TSTP Solution File: LCL656+1.005 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n021.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 14:20:51 EDT 2024
% Result : Theorem 0.88s 1.05s
% Output : Proof 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 18:46:18 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.88/1.05 % SZS status Theorem for theBenchmark
% 0.88/1.05 % SZS output start Proof for theBenchmark
% 0.88/1.05
% 0.88/1.05 % Formula: reflexivity ( axiom ) converted to clauses:
% 0.88/1.05 cnf(reflexivity-1, axiom, ( r1(_u0, _u0) )).
% 0.88/1.05
% 0.88/1.05 % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 0.88/1.05 cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u5) | ~r1(_u5, _u4) | ~r1(_u4, _u3) | ~r1(_u3, _u2) | ~r1(_u2, _u1) | p3(_u1) )).
% 0.88/1.05 cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u32) | ~r1(_u32, _u31) | ~r1(_u31, _u30) | ~r1(_u30, _u29) | ~r1(_u29, _u28) | ~_def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) )).
% 0.88/1.05 cnf(main-3, negated_conjecture, ( ~p101(skolem1) )).
% 0.88/1.05 cnf(main-4, negated_conjecture, ( p100(skolem1) )).
% 0.88/1.05 cnf(main-5, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def0(_u29, _u32, _u30, _u31, _u28) | p105(_u28) | ~p104(_u28) )).
% 0.88/1.05 cnf(main-6, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def1(_u29, _u32, _u30, _u31, _u28) | p104(_u28) | ~p103(_u28) )).
% 0.88/1.05 cnf(main-7, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def2(_u29, _u32, _u30, _u31, _u28) | p103(_u28) | ~p102(_u28) )).
% 0.88/1.05 cnf(main-8, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def3(_u29, _u32, _u30, _u31, _u28) | p102(_u28) | ~p101(_u28) )).
% 0.88/1.05 cnf(main-9, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def4(_u29, _u32, _u30, _u31, _u28) | p101(_u28) | ~p100(_u28) )).
% 0.88/1.05 cnf(main-10, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def5(_u17, _u16, _u28) | ~p105(_u28) )).
% 0.88/1.05 cnf(main-11, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def6(_u18, _u19, _u28) | ~p104(_u28) )).
% 0.88/1.05 cnf(main-12, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def7(_u21, _u20, _u28) | ~p103(_u28) )).
% 0.88/1.05 cnf(main-13, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def8(_u22, _u23, _u28) | ~p102(_u28) )).
% 0.88/1.05 cnf(main-14, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def9(_u24, _u25, _u28) | ~p101(_u28) )).
% 0.88/1.05 cnf(main-15, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def10(_u27, _u26, _u28) | ~p100(_u28) )).
% 0.88/1.05 cnf(main-16, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p105(_u28) | ~p106(_u28) )).
% 0.88/1.05 cnf(main-17, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p104(_u28) | ~p105(_u28) )).
% 0.88/1.05 cnf(main-18, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p103(_u28) | ~p104(_u28) )).
% 0.88/1.05 cnf(main-19, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p102(_u28) | ~p103(_u28) )).
% 0.88/1.05 cnf(main-20, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p101(_u28) | ~p102(_u28) )).
% 0.88/1.05 cnf(main-21, negated_conjecture, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p100(_u28) | ~p101(_u28) )).
% 0.88/1.05 cnf(main-22, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-23, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | ~p6(skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-24, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | ~p106(skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-25, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | p105(skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-26, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-27, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | p6(skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-28, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | ~p106(skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-29, negated_conjecture, ( _def0(_u29, _u32, _u30, _u31, _u28) | p105(skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-30, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-31, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | ~p5(skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-32, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | ~p105(skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-33, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | p104(skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-34, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-35, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | p5(skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-36, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | ~p105(skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-37, negated_conjecture, ( _def1(_u29, _u32, _u30, _u31, _u28) | p104(skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-38, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-39, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | ~p4(skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-40, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | ~p104(skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-41, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | p103(skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-42, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-43, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | p4(skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-44, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | ~p104(skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-45, negated_conjecture, ( _def2(_u29, _u32, _u30, _u31, _u28) | p103(skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-46, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-47, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | ~p3(skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-48, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | ~p103(skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-49, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | p102(skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-50, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-51, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | p3(skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-52, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | ~p103(skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-53, negated_conjecture, ( _def3(_u29, _u32, _u30, _u31, _u28) | p102(skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-54, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-55, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | ~p2(skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-56, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | ~p102(skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-57, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | p101(skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-58, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-59, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | p2(skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-60, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | ~p102(skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-61, negated_conjecture, ( _def4(_u29, _u32, _u30, _u31, _u28) | p101(skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(main-62, negated_conjecture, ( _def5(_u17, _u16, _u28) | ~r1(_u28, _u16) | ~p6(_u16) | ~p105(_u16) | p6(_u28) )).
% 0.88/1.05 cnf(main-63, negated_conjecture, ( _def5(_u17, _u16, _u28) | ~r1(_u28, _u17) | p6(_u17) | ~p105(_u17) | ~p6(_u28) )).
% 0.88/1.05 cnf(main-64, negated_conjecture, ( _def6(_u18, _u19, _u28) | ~r1(_u28, _u18) | ~p5(_u18) | ~p104(_u18) | p5(_u28) )).
% 0.88/1.05 cnf(main-65, negated_conjecture, ( _def6(_u18, _u19, _u28) | ~r1(_u28, _u19) | p5(_u19) | ~p104(_u19) | ~p5(_u28) )).
% 0.88/1.05 cnf(main-66, negated_conjecture, ( _def7(_u21, _u20, _u28) | ~r1(_u28, _u20) | ~p4(_u20) | ~p103(_u20) | p4(_u28) )).
% 0.88/1.05 cnf(main-67, negated_conjecture, ( _def7(_u21, _u20, _u28) | ~r1(_u28, _u21) | p4(_u21) | ~p103(_u21) | ~p4(_u28) )).
% 0.88/1.05 cnf(main-68, negated_conjecture, ( _def8(_u22, _u23, _u28) | ~r1(_u28, _u22) | ~p3(_u22) | ~p102(_u22) | p3(_u28) )).
% 0.88/1.05 cnf(main-69, negated_conjecture, ( _def8(_u22, _u23, _u28) | ~r1(_u28, _u23) | p3(_u23) | ~p102(_u23) | ~p3(_u28) )).
% 0.88/1.05 cnf(main-70, negated_conjecture, ( _def9(_u24, _u25, _u28) | ~r1(_u28, _u24) | ~p2(_u24) | ~p101(_u24) | p2(_u28) )).
% 0.88/1.05 cnf(main-71, negated_conjecture, ( _def9(_u24, _u25, _u28) | ~r1(_u28, _u25) | p2(_u25) | ~p101(_u25) | ~p2(_u28) )).
% 0.88/1.05 cnf(main-72, negated_conjecture, ( _def10(_u27, _u26, _u28) | ~r1(_u28, _u26) | ~p1(_u26) | ~p100(_u26) | p1(_u28) )).
% 0.88/1.05 cnf(main-73, negated_conjecture, ( _def10(_u27, _u26, _u28) | ~r1(_u28, _u27) | p1(_u27) | ~p100(_u27) | ~p1(_u28) )).
% 0.88/1.05
% 0.88/1.05 % Problem matrix:
% 0.88/1.05 cnf(matrix-0, plain, ( r1(_u0, _u0) )).
% 0.88/1.05 cnf(matrix-1, plain, ( ~r1(skolem1, _u5) | ~r1(_u5, _u4) | ~r1(_u4, _u3) | ~r1(_u3, _u2) | ~r1(_u2, _u1) | p3(_u1) )).
% 0.88/1.05 cnf(matrix-2, plain, ( ~r1(skolem1, _u32) | ~r1(_u32, _u31) | ~r1(_u31, _u30) | ~r1(_u30, _u29) | ~r1(_u29, _u28) | ~_def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) )).
% 0.88/1.05 cnf(matrix-3, plain, ( ~p101(skolem1) )).
% 0.88/1.05 cnf(matrix-4, plain, ( p100(skolem1) )).
% 0.88/1.05 cnf(matrix-5, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def0(_u29, _u32, _u30, _u31, _u28) | p105(_u28) | ~p104(_u28) )).
% 0.88/1.05 cnf(matrix-6, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def1(_u29, _u32, _u30, _u31, _u28) | p104(_u28) | ~p103(_u28) )).
% 0.88/1.05 cnf(matrix-7, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def2(_u29, _u32, _u30, _u31, _u28) | p103(_u28) | ~p102(_u28) )).
% 0.88/1.05 cnf(matrix-8, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def3(_u29, _u32, _u30, _u31, _u28) | p102(_u28) | ~p101(_u28) )).
% 0.88/1.05 cnf(matrix-9, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def4(_u29, _u32, _u30, _u31, _u28) | p101(_u28) | ~p100(_u28) )).
% 0.88/1.05 cnf(matrix-10, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def5(_u17, _u16, _u28) | ~p105(_u28) )).
% 0.88/1.05 cnf(matrix-11, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def6(_u18, _u19, _u28) | ~p104(_u28) )).
% 0.88/1.05 cnf(matrix-12, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def7(_u21, _u20, _u28) | ~p103(_u28) )).
% 0.88/1.05 cnf(matrix-13, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def8(_u22, _u23, _u28) | ~p102(_u28) )).
% 0.88/1.05 cnf(matrix-14, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def9(_u24, _u25, _u28) | ~p101(_u28) )).
% 0.88/1.05 cnf(matrix-15, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | ~_def10(_u27, _u26, _u28) | ~p100(_u28) )).
% 0.88/1.05 cnf(matrix-16, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p105(_u28) | ~p106(_u28) )).
% 0.88/1.05 cnf(matrix-17, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p104(_u28) | ~p105(_u28) )).
% 0.88/1.05 cnf(matrix-18, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p103(_u28) | ~p104(_u28) )).
% 0.88/1.05 cnf(matrix-19, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p102(_u28) | ~p103(_u28) )).
% 0.88/1.05 cnf(matrix-20, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p101(_u28) | ~p102(_u28) )).
% 0.88/1.05 cnf(matrix-21, plain, ( _def11(_u21, _u29, _u24, _u27, _u17, _u26, _u18, _u32, _u20, _u22, _u16, _u19, _u30, _u25, _u31, _u23, _u28) | p100(_u28) | ~p101(_u28) )).
% 0.88/1.05 cnf(matrix-22, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-23, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | ~p6(skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-24, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | ~p106(skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-25, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | p105(skolem2(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-26, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-27, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | p6(skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-28, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | ~p106(skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-29, plain, ( _def0(_u29, _u32, _u30, _u31, _u28) | p105(skolem3(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-30, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-31, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | ~p5(skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-32, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | ~p105(skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-33, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | p104(skolem4(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-34, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-35, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | p5(skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-36, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | ~p105(skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-37, plain, ( _def1(_u29, _u32, _u30, _u31, _u28) | p104(skolem5(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-38, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-39, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | ~p4(skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-40, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | ~p104(skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-41, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | p103(skolem6(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-42, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-43, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | p4(skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-44, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | ~p104(skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-45, plain, ( _def2(_u29, _u32, _u30, _u31, _u28) | p103(skolem7(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-46, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-47, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | ~p3(skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-48, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | ~p103(skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-49, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | p102(skolem8(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-50, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-51, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | p3(skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-52, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | ~p103(skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-53, plain, ( _def3(_u29, _u32, _u30, _u31, _u28) | p102(skolem9(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-54, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-55, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | ~p2(skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-56, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | ~p102(skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-57, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | p101(skolem10(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-58, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | r1(_u28, skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-59, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | p2(skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-60, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | ~p102(skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-61, plain, ( _def4(_u29, _u32, _u30, _u31, _u28) | p101(skolem11(_u32, _u31, _u30, _u29, _u28)) )).
% 0.88/1.05 cnf(matrix-62, plain, ( _def5(_u17, _u16, _u28) | ~r1(_u28, _u16) | ~p6(_u16) | ~p105(_u16) | p6(_u28) )).
% 0.88/1.05 cnf(matrix-63, plain, ( _def5(_u17, _u16, _u28) | ~r1(_u28, _u17) | p6(_u17) | ~p105(_u17) | ~p6(_u28) )).
% 0.88/1.05 cnf(matrix-64, plain, ( _def6(_u18, _u19, _u28) | ~r1(_u28, _u18) | ~p5(_u18) | ~p104(_u18) | p5(_u28) )).
% 0.88/1.05 cnf(matrix-65, plain, ( _def6(_u18, _u19, _u28) | ~r1(_u28, _u19) | p5(_u19) | ~p104(_u19) | ~p5(_u28) )).
% 0.88/1.05 cnf(matrix-66, plain, ( _def7(_u21, _u20, _u28) | ~r1(_u28, _u20) | ~p4(_u20) | ~p103(_u20) | p4(_u28) )).
% 0.88/1.05 cnf(matrix-67, plain, ( _def7(_u21, _u20, _u28) | ~r1(_u28, _u21) | p4(_u21) | ~p103(_u21) | ~p4(_u28) )).
% 0.88/1.05 cnf(matrix-68, plain, ( _def8(_u22, _u23, _u28) | ~r1(_u28, _u22) | ~p3(_u22) | ~p102(_u22) | p3(_u28) )).
% 0.88/1.05 cnf(matrix-69, plain, ( _def8(_u22, _u23, _u28) | ~r1(_u28, _u23) | p3(_u23) | ~p102(_u23) | ~p3(_u28) )).
% 0.88/1.05 cnf(matrix-70, plain, ( _def9(_u24, _u25, _u28) | ~r1(_u28, _u24) | ~p2(_u24) | ~p101(_u24) | p2(_u28) )).
% 0.88/1.05 cnf(matrix-71, plain, ( _def9(_u24, _u25, _u28) | ~r1(_u28, _u25) | p2(_u25) | ~p101(_u25) | ~p2(_u28) )).
% 0.88/1.05 cnf(matrix-72, plain, ( _def10(_u27, _u26, _u28) | ~r1(_u28, _u26) | ~p1(_u26) | ~p100(_u26) | p1(_u28) )).
% 0.88/1.05 cnf(matrix-73, plain, ( _def10(_u27, _u26, _u28) | ~r1(_u28, _u27) | p1(_u27) | ~p100(_u27) | ~p1(_u28) )).
% 0.88/1.05
% 0.88/1.05 % Proof stack:
% 0.88/1.05 cnf(proof-stack, plain,
% 0.88/1.05 proof_stack(
% 0.88/1.05 start(2),
% 0.88/1.05 left_branch(0, 58, 1, 2),
% 0.88/1.05 left_branch(0, 9, 1, 3),
% 0.88/1.05 left_branch(0, 2, 5, 4),
% 0.88/1.05 left_branch(0, 0, 0, 5),
% 0.88/1.05 right_branch(5),
% 0.88/1.05 left_branch(0, 0, 0, 6),
% 0.88/1.05 right_branch(6),
% 0.88/1.05 left_branch(0, 0, 0, 7),
% 0.88/1.05 right_branch(7),
% 0.88/1.05 left_branch(0, 0, 0, 8),
% 0.88/1.05 right_branch(8),
% 0.88/1.05 lemmata(0, 0),
% 0.88/1.05 right_branch(4),
% 0.88/1.05 left_branch(0, 3, 0, 5),
% 0.88/1.05 right_branch(5),
% 0.88/1.05 left_branch(0, 4, 0, 6),
% 0.88/1.05 right_branch(6),
% 0.88/1.05 right_branch(3),
% 0.88/1.05 right_branch(2),
% 0.88/1.05 left_branch(0, 8, 0, 3),
% 0.88/1.05 left_branch(0, 61, 1, 4),
% 0.88/1.05 left_branch(0, 9, 1, 5),
% 0.88/1.05 left_branch(0, 2, 5, 6),
% 0.88/1.05 left_branch(0, 0, 0, 7),
% 0.88/1.05 right_branch(7),
% 0.88/1.05 left_branch(0, 0, 0, 8),
% 0.88/1.05 right_branch(8),
% 0.88/1.05 left_branch(0, 0, 0, 9),
% 0.88/1.05 right_branch(9),
% 0.88/1.05 left_branch(0, 0, 0, 10),
% 0.88/1.05 right_branch(10),
% 0.88/1.05 left_branch(0, 0, 0, 11),
% 0.88/1.05 right_branch(11),
% 0.88/1.05 right_branch(6),
% 0.88/1.05 left_branch(0, 3, 0, 7),
% 0.88/1.05 right_branch(7),
% 0.88/1.05 left_branch(0, 4, 0, 8),
% 0.88/1.05 right_branch(8),
% 0.88/1.05 right_branch(5),
% 0.88/1.05 right_branch(4),
% 0.88/1.05 left_branch(0, 60, 1, 5),
% 0.88/1.05 left_branch(0, 9, 1, 6),
% 0.88/1.05 left_branch(0, 2, 5, 7),
% 0.88/1.05 left_branch(0, 0, 0, 8),
% 0.88/1.05 right_branch(8),
% 0.88/1.05 lemmata(0, 2),
% 0.88/1.05 lemmata(0, 2),
% 0.88/1.05 lemmata(0, 2),
% 0.88/1.05 lemmata(0, 2),
% 0.88/1.05 right_branch(7),
% 0.88/1.05 left_branch(0, 3, 0, 8),
% 0.88/1.05 right_branch(8),
% 0.88/1.05 left_branch(0, 4, 0, 9),
% 0.88/1.05 right_branch(9),
% 0.88/1.05 right_branch(6),
% 0.88/1.05 right_branch(5),
% 0.88/1.05 left_branch(0, 47, 0, 6),
% 0.88/1.05 left_branch(0, 1, 5, 7),
% 0.88/1.05 left_branch(0, 0, 0, 8),
% 0.88/1.05 right_branch(8),
% 0.88/1.05 left_branch(0, 46, 1, 9),
% 0.88/1.05 reduction(0, 1),
% 0.88/1.05 right_branch(9),
% 0.88/1.05 left_branch(0, 0, 0, 10),
% 0.88/1.05 right_branch(10),
% 0.88/1.05 left_branch(0, 0, 0, 11),
% 0.88/1.05 right_branch(11),
% 0.88/1.05 lemmata(0, 0),
% 0.88/1.05 right_branch(7),
% 0.88/1.05 right_branch(6),
% 0.88/1.05 right_branch(3),
% 0.88/1.05 left_branch(0, 0, 0, 4),
% 0.88/1.05 right_branch(4),
% 0.88/1.05 left_branch(0, 0, 0, 5),
% 0.88/1.05 right_branch(5),
% 0.88/1.05 left_branch(0, 0, 0, 6),
% 0.88/1.05 right_branch(6),
% 0.88/1.05 lemmata(0, 2)
% 0.88/1.05 )).
% 0.88/1.05 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------