ~_def10(_u28, _u27) | ~_def11(_u32, _u31) | ~_def12(_u35) | ~_def13(_u37) | ~_def14(_u40, _u39) | ~_def15(_u41) | ~_def16(_u43, _u44) | ~_def17(_u45) | ~_def18(_u48) | ~_def19(_u50) | ~_def20(_u53) | ~_def21(_u55) | ~_def22 | ~_def23 | ~_def24 | ~_def25 | ~_def26(_u61) | ~_def27(_u63) | ~_def28(_u65) | ~_def29(_u67) | ~_def30(_u68) | ~_def31(_u70) | ~_def32(_u72) | ~_def33(_u74) )).
% 51.57/51.77 cnf(matrix-1, plain, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~_def0(_u1) | ~_def1(_u1) )).
% 51.57/51.77 cnf(matrix-2, plain, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~f(_u2) | g(_u2) | ~f(_u3) | h(_u3) )).
% 51.57/51.77 cnf(matrix-3, plain, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~f(_u4) | ~h(_u4) | g(_u4) )).
% 51.57/51.77 cnf(matrix-4, plain, ( _def2(_u5, _u3, _u4, _u2, _u1) | ~f(_u5) | ~g(_u5) | h(_u5) )).
% 51.57/51.77 cnf(matrix-5, plain, ( _def0(_u1) | f(_u1) )).
% 51.57/51.77 cnf(matrix-6, plain, ( _def0(_u1) | g(_u1) )).
% 51.57/51.77 cnf(matrix-7, plain, ( _def0(_u1) | ~h(_u1) )).
% 51.57/51.77 cnf(matrix-8, plain, ( _def1(_u1) | f(skolem1(_u1)) )).
% 51.57/51.77 cnf(matrix-9, plain, ( _def1(_u1) | ~g(skolem1(_u1)) )).
% 51.57/51.77 cnf(matrix-10, plain, ( _def3(_u7, _u8, _u10, _u9, _u6) | ~r(_u7, _u6) | r(_u6, _u7) )).
% 51.57/51.77 cnf(matrix-11, plain, ( _def3(_u7, _u8, _u10, _u9, _u6) | ~r(_u10, _u9) | ~r(_u9, _u8) | r(_u10, _u8) )).
% 51.57/51.77 cnf(matrix-12, plain, ( _def3(_u7, _u8, _u10, _u9, _u6) | r(skolem2, skolem3) )).
% 51.57/51.77 cnf(matrix-13, plain, ( _def3(_u7, _u8, _u10, _u9, _u6) | ~r(skolem2, skolem2) )).
% 51.57/51.77 cnf(matrix-14, plain, ( _def6(_u18, _u16, _u15, _u17) | ~_def4 | ~_def5 )).
% 51.57/51.77 cnf(matrix-15, plain, ( _def6(_u18, _u16, _u15, _u17) | ~f(_u15) | g(_u15) | ~f(_u16) | h(_u16) )).
% 51.57/51.77 cnf(matrix-16, plain, ( _def6(_u18, _u16, _u15, _u17) | ~f(_u17) | ~h(_u17) | g(_u17) )).
% 51.57/51.77 cnf(matrix-17, plain, ( _def6(_u18, _u16, _u15, _u17) | ~f(_u18) | ~g(_u18) | h(_u18) )).
% 51.57/51.77 cnf(matrix-18, plain, ( _def4 | f(skolem4) )).
% 51.57/51.77 cnf(matrix-19, plain, ( _def4 | g(skolem4) )).
% 51.57/51.77 cnf(matrix-20, plain, ( _def4 | ~h(skolem4) )).
% 51.57/51.77 cnf(matrix-21, plain, ( _def5 | f(skolem5) )).
% 51.57/51.77 cnf(matrix-22, plain, ( _def5 | ~g(skolem5) )).
% 51.57/51.77 cnf(matrix-23, plain, ( _def7(_u20) | ~p(skolem6(_u20)) | q(_u20) )).
% 51.57/51.77 cnf(matrix-24, plain, ( _def7(_u20) | p(_u20) )).
% 51.57/51.77 cnf(matrix-25, plain, ( _def7(_u20) | ~q(_u20) )).
% 51.57/51.77 cnf(matrix-26, plain, ( _def8(_u21) | p(_u21) )).
% 51.57/51.77 cnf(matrix-27, plain, ( _def8(_u21) | q(_u21) )).
% 51.57/51.77 cnf(matrix-28, plain, ( _def8(_u21) | ~p(skolem7) | ~q(skolem8) )).
% 51.57/51.77 cnf(matrix-29, plain, ( _def9(_u24, _u25) | p(_u24) )).
% 51.57/51.77 cnf(matrix-30, plain, ( _def9(_u24, _u25) | q(_u25) )).
% 51.57/51.77 cnf(matrix-31, plain, ( _def9(_u24, _u25) | ~p(skolem9) | ~q(skolem9) )).
% 51.57/51.77 cnf(matrix-32, plain, ( _def10(_u28, _u27) | p(_u27) | q(_u28) )).
% 51.57/51.77 cnf(matrix-33, plain, ( _def10(_u28, _u27) | ~p(skolem10) )).
% 51.57/51.77 cnf(matrix-34, plain, ( _def10(_u28, _u27) | ~q(skolem10) )).
% 51.57/51.77 cnf(matrix-35, plain, ( _def11(_u32, _u31) | p(skolem11) | q(skolem11) )).
% 51.57/51.77 cnf(matrix-36, plain, ( _def11(_u32, _u31) | ~p(_u31) )).
% 51.57/51.77 cnf(matrix-37, plain, ( _def11(_u32, _u31) | ~q(_u32) )).
% 51.57/51.77 cnf(matrix-38, plain, ( _def12(_u35) | p(skolem12) | q(skolem13) )).
% 51.57/51.77 cnf(matrix-39, plain, ( _def12(_u35) | ~p(_u35) )).
% 51.57/51.77 cnf(matrix-40, plain, ( _def12(_u35) | ~q(_u35) )).
% 51.57/51.77 cnf(matrix-41, plain, ( _def13(_u37) | p(_u37) )).
% 51.57/51.77 cnf(matrix-42, plain, ( _def13(_u37) | ~p(skolem14(_u37)) )).
% 51.57/51.77 cnf(matrix-43, plain, ( _def14(_u40, _u39) | p(skolem15) )).
% 51.57/51.77 cnf(matrix-44, plain, ( _def14(_u40, _u39) | q(skolem15) )).
% 51.57/51.77 cnf(matrix-45, plain, ( _def14(_u40, _u39) | ~p(_u39) | ~q(_u40) )).
% 51.57/51.77 cnf(matrix-46, plain, ( _def15(_u41) | p(_u41) )).
% 51.57/51.77 cnf(matrix-47, plain, ( _def15(_u41) | ~p(skolem16) )).
% 51.57/51.77 cnf(matrix-48, plain, ( _def16(_u43, _u44) | p(_u43) )).
% 51.57/51.77 cnf(matrix-49, plain, ( _def16(_u43, _u44) | ~p(_u44) )).
% 51.57/51.77 cnf(matrix-50, plain, ( _def17(_u45) | ~p(_u45) )).
% 51.57/51.77 cnf(matrix-51, plain, ( _def17(_u45) | p(skolem18) )).
% 51.57/51.77 cnf(matrix-52, plain, ( _def17(_u45) | ~p(skolem17) )).
% 51.57/51.77 cnf(matrix-53, plain, ( _def18(_u48) | p(_u48) | c )).
% 51.57/51.77 cnf(matrix-54, plain, ( _def18(_u48) | ~p(skolem19) )).
% 51.57/51.77 cnf(matrix-55, plain, ( _def18(_u48) | ~c )).
% 51.57/51.77 cnf(matrix-56, plain, ( _def19(_u50) | p(_u50) | c )).
% 51.57/51.77 cnf(matrix-57, plain, ( _def19(_u50) | ~p(skolem20) )).
% 51.57/51.77 cnf(matrix-58, plain, ( _def19(_u50) | ~c )).
% 51.57/51.77 cnf(matrix-59, plain, ( _def20(_u53) | p(skolem21) )).
% 51.57/51.77 cnf(matrix-60, plain, ( _def20(_u53) | c )).
% 51.57/51.77 cnf(matrix-61, plain, ( _def20(_u53) | ~p(_u53) | ~c )).
% 51.57/51.77 cnf(matrix-62, plain, ( _def21(_u55) | p(skolem22) )).
% 51.57/51.77 cnf(matrix-63, plain, ( _def21(_u55) | c )).
% 51.57/51.77 cnf(matrix-64, plain, ( _def21(_u55) | ~p(_u55) | ~c )).
% 51.57/51.77 cnf(matrix-65, plain, ( _def22 | c )).
% 51.57/51.77 cnf(matrix-66, plain, ( _def22 | ~c )).
% 51.57/51.77 cnf(matrix-67, plain, ( _def23 | c )).
% 51.57/51.77 cnf(matrix-68, plain, ( _def23 | ~c )).
% 51.57/51.77 cnf(matrix-69, plain, ( _def24 | c )).
% 51.57/51.77 cnf(matrix-70, plain, ( _def24 | ~c )).
% 51.57/51.77 cnf(matrix-71, plain, ( _def25 | c )).
% 51.57/51.77 cnf(matrix-72, plain, ( _def25 | ~c )).
% 51.57/51.77 cnf(matrix-73, plain, ( _def26(_u61) | ~c | p(skolem23) )).
% 51.57/51.77 cnf(matrix-74, plain, ( _def26(_u61) | c )).
% 51.57/51.77 cnf(matrix-75, plain, ( _def26(_u61) | ~p(_u61) )).
% 51.57/51.77 cnf(matrix-76, plain, ( _def27(_u63) | ~c | p(skolem24) )).
% 51.57/51.77 cnf(matrix-77, plain, ( _def27(_u63) | c )).
% 51.57/51.77 cnf(matrix-78, plain, ( _def27(_u63) | ~p(_u63) )).
% 51.57/51.77 cnf(matrix-79, plain, ( _def28(_u65) | ~p(skolem25) | c )).
% 51.57/51.77 cnf(matrix-80, plain, ( _def28(_u65) | p(_u65) )).
% 51.57/51.77 cnf(matrix-81, plain, ( _def28(_u65) | ~c )).
% 51.57/51.77 cnf(matrix-82, plain, ( _def29(_u67) | ~p(skolem26) | c )).
% 51.57/51.77 cnf(matrix-83, plain, ( _def29(_u67) | p(_u67) )).
% 51.57/51.77 cnf(matrix-84, plain, ( _def29(_u67) | ~c )).
% 51.57/51.77 cnf(matrix-85, plain, ( _def30(_u68) | ~c | p(_u68) )).
% 51.57/51.77 cnf(matrix-86, plain, ( _def30(_u68) | c )).
% 51.57/51.77 cnf(matrix-87, plain, ( _def30(_u68) | ~p(skolem27) )).
% 51.57/51.77 cnf(matrix-88, plain, ( _def31(_u70) | ~c | p(_u70) )).
% 51.57/51.77 cnf(matrix-89, plain, ( _def31(_u70) | c )).
% 51.57/51.77 cnf(matrix-90, plain, ( _def31(_u70) | ~p(skolem28) )).
% 51.57/51.77 cnf(matrix-91, plain, ( _def32(_u72) | ~p(_u72) | c )).
% 51.57/51.77 cnf(matrix-92, plain, ( _def32(_u72) | p(skolem29) )).
% 51.57/51.77 cnf(matrix-93, plain, ( _def32(_u72) | ~c )).
% 51.57/51.77 cnf(matrix-94, plain, ( _def33(_u74) | ~p(_u74) | c )).
% 51.57/51.77 cnf(matrix-95, plain, ( _def33(_u74) | p(skolem30) )).
% 51.57/51.77 cnf(matrix-96, plain, ( _def33(_u74) | ~c )).
% 51.57/51.77
% 51.57/51.77 % Proof stack:
% 51.57/51.77 cnf(proof-stack, plain,
% 51.57/51.77 proof_stack(
% 51.57/51.77 start(0),
% 51.57/51.77 left_branch(0, 4, 0, 2),
% 51.57/51.77 left_branch(0, 7, 1, 3),
% 51.57/51.77 left_branch(0, 1, 1, 4),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 9, 0, 6),
% 51.57/51.77 left_branch(0, 3, 3, 7),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 2, 4, 9),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 8, 1, 11),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 lemmata(0, 3),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 left_branch(0, 8, 1, 10),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(10),
% 51.57/51.77 right_branch(7),
% 51.57/51.77 right_branch(6),
% 51.57/51.77 right_branch(4),
% 51.57/51.77 right_branch(3),
% 51.57/51.77 left_branch(0, 6, 1, 4),
% 51.57/51.77 left_branch(0, 1, 1, 5),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 9, 0, 7),
% 51.57/51.77 left_branch(0, 3, 3, 8),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 2, 4, 10),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 8, 1, 12),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 lemmata(0, 4),
% 51.57/51.77 right_branch(10),
% 51.57/51.77 left_branch(0, 8, 1, 11),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 right_branch(8),
% 51.57/51.77 right_branch(7),
% 51.57/51.77 right_branch(5),
% 51.57/51.77 right_branch(4),
% 51.57/51.77 left_branch(0, 5, 1, 5),
% 51.57/51.77 left_branch(0, 1, 1, 6),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 9, 0, 8),
% 51.57/51.77 left_branch(0, 3, 3, 9),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 2, 4, 11),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 8, 1, 13),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 lemmata(0, 5),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 left_branch(0, 8, 1, 12),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 right_branch(8),
% 51.57/51.77 right_branch(6),
% 51.57/51.77 right_branch(5),
% 51.57/51.77 right_branch(2),
% 51.57/51.77 left_branch(0, 96, 0, 3),
% 51.57/51.77 left_branch(0, 94, 2, 4),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 95, 1, 6),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(6),
% 51.57/51.77 right_branch(4),
% 51.57/51.77 right_branch(3),
% 51.57/51.77 left_branch(0, 93, 0, 4),
% 51.57/51.77 left_branch(0, 94, 2, 5),
% 51.57/51.77 left_branch(0, 0, 29, 6),
% 51.57/51.77 left_branch(0, 1, 0, 7),
% 51.57/51.77 left_branch(0, 9, 0, 8),
% 51.57/51.77 left_branch(0, 2, 2, 9),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 8, 1, 11),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 left_branch(0, 3, 2, 12),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 5),
% 51.57/51.77 lemmata(0, 3),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 lemmata(0, 3),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 right_branch(8),
% 51.57/51.77 left_branch(0, 7, 0, 9),
% 51.57/51.77 left_branch(0, 4, 3, 10),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 6, 1, 12),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 left_branch(0, 5, 1, 13),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 right_branch(10),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 right_branch(7),
% 51.57/51.77 left_branch(0, 92, 0, 8),
% 51.57/51.77 left_branch(0, 91, 1, 9),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 right_branch(8),
% 51.57/51.77 left_branch(0, 89, 0, 9),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 left_branch(0, 86, 0, 10),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(10),
% 51.57/51.77 left_branch(0, 83, 0, 11),
% 51.57/51.77 left_branch(0, 91, 1, 12),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 left_branch(0, 80, 0, 12),
% 51.57/51.77 left_branch(0, 91, 1, 13),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 left_branch(0, 78, 0, 13),
% 51.57/51.77 left_branch(0, 92, 1, 14),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 left_branch(0, 75, 0, 14),
% 51.57/51.77 left_branch(0, 92, 1, 15),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(15),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 left_branch(0, 71, 0, 15),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(15),
% 51.57/51.77 left_branch(0, 69, 0, 16),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(16),
% 51.57/51.77 left_branch(0, 67, 0, 17),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(17),
% 51.57/51.77 left_branch(0, 65, 0, 18),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(18),
% 51.57/51.77 left_branch(0, 63, 0, 19),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(19),
% 51.57/51.77 left_branch(0, 60, 0, 20),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(20),
% 51.57/51.77 left_branch(0, 57, 0, 21),
% 51.57/51.77 left_branch(0, 56, 1, 22),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(22),
% 51.57/51.77 right_branch(21),
% 51.57/51.77 left_branch(0, 54, 0, 22),
% 51.57/51.77 left_branch(0, 53, 1, 23),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(23),
% 51.57/51.77 right_branch(22),
% 51.57/51.77 left_branch(0, 51, 0, 23),
% 51.57/51.77 left_branch(0, 91, 1, 24),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(24),
% 51.57/51.77 right_branch(23),
% 51.57/51.77 left_branch(0, 49, 0, 24),
% 51.57/51.77 left_branch(0, 92, 1, 25),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(25),
% 51.57/51.77 right_branch(24),
% 51.57/51.77 left_branch(0, 47, 0, 25),
% 51.57/51.77 left_branch(0, 46, 1, 26),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(26),
% 51.57/51.77 right_branch(25),
% 51.57/51.77 left_branch(0, 45, 0, 26),
% 51.57/51.77 left_branch(0, 44, 1, 27),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(27),
% 51.57/51.77 left_branch(0, 92, 1, 28),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(28),
% 51.57/51.77 right_branch(26),
% 51.57/51.77 left_branch(0, 41, 0, 27),
% 51.57/51.77 left_branch(0, 91, 1, 28),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(28),
% 51.57/51.77 right_branch(27),
% 51.57/51.77 left_branch(0, 39, 0, 28),
% 51.57/51.77 left_branch(0, 92, 1, 29),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(29),
% 51.57/51.77 right_branch(28),
% 51.57/51.77 left_branch(0, 37, 0, 29),
% 51.57/51.77 left_branch(0, 35, 2, 30),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 36, 1, 32),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(32),
% 51.57/51.77 right_branch(30),
% 51.57/51.77 right_branch(29),
% 51.57/51.77 left_branch(0, 34, 0, 30),
% 51.57/51.77 left_branch(0, 32, 2, 31),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 91, 1, 33),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(33),
% 51.57/51.77 right_branch(31),
% 51.57/51.77 right_branch(30),
% 51.57/51.77 left_branch(0, 31, 0, 31),
% 51.57/51.77 left_branch(0, 30, 1, 32),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(32),
% 51.57/51.77 left_branch(0, 29, 1, 33),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(33),
% 51.57/51.77 right_branch(31),
% 51.57/51.77 left_branch(0, 26, 0, 32),
% 51.57/51.77 left_branch(0, 91, 1, 33),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(33),
% 51.57/51.77 right_branch(32),
% 51.57/51.77 left_branch(0, 24, 0, 33),
% 51.57/51.77 left_branch(0, 91, 1, 34),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(34),
% 51.57/51.77 right_branch(33),
% 51.57/51.77 left_branch(0, 14, 0, 34),
% 51.57/51.77 left_branch(0, 22, 0, 35),
% 51.57/51.77 left_branch(0, 15, 2, 36),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 21, 1, 38),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(38),
% 51.57/51.77 left_branch(0, 16, 2, 39),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 5),
% 51.57/51.77 lemmata(0, 30),
% 51.57/51.77 right_branch(39),
% 51.57/51.77 lemmata(0, 30),
% 51.57/51.77 right_branch(36),
% 51.57/51.77 right_branch(35),
% 51.57/51.77 left_branch(0, 20, 0, 36),
% 51.57/51.77 left_branch(0, 17, 3, 37),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 19, 1, 39),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(39),
% 51.57/51.77 left_branch(0, 18, 1, 40),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(40),
% 51.57/51.77 right_branch(37),
% 51.57/51.77 right_branch(36),
% 51.57/51.77 right_branch(34),
% 51.57/51.77 left_branch(0, 13, 0, 35),
% 51.57/51.77 left_branch(0, 11, 3, 36),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 10, 2, 38),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 12, 1, 40),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(40),
% 51.57/51.77 right_branch(38),
% 51.57/51.77 left_branch(0, 12, 1, 39),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(39),
% 51.57/51.77 right_branch(36),
% 51.57/51.77 right_branch(35),
% 51.57/51.77 right_branch(6),
% 51.57/51.77 left_branch(0, 92, 1, 7),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(7),
% 51.57/51.77 right_branch(5),
% 51.57/51.77 right_branch(4),
% 51.57/51.77 left_branch(0, 90, 0, 5),
% 51.57/51.77 left_branch(0, 88, 2, 6),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 left_branch(0, 89, 1, 8),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(8),
% 51.57/51.77 right_branch(6),
% 51.57/51.77 right_branch(5),
% 51.57/51.77 left_branch(0, 87, 0, 6),
% 51.57/51.77 left_branch(0, 88, 2, 7),
% 51.57/51.77 left_branch(0, 0, 27, 8),
% 51.57/51.77 left_branch(0, 1, 0, 9),
% 51.57/51.77 left_branch(0, 9, 0, 10),
% 51.57/51.77 left_branch(0, 2, 2, 11),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 8, 1, 13),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 left_branch(0, 3, 2, 14),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 5),
% 51.57/51.77 lemmata(0, 5),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 lemmata(0, 5),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 right_branch(10),
% 51.57/51.77 left_branch(0, 7, 0, 11),
% 51.57/51.77 left_branch(0, 4, 3, 12),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 6, 1, 14),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 left_branch(0, 5, 1, 15),
% 51.57/51.77 reduction(0, 4),
% 51.57/51.77 right_branch(15),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 right_branch(9),
% 51.57/51.77 left_branch(0, 93, 0, 10),
% 51.57/51.77 left_branch(0, 91, 2, 11),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 92, 1, 13),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 right_branch(10),
% 51.57/51.77 left_branch(0, 96, 0, 11),
% 51.57/51.77 left_branch(0, 94, 2, 12),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 left_branch(0, 95, 1, 14),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 right_branch(11),
% 51.57/51.77 left_branch(0, 86, 0, 12),
% 51.57/51.77 left_branch(0, 85, 1, 13),
% 51.57/51.77 reduction(0, 3),
% 51.57/51.77 reduction(0, 1),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 right_branch(12),
% 51.57/51.77 left_branch(0, 84, 0, 13),
% 51.57/51.77 left_branch(0, 86, 1, 14),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 right_branch(13),
% 51.57/51.77 left_branch(0, 81, 0, 14),
% 51.57/51.77 left_branch(0, 86, 1, 15),
% 51.57/51.77 reduction(0, 0),
% 51.57/51.77 right_branch(15),
% 51.57/51.77 right_branch(14),
% 51.57/51.77 left_branch(0, 78, 0, 15),
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% 51.57/51.78 left_branch(0, 81, 0, 37),
% 51.57/51.78 left_branch(0, 79, 2, 38),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 80, 1, 40),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(40),
% 51.57/51.78 right_branch(38),
% 51.57/51.78 right_branch(37),
% 51.57/51.78 left_branch(0, 78, 0, 38),
% 51.57/51.78 left_branch(0, 76, 2, 39),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 77, 1, 41),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(41),
% 51.57/51.78 right_branch(39),
% 51.57/51.78 right_branch(38),
% 51.57/51.78 left_branch(0, 75, 0, 39),
% 51.57/51.78 left_branch(0, 73, 2, 40),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 74, 1, 42),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(42),
% 51.57/51.78 right_branch(40),
% 51.57/51.78 right_branch(39),
% 51.57/51.78 lemmata(0, 9),
% 51.57/51.78 lemmata(0, 10),
% 51.57/51.78 lemmata(0, 11),
% 51.57/51.78 lemmata(0, 12),
% 51.57/51.78 left_branch(0, 64, 0, 44),
% 51.57/51.78 left_branch(0, 63, 1, 45),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(45),
% 51.57/51.78 left_branch(0, 62, 1, 46),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(46),
% 51.57/51.78 right_branch(44),
% 51.57/51.78 left_branch(0, 61, 0, 45),
% 51.57/51.78 left_branch(0, 60, 1, 46),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(46),
% 51.57/51.78 left_branch(0, 59, 1, 47),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(47),
% 51.57/51.78 right_branch(45),
% 51.57/51.78 left_branch(0, 58, 0, 46),
% 51.57/51.78 left_branch(0, 56, 2, 47),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 57, 1, 49),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(49),
% 51.57/51.78 right_branch(47),
% 51.57/51.78 right_branch(46),
% 51.57/51.78 left_branch(0, 55, 0, 47),
% 51.57/51.78 left_branch(0, 53, 2, 48),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 54, 1, 50),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(50),
% 51.57/51.78 right_branch(48),
% 51.57/51.78 right_branch(47),
% 51.57/51.78 left_branch(0, 51, 0, 48),
% 51.57/51.78 left_branch(0, 50, 1, 49),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(49),
% 51.57/51.78 right_branch(48),
% 51.57/51.78 left_branch(0, 49, 0, 49),
% 51.57/51.78 left_branch(0, 48, 1, 50),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(50),
% 51.57/51.78 right_branch(49),
% 51.57/51.78 left_branch(0, 47, 0, 50),
% 51.57/51.78 left_branch(0, 46, 1, 51),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(51),
% 51.57/51.78 right_branch(50),
% 51.57/51.78 left_branch(0, 96, 0, 51),
% 51.57/51.78 left_branch(0, 94, 2, 52),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 95, 1, 54),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(54),
% 51.57/51.78 right_branch(52),
% 51.57/51.78 right_branch(51),
% 51.57/51.78 left_branch(0, 41, 0, 52),
% 51.57/51.78 left_branch(0, 23, 1, 53),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 reduction(0, 1),
% 51.57/51.78 right_branch(53),
% 51.57/51.78 right_branch(52),
% 51.57/51.78 left_branch(0, 39, 0, 53),
% 51.57/51.78 left_branch(0, 24, 1, 54),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 right_branch(54),
% 51.57/51.78 right_branch(53),
% 51.57/51.78 left_branch(0, 37, 0, 54),
% 51.57/51.78 left_branch(0, 35, 2, 55),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 36, 1, 57),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(57),
% 51.57/51.78 right_branch(55),
% 51.57/51.78 right_branch(54),
% 51.57/51.78 left_branch(0, 34, 0, 55),
% 51.57/51.78 left_branch(0, 32, 2, 56),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 33, 1, 58),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(58),
% 51.57/51.78 right_branch(56),
% 51.57/51.78 right_branch(55),
% 51.57/51.78 left_branch(0, 31, 0, 56),
% 51.57/51.78 left_branch(0, 30, 1, 57),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(57),
% 51.57/51.78 left_branch(0, 29, 1, 58),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(58),
% 51.57/51.78 right_branch(56),
% 51.57/51.78 left_branch(0, 27, 0, 57),
% 51.57/51.78 reduction(0, 1),
% 51.57/51.78 right_branch(57),
% 51.57/51.78 left_branch(0, 24, 0, 58),
% 51.57/51.78 left_branch(0, 23, 1, 59),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 reduction(0, 1),
% 51.57/51.78 right_branch(59),
% 51.57/51.78 right_branch(58),
% 51.57/51.78 left_branch(0, 14, 0, 59),
% 51.57/51.78 left_branch(0, 22, 0, 60),
% 51.57/51.78 left_branch(0, 15, 2, 61),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 21, 1, 63),
% 51.57/51.78 reduction(0, 4),
% 51.57/51.78 right_branch(63),
% 51.57/51.78 left_branch(0, 16, 2, 64),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 reduction(0, 5),
% 51.57/51.78 lemmata(0, 51),
% 51.57/51.78 right_branch(64),
% 51.57/51.78 lemmata(0, 51),
% 51.57/51.78 right_branch(61),
% 51.57/51.78 right_branch(60),
% 51.57/51.78 left_branch(0, 20, 0, 61),
% 51.57/51.78 left_branch(0, 17, 3, 62),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 19, 1, 64),
% 51.57/51.78 reduction(0, 4),
% 51.57/51.78 right_branch(64),
% 51.57/51.78 left_branch(0, 18, 1, 65),
% 51.57/51.78 reduction(0, 4),
% 51.57/51.78 right_branch(65),
% 51.57/51.78 right_branch(62),
% 51.57/51.78 right_branch(61),
% 51.57/51.78 right_branch(59),
% 51.57/51.78 left_branch(0, 13, 0, 60),
% 51.57/51.78 left_branch(0, 11, 3, 61),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 10, 2, 63),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 left_branch(0, 12, 1, 65),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(65),
% 51.57/51.78 right_branch(63),
% 51.57/51.78 left_branch(0, 12, 1, 64),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(64),
% 51.57/51.78 right_branch(61),
% 51.57/51.78 right_branch(60),
% 51.57/51.78 right_branch(31),
% 51.57/51.78 right_branch(30),
% 51.57/51.78 right_branch(29),
% 51.57/51.78 left_branch(0, 17, 0, 30),
% 51.57/51.78 left_branch(0, 20, 1, 31),
% 51.57/51.78 left_branch(0, 14, 1, 32),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 22, 0, 34),
% 51.57/51.78 left_branch(0, 16, 3, 35),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 15, 4, 37),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 21, 1, 39),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(39),
% 51.57/51.78 reduction(0, 4),
% 51.57/51.78 lemmata(0, 31),
% 51.57/51.78 right_branch(37),
% 51.57/51.78 left_branch(0, 21, 1, 38),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(38),
% 51.57/51.78 right_branch(35),
% 51.57/51.78 right_branch(34),
% 51.57/51.78 right_branch(32),
% 51.57/51.78 right_branch(31),
% 51.57/51.78 left_branch(0, 19, 1, 32),
% 51.57/51.78 left_branch(0, 14, 1, 33),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 22, 0, 35),
% 51.57/51.78 left_branch(0, 16, 3, 36),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 15, 4, 38),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 21, 1, 40),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(40),
% 51.57/51.78 reduction(0, 4),
% 51.57/51.78 lemmata(0, 32),
% 51.57/51.78 right_branch(38),
% 51.57/51.78 left_branch(0, 21, 1, 39),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(39),
% 51.57/51.78 right_branch(36),
% 51.57/51.78 right_branch(35),
% 51.57/51.78 right_branch(33),
% 51.57/51.78 right_branch(32),
% 51.57/51.78 left_branch(0, 18, 1, 33),
% 51.57/51.78 left_branch(0, 14, 1, 34),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 22, 0, 36),
% 51.57/51.78 left_branch(0, 16, 3, 37),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 15, 4, 39),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 21, 1, 41),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(41),
% 51.57/51.78 reduction(0, 4),
% 51.57/51.78 lemmata(0, 33),
% 51.57/51.78 right_branch(39),
% 51.57/51.78 left_branch(0, 21, 1, 40),
% 51.57/51.78 reduction(0, 3),
% 51.57/51.78 right_branch(40),
% 51.57/51.78 right_branch(37),
% 51.57/51.78 right_branch(36),
% 51.57/51.78 right_branch(34),
% 51.57/51.78 right_branch(33),
% 51.57/51.78 right_branch(30),
% 51.57/51.78 left_branch(0, 13, 0, 31),
% 51.57/51.78 left_branch(0, 11, 3, 32),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 10, 2, 34),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 left_branch(0, 12, 1, 36),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 right_branch(36),
% 51.57/51.78 right_branch(34),
% 51.57/51.78 left_branch(0, 12, 1, 35),
% 51.57/51.78 reduction(0, 0),
% 51.57/51.78 right_branch(35),
% 51.57/51.78 right_branch(32),
% 51.57/51.78 right_branch(31)
% 51.57/51.78 )).
% 51.57/51.78 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------