TSTP Solution File: SYO634-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 : Fri Sep 1 04:08:33 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n001.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 : Sat Aug 26 06:31:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 % File : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.19/0.61 % Domain : Syntactic
% 0.19/0.61 % Problem : NDClauseSet10
% 0.19/0.61 % Version : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [Cer15] Cerna (2015), Advances in Schematic Cut Elimination
% 0.19/0.61 % : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.19/0.61 % : [Cer17] Cerna (2017), Email to Geoff Sutcliffe
% 0.19/0.61 % Source : [Cer17]
% 0.19/0.61 % Names : NDClauseSet10 [Cer17]
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % Rating : 0.00 v7.1.0
% 0.19/0.61 % Syntax : Number of clauses : 23 ( 4 unt; 0 nHn; 5 RR)
% 0.19/0.61 % Number of literals : 141 ( 0 equ; 119 neg)
% 0.19/0.61 % Maximal clause size : 11 ( 6 avg)
% 0.19/0.61 % Maximal term depth : 14 ( 4 avg)
% 0.19/0.61 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.19/0.61 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.19/0.61 % Number of variables : 139 ( 126 sgn)
% 0.19/0.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.61
% 0.19/0.61 % Comments :
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 cnf(clause_21_01,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | 'E'(f(B_0),s(s(s(s(s(s(s(s('0'))))))))) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_14_02,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(A_8),s('0'))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_7),s(s('0')))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'LEQ'('AP'('0',K),'AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_11_03,axiom,
% 0.19/0.61 'E'(f(B),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_4_04,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'LEQ'('AP'(s(s('0')),K),'AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_7_05,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | 'LEQ'('AP'(s(s(s(s(s(s(s(s('0')))))))),K),B_0) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_1_06,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | 'E'(f(B_0),s(s(s(s(s(s('0'))))))) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_5_07,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'LEQ'('AP'(s(s(s('0'))),K),'AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_20_08,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'LEQ'('AP'(s(s(s(s('0')))),K),'AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_17_09,axiom,
% 0.19/0.61 'E'(f(B_0),s(s(s(s(s(s(s(s(s('0')))))))))) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_16_10,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_7),s(s('0')))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'LEQ'('AP'(s('0'),K),'AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_8_11,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_7),s(s('0')))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)),s('0')) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_9_12,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)),s(s(s(s('0'))))) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_6_13,axiom,
% 0.19/0.61 'LEQ'('AP'(s(s(s(s(s(s(s(s(s('0'))))))))),K),B_0) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_12_14,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | 'E'(f(B_0),s(s(s(s(s(s(s('0')))))))) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_18_15,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.61 | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)),s(s(s('0')))) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_2_16,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | 'LEQ'('AP'(s(s(s(s(s(s('0')))))),K),B_0) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clause_3_17,axiom,
% 0.19/0.61 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.61 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.61 | ~ 'E'(f(A_8),s('0'))
% 0.19/0.61 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.61 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.61 | ~ 'E'(f(A_7),s(s('0')))
% 0.19/0.61 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.61 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.62 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.62 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.62 | ~ 'E'(f(A_9),'0') ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clause_13_18,axiom,
% 0.19/0.62 ( ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.62 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.62 | ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.62 | 'LEQ'('AP'(s(s(s(s(s(s(s('0'))))))),K),B_0) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clause_0_19,axiom,
% 0.19/0.62 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.62 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.62 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.62 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.62 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.62 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.62 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.62 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.62 | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)),s(s('0'))) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clause_15_20,axiom,
% 0.19/0.62 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.62 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.62 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.62 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.62 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.62 | 'E'(f(B_0),s(s(s(s(s('0')))))) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clause_22_21,axiom,
% 0.19/0.62 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.62 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.62 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.62 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.62 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.62 | 'LEQ'('AP'(s(s(s(s(s('0'))))),K),B_0) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clause_10_22,axiom,
% 0.19/0.62 ( ~ 'E'(f(A_1),s(s(s(s(s(s(s(s('0')))))))))
% 0.19/0.62 | ~ 'E'(f(A_4),s(s(s(s(s('0'))))))
% 0.19/0.62 | ~ 'E'(f(A_8),s('0'))
% 0.19/0.62 | ~ 'E'(f(B_0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
% 0.19/0.62 | ~ 'E'(f(A_5),s(s(s(s('0')))))
% 0.19/0.62 | ~ 'E'(f(A_7),s(s('0')))
% 0.19/0.62 | ~ 'E'(f(A_2),s(s(s(s(s(s(s('0'))))))))
% 0.19/0.62 | ~ 'E'(f(A_6),s(s(s('0'))))
% 0.19/0.62 | ~ 'E'(f(A_0),s(s(s(s(s(s(s(s(s('0'))))))))))
% 0.19/0.62 | ~ 'E'(f(A_3),s(s(s(s(s(s('0')))))))
% 0.19/0.62 | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)),'0') ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clause_19_23,axiom,
% 0.19/0.62 'LEQ'('AP'(s(s(s(s(s(s(s(s(s(s('0')))))))))),K),B) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:23(EqnAxiom:0)
% 0.19/0.62 %VarNum:152(SingletonVarNum:139)
% 0.19/0.62 %MaxLitNum:11
% 0.19/0.62 %MaxfuncDepth:13
% 0.19/0.62 %SharedTerms:12
% 0.19/0.62 [1]P1(f1(x11),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))
% 0.19/0.62 [2]P1(f1(x21),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [3]P2(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))),x31),x32)
% 0.19/0.62 [4]P2(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))),x41),x42)
% 0.19/0.62 [5]P1(f1(x51),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x52),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x51),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [6]P2(f3(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))),x61),x62)+~P1(f1(x63),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x62),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [7]P1(f1(x71),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x72),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x73),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x71),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [8]P2(f3(f4(f4(f4(f4(f4(f4(f4(a2))))))),x81),x82)+~P1(f1(x83),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x84),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x82),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [9]P1(f1(x91),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x92),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x93),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x94),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x91),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [10]P2(f3(f4(f4(f4(f4(f4(f4(a2)))))),x101),x102)+~P1(f1(x103),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x104),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x105),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x102),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [11]P1(f1(x111),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x112),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x113),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x114),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x115),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x111),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [12]P2(f3(f4(f4(f4(f4(f4(a2))))),x121),x122)+~P1(f1(x123),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x124),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x125),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x126),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x122),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [14]~P1(f1(x142),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x143),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x144),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x145),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x146),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x147),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P2(f3(f4(f4(f4(f4(a2)))),x141),f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x141))
% 0.19/0.62 [19]~P1(f1(x192),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x193),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x194),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x195),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x196),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x197),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x191)),f4(f4(f4(f4(a2)))))
% 0.19/0.62 [15]~P1(f1(x152),f4(f4(f4(f4(a2)))))+~P1(f1(x153),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x154),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x155),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x156),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x157),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x158),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P2(f3(f4(f4(f4(a2))),x151),f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x151))
% 0.19/0.62 [20]~P1(f1(x202),f4(f4(f4(f4(a2)))))+~P1(f1(x203),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x204),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x205),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x206),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x207),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x208),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x201)),f4(f4(f4(a2))))
% 0.19/0.62 [16]~P1(f1(x162),f4(f4(f4(a2))))+~P1(f1(x163),f4(f4(f4(f4(a2)))))+~P1(f1(x164),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x165),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x166),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x167),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x168),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x169),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P2(f3(f4(f4(a2)),x161),f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x161))
% 0.19/0.62 [21]~P1(f1(x212),f4(f4(f4(a2))))+~P1(f1(x213),f4(f4(f4(f4(a2)))))+~P1(f1(x214),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x215),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x216),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x217),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x218),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x219),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x211)),f4(f4(a2)))
% 0.19/0.62 [17]~P1(f1(x172),f4(f4(a2)))+~P1(f1(x173),f4(f4(f4(a2))))+~P1(f1(x174),f4(f4(f4(f4(a2)))))+~P1(f1(x175),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x176),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x177),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x178),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x179),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x1710),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P2(f3(f4(a2),x171),f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x171))
% 0.19/0.62 [22]~P1(f1(x222),f4(f4(a2)))+~P1(f1(x223),f4(f4(f4(a2))))+~P1(f1(x224),f4(f4(f4(f4(a2)))))+~P1(f1(x225),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x226),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x227),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x228),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x229),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x2210),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x221)),f4(a2))
% 0.19/0.62 [13]~P1(f1(x132),f4(a2))+~P1(f1(x131),a2)+~P1(f1(x133),f4(f4(a2)))+~P1(f1(x134),f4(f4(f4(a2))))+~P1(f1(x135),f4(f4(f4(f4(a2)))))+~P1(f1(x136),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x137),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x138),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x139),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x1310),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x1311),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))
% 0.19/0.62 [18]~P1(f1(x182),f4(a2))+~P1(f1(x183),f4(f4(a2)))+~P1(f1(x184),f4(f4(f4(a2))))+~P1(f1(x185),f4(f4(f4(f4(a2)))))+~P1(f1(x186),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x187),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x188),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x189),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x1810),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x1811),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P2(f3(a2,x181),f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x181))
% 0.19/0.62 [23]~P1(f1(x232),f4(a2))+~P1(f1(x233),f4(f4(a2)))+~P1(f1(x234),f4(f4(f4(a2))))+~P1(f1(x235),f4(f4(f4(f4(a2)))))+~P1(f1(x236),f4(f4(f4(f4(f4(a2))))))+~P1(f1(x237),f4(f4(f4(f4(f4(f4(a2)))))))+~P1(f1(x238),f4(f4(f4(f4(f4(f4(f4(a2))))))))+~P1(f1(x239),f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))+~P1(f1(x2310),f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))+~P1(f1(x2311),f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2)))))))))))+P1(f1(f3(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(f4(a2))))))))))),x231)),a2)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(33,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[1,2,5,7,9,11,19,20,21,22,13,23]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------