TSTP Solution File: SYO652-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 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 : Fri Sep 1 04:08:39 EDT 2023
% Result : Unsatisfiable 0.62s 0.78s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n016.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 06:56:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 % File :CSE---1.6
% 0.20/0.76 % Problem :theBenchmark
% 0.20/0.76 % Transform :cnf
% 0.20/0.76 % Format :tptp:raw
% 0.20/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.76
% 0.20/0.76 % Result :Theorem 0.130000s
% 0.20/0.76 % Output :CNFRefutation 0.130000s
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 %------------------------------------------------------------------------------
% 0.20/0.76 % File : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% 0.20/0.76 % Domain : Syntactic
% 0.20/0.76 % Problem : GSM_1_3_2
% 0.20/0.76 % Version : Especial.
% 0.20/0.76 % English :
% 0.20/0.76
% 0.20/0.76 % Refs : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 0.20/0.76 % : [Cer18] Cerna (2018), Email to Geoff Sutcliffe
% 0.20/0.76 % Source : [Cer18]
% 0.20/0.76 % Names : GSM_1_3_2 [Cer18]
% 0.20/0.76
% 0.20/0.76 % Status : Unsatisfiable
% 0.20/0.76 % Rating : 0.14 v8.1.0, 0.00 v7.3.0
% 0.20/0.76 % Syntax : Number of clauses : 23 ( 2 unt; 15 nHn; 22 RR)
% 0.20/0.76 % Number of literals : 292 ( 0 equ; 250 neg)
% 0.20/0.76 % Maximal clause size : 19 ( 12 avg)
% 0.20/0.76 % Maximal term depth : 4 ( 2 avg)
% 0.20/0.76 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.20/0.76 % Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% 0.20/0.76 % Number of variables : 70 ( 1 sgn)
% 0.20/0.76 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.76
% 0.20/0.76 % Comments : Created using the GAPT system - https://github.com/gapt/gapt/blob/
% 0.20/0.76 % master/examples/schema/GradedStrictMonotoneSequenceSchema.scala
% 0.20/0.76 %------------------------------------------------------------------------------
% 0.20/0.76 cnf(clause_35,axiom,
% 0.20/0.76 ( ~ 'E'('0',f(suc(B_11)))
% 0.20/0.76 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.20/0.76 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.20/0.76 | ~ 'E'('0',f(suc(A_1)))
% 0.20/0.76 | ~ 'E'('0',f(B_11))
% 0.20/0.76 | ~ 'E'('0',f(A_1))
% 0.20/0.76 | ~ 'E'('0',f(B_13))
% 0.20/0.76 | ~ 'E'('0',f(suc(B_12)))
% 0.20/0.76 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.20/0.76 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.20/0.76 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.20/0.76 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.20/0.76 | ~ 'E'('0',f(suc(B_13)))
% 0.20/0.76 | ~ 'E'('0',f(B_12))
% 0.20/0.76 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.20/0.76 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.20/0.76 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.20/0.76 | 'E'(f(A_1),f(suc(A_1))) ) ).
% 0.20/0.76
% 0.20/0.76 cnf(clause_133,axiom,
% 0.20/0.76 ( ~ 'E'('0',f(suc(B_11)))
% 0.20/0.76 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.20/0.76 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.20/0.76 | ~ 'E'('0',f(suc(A_1)))
% 0.20/0.76 | ~ 'E'('0',f(B_11))
% 0.20/0.76 | ~ 'E'('0',f(A_1))
% 0.20/0.76 | ~ 'E'('0',f(B_13))
% 0.20/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.20/0.77 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.20/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.20/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.20/0.77 | ~ 'E'('0',f(B_12))
% 0.20/0.77 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.20/0.77 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.20/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.20/0.77 | 'E'(f(A_1),f(suc(A_1)))
% 0.20/0.77 | 'E'(f(B_12),f(suc(B_12))) ) ).
% 0.20/0.77
% 0.20/0.77 cnf(clause_16,axiom,
% 0.20/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.20/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.20/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.20/0.77 | ~ 'E'('0',f(B_11))
% 0.20/0.77 | ~ 'E'('0',f(A_1))
% 0.20/0.77 | ~ 'E'('0',f(B_13))
% 0.20/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.20/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.20/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.20/0.77 | ~ 'E'('0',f(B_12))
% 0.20/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_149,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_141,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.77 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_199,axiom,
% 0.62/0.77 'LE'(f(A),s('0')) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_191,axiom,
% 0.62/0.77 ( ~ 'LE'(f(suc(B_10)),s('0'))
% 0.62/0.77 | 'E'('0',f(suc(B_10)))
% 0.62/0.77 | 'LE'(f(B_10),'0') ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_74,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.62/0.77 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | 'E'(f(B_11),f(suc(B_11))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_5,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_181,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.62/0.77 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | 'E'(f(B_12),f(suc(B_12))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_96,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.62/0.77 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12)) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_17,axiom,
% 0.62/0.77 ( ~ 'LE'(f(B_10),s('0'))
% 0.62/0.77 | 'E'('0',f(B_10))
% 0.62/0.77 | 'LE'(f(B_10),'0') ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_50,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_3,axiom,
% 0.62/0.77 ( ~ 'LE'(f(suc(suc(B_10))),s('0'))
% 0.62/0.77 | 'E'('0',f(suc(suc(B_10))))
% 0.62/0.77 | 'LE'(f(B_10),'0') ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_45,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_99,axiom,
% 0.62/0.77 ~ 'LE'(f(z),'0') ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_76,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_61,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.62/0.77 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(B_12),f(suc(B_12))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_68,axiom,
% 0.62/0.77 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.77 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.77 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.77 | ~ 'E'('0',f(B_11))
% 0.62/0.77 | ~ 'E'('0',f(A_1))
% 0.62/0.77 | ~ 'E'('0',f(B_13))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.77 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.77 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.77 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.77 | ~ 'E'('0',f(B_12))
% 0.62/0.77 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.77 | 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.77 | 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.77 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.77
% 0.62/0.77 cnf(clause_91,axiom,
% 0.62/0.78 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.78 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.78 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.78 | ~ 'E'('0',f(B_11))
% 0.62/0.78 | ~ 'E'('0',f(A_1))
% 0.62/0.78 | ~ 'E'('0',f(B_13))
% 0.62/0.78 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.78 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.78 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.78 | ~ 'E'('0',f(B_12))
% 0.62/0.78 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.62/0.78 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.62/0.78 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.78 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.78 | 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.78 | 'E'(f(B_12),f(suc(B_12))) ) ).
% 0.62/0.78
% 0.62/0.78 cnf(clause_183,axiom,
% 0.62/0.78 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.78 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.78 | ~ 'E'('0',f(suc(suc(B_11))))
% 0.62/0.78 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.78 | ~ 'E'('0',f(B_11))
% 0.62/0.78 | ~ 'E'('0',f(A_1))
% 0.62/0.78 | ~ 'E'('0',f(B_13))
% 0.62/0.78 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.78 | ~ 'E'(f(B_11),f(suc(B_11)))
% 0.62/0.78 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.78 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.78 | ~ 'E'('0',f(B_12))
% 0.62/0.78 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.78 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.78 | 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.78 | 'E'(f(B_13),f(suc(B_13))) ) ).
% 0.62/0.78
% 0.62/0.78 cnf(clause_44,axiom,
% 0.62/0.78 ( ~ 'E'('0',f(A_1))
% 0.62/0.78 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.78 | 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.78 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 0.62/0.78
% 0.62/0.78 cnf(clause_100,axiom,
% 0.62/0.78 ( ~ 'E'('0',f(suc(B_11)))
% 0.62/0.78 | ~ iLEQ(suc(B_12),suc(B_13))
% 0.62/0.78 | ~ 'E'('0',f(suc(A_1)))
% 0.62/0.78 | ~ 'E'('0',f(suc(suc(A_1))))
% 0.62/0.78 | ~ 'E'('0',f(B_11))
% 0.62/0.78 | ~ 'E'('0',f(A_1))
% 0.62/0.78 | ~ 'E'('0',f(B_13))
% 0.62/0.78 | ~ 'E'('0',f(suc(B_12)))
% 0.62/0.78 | ~ 'E'(f(B_12),f(suc(B_12)))
% 0.62/0.78 | ~ 'E'('0',f(suc(suc(B_12))))
% 0.62/0.78 | ~ 'E'(f(A_1),f(suc(A_1)))
% 0.62/0.78 | ~ iLEQ(suc(A_1),suc(B_11))
% 0.62/0.78 | ~ 'E'('0',f(suc(B_13)))
% 0.62/0.78 | ~ 'E'('0',f(B_12))
% 0.62/0.78 | ~ 'E'('0',f(suc(suc(B_13))))
% 0.62/0.78 | ~ 'E'(f(B_13),f(suc(B_13)))
% 0.62/0.78 | ~ iLEQ(suc(B_11),suc(B_12))
% 0.62/0.78 | 'E'(f(B_11),f(suc(B_11))) ) ).
% 0.62/0.78
% 0.62/0.78 %------------------------------------------------------------------------------
% 0.62/0.78 %-------------------------------------------
% 0.62/0.78 % Proof found
% 0.62/0.78 % SZS status Theorem for theBenchmark
% 0.62/0.78 % SZS output start Proof
% 0.62/0.78 %ClaNum:23(EqnAxiom:0)
% 0.62/0.78 %VarNum:407(SingletonVarNum:70)
% 0.62/0.78 %MaxLitNum:19
% 0.62/0.78 %MaxfuncDepth:3
% 0.62/0.78 %SharedTerms:5
% 0.62/0.78 [2]~P1(f1(a4),a2)
% 0.62/0.78 [1]P1(f1(x11),f3(a2))
% 0.62/0.78 [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 0.62/0.78 [4]P1(f1(x41),a2)+~P1(f1(f5(x41)),f3(a2))+P2(a2,f1(f5(x41)))
% 0.62/0.78 [6]P1(f1(x61),a2)+~P1(f1(f5(f5(x61))),f3(a2))+P2(a2,f1(f5(f5(x61))))
% 0.62/0.78 [5]P3(f5(x51),f5(x51))+~P2(a2,f1(x51))+P2(f1(x51),f1(f5(x51)))+~P2(a2,f1(f5(x51)))
% 0.62/0.78 [7]P3(f5(x71),f5(x71))+~P2(a2,f1(x71))+~P2(f1(x71),f1(f5(x71)))+~P2(a2,f1(f5(x71)))+~P2(a2,f1(f5(f5(x71))))
% 0.62/0.78 [8]~P3(f5(x81),f5(x84))+~P3(f5(x83),f5(x82))+~P3(f5(x84),f5(x83))+P2(f1(x81),f1(f5(x81)))+P2(f1(x82),f1(f5(x82)))+~P2(a2,f1(x81))+P2(f1(x83),f1(f5(x83)))+P2(f1(x84),f1(f5(x84)))+~P2(a2,f1(x82))+~P2(a2,f1(x83))+~P2(a2,f1(x84))+~P2(a2,f1(f5(x81)))+~P2(a2,f1(f5(x82)))+~P2(a2,f1(f5(x83)))+~P2(a2,f1(f5(x84)))
% 0.62/0.78 [9]~P3(f5(x91),f5(x94))+~P3(f5(x93),f5(x92))+~P3(f5(x94),f5(x93))+P2(f1(x91),f1(f5(x91)))+P2(f1(x92),f1(f5(x92)))+~P2(a2,f1(x91))+P2(f1(x93),f1(f5(x93)))+~P2(a2,f1(x92))+~P2(f1(x94),f1(f5(x94)))+~P2(a2,f1(x93))+~P2(a2,f1(x94))+~P2(a2,f1(f5(x91)))+~P2(a2,f1(f5(x92)))+~P2(a2,f1(f5(x93)))+~P2(a2,f1(f5(x94)))+~P2(a2,f1(f5(f5(x94))))
% 0.62/0.78 [10]~P3(f5(x101),f5(x103))+~P3(f5(x104),f5(x102))+~P3(f5(x103),f5(x104))+P2(f1(x101),f1(f5(x101)))+P2(f1(x102),f1(f5(x102)))+~P2(a2,f1(x101))+P2(f1(x103),f1(f5(x103)))+~P2(a2,f1(x102))+~P2(f1(x104),f1(f5(x104)))+~P2(a2,f1(x103))+~P2(a2,f1(x104))+~P2(a2,f1(f5(x101)))+~P2(a2,f1(f5(x102)))+~P2(a2,f1(f5(x104)))+~P2(a2,f1(f5(x103)))+~P2(a2,f1(f5(f5(x104))))
% 0.62/0.78 [11]~P3(f5(x111),f5(x113))+~P3(f5(x112),f5(x114))+~P3(f5(x113),f5(x112))+P2(f1(x111),f1(f5(x111)))+P2(f1(x112),f1(f5(x112)))+~P2(a2,f1(x111))+P2(f1(x113),f1(f5(x113)))+~P2(a2,f1(x112))+~P2(f1(x114),f1(f5(x114)))+~P2(a2,f1(x113))+~P2(a2,f1(x114))+~P2(a2,f1(f5(x111)))+~P2(a2,f1(f5(x114)))+~P2(a2,f1(f5(x112)))+~P2(a2,f1(f5(x113)))+~P2(a2,f1(f5(f5(x114))))
% 0.62/0.78 [12]~P3(f5(x124),f5(x123))+~P3(f5(x122),f5(x121))+~P3(f5(x123),f5(x122))+P2(f1(x121),f1(f5(x121)))+P2(f1(x122),f1(f5(x122)))+~P2(a2,f1(x121))+P2(f1(x123),f1(f5(x123)))+~P2(a2,f1(x122))+~P2(f1(x124),f1(f5(x124)))+~P2(a2,f1(x123))+~P2(a2,f1(x124))+~P2(a2,f1(f5(x124)))+~P2(a2,f1(f5(x121)))+~P2(a2,f1(f5(x122)))+~P2(a2,f1(f5(x123)))+~P2(a2,f1(f5(f5(x124))))
% 0.62/0.78 [13]~P3(f5(x134),f5(x133))+~P3(f5(x133),f5(x132))+~P3(f5(x131),f5(x134))+P2(f1(x131),f1(f5(x131)))+P2(f1(x132),f1(f5(x132)))+~P2(a2,f1(x131))+~P2(f1(x133),f1(f5(x133)))+~P2(a2,f1(x132))+~P2(f1(x134),f1(f5(x134)))+~P2(a2,f1(x133))+~P2(a2,f1(x134))+~P2(a2,f1(f5(x131)))+~P2(a2,f1(f5(x132)))+~P2(a2,f1(f5(x133)))+~P2(a2,f1(f5(x134)))+~P2(a2,f1(f5(f5(x133))))+~P2(a2,f1(f5(f5(x134))))
% 0.62/0.78 [14]~P3(f5(x144),f5(x142))+~P3(f5(x142),f5(x143))+~P3(f5(x141),f5(x144))+P2(f1(x141),f1(f5(x141)))+P2(f1(x142),f1(f5(x142)))+~P2(a2,f1(x141))+~P2(f1(x143),f1(f5(x143)))+~P2(a2,f1(x142))+~P2(f1(x144),f1(f5(x144)))+~P2(a2,f1(x143))+~P2(a2,f1(x144))+~P2(a2,f1(f5(x141)))+~P2(a2,f1(f5(x143)))+~P2(a2,f1(f5(x142)))+~P2(a2,f1(f5(x144)))+~P2(a2,f1(f5(f5(x143))))+~P2(a2,f1(f5(f5(x144))))
% 0.62/0.78 [15]~P3(f5(x152),f5(x154))+~P3(f5(x154),f5(x153))+~P3(f5(x151),f5(x152))+P2(f1(x151),f1(f5(x151)))+P2(f1(x152),f1(f5(x152)))+~P2(a2,f1(x151))+~P2(f1(x153),f1(f5(x153)))+~P2(a2,f1(x152))+~P2(f1(x154),f1(f5(x154)))+~P2(a2,f1(x153))+~P2(a2,f1(x154))+~P2(a2,f1(f5(x151)))+~P2(a2,f1(f5(x153)))+~P2(a2,f1(f5(x154)))+~P2(a2,f1(f5(x152)))+~P2(a2,f1(f5(f5(x153))))+~P2(a2,f1(f5(f5(x154))))
% 0.62/0.78 [16]~P3(f5(x164),f5(x162))+~P3(f5(x162),f5(x161))+~P3(f5(x163),f5(x164))+P2(f1(x161),f1(f5(x161)))+P2(f1(x162),f1(f5(x162)))+~P2(a2,f1(x161))+~P2(f1(x163),f1(f5(x163)))+~P2(a2,f1(x162))+~P2(f1(x164),f1(f5(x164)))+~P2(a2,f1(x163))+~P2(a2,f1(x164))+~P2(a2,f1(f5(x163)))+~P2(a2,f1(f5(x161)))+~P2(a2,f1(f5(x162)))+~P2(a2,f1(f5(x164)))+~P2(a2,f1(f5(f5(x163))))+~P2(a2,f1(f5(f5(x164))))
% 0.62/0.78 [17]~P3(f5(x172),f5(x174))+~P3(f5(x174),f5(x171))+~P3(f5(x173),f5(x172))+P2(f1(x171),f1(f5(x171)))+P2(f1(x172),f1(f5(x172)))+~P2(a2,f1(x171))+~P2(f1(x173),f1(f5(x173)))+~P2(a2,f1(x172))+~P2(f1(x174),f1(f5(x174)))+~P2(a2,f1(x173))+~P2(a2,f1(x174))+~P2(a2,f1(f5(x173)))+~P2(a2,f1(f5(x171)))+~P2(a2,f1(f5(x174)))+~P2(a2,f1(f5(x172)))+~P2(a2,f1(f5(f5(x173))))+~P2(a2,f1(f5(f5(x174))))
% 0.62/0.78 [18]~P3(f5(x182),f5(x181))+~P3(f5(x181),f5(x184))+~P3(f5(x183),f5(x182))+P2(f1(x181),f1(f5(x181)))+P2(f1(x182),f1(f5(x182)))+~P2(a2,f1(x181))+~P2(f1(x183),f1(f5(x183)))+~P2(a2,f1(x182))+~P2(f1(x184),f1(f5(x184)))+~P2(a2,f1(x183))+~P2(a2,f1(x184))+~P2(a2,f1(f5(x183)))+~P2(a2,f1(f5(x184)))+~P2(a2,f1(f5(x181)))+~P2(a2,f1(f5(x182)))+~P2(a2,f1(f5(f5(x183))))+~P2(a2,f1(f5(f5(x184))))
% 0.62/0.78 [19]~P3(f5(x191),f5(x194))+~P3(f5(x193),f5(x192))+~P3(f5(x194),f5(x193))+P2(f1(x191),f1(f5(x191)))+~P2(a2,f1(x191))+~P2(f1(x192),f1(f5(x192)))+~P2(f1(x193),f1(f5(x193)))+~P2(a2,f1(x192))+~P2(f1(x194),f1(f5(x194)))+~P2(a2,f1(x193))+~P2(a2,f1(x194))+~P2(a2,f1(f5(x192)))+~P2(a2,f1(f5(x194)))+~P2(a2,f1(f5(x193)))+~P2(a2,f1(f5(x191)))+~P2(a2,f1(f5(f5(x192))))+~P2(a2,f1(f5(f5(x193))))+~P2(a2,f1(f5(f5(x194))))
% 0.62/0.78 [20]~P3(f5(x202),f5(x204))+~P3(f5(x203),f5(x201))+~P3(f5(x204),f5(x203))+P2(f1(x201),f1(f5(x201)))+~P2(a2,f1(x201))+~P2(f1(x202),f1(f5(x202)))+~P2(f1(x203),f1(f5(x203)))+~P2(a2,f1(x202))+~P2(f1(x204),f1(f5(x204)))+~P2(a2,f1(x203))+~P2(a2,f1(x204))+~P2(a2,f1(f5(x201)))+~P2(a2,f1(f5(x204)))+~P2(a2,f1(f5(x203)))+~P2(a2,f1(f5(x202)))+~P2(a2,f1(f5(f5(x202))))+~P2(a2,f1(f5(f5(x203))))+~P2(a2,f1(f5(f5(x204))))
% 0.62/0.78 [21]~P3(f5(x212),f5(x214))+~P3(f5(x211),f5(x213))+~P3(f5(x214),f5(x211))+P2(f1(x211),f1(f5(x211)))+~P2(a2,f1(x211))+~P2(f1(x212),f1(f5(x212)))+~P2(f1(x213),f1(f5(x213)))+~P2(a2,f1(x212))+~P2(f1(x214),f1(f5(x214)))+~P2(a2,f1(x213))+~P2(a2,f1(x214))+~P2(a2,f1(f5(x213)))+~P2(a2,f1(f5(x214)))+~P2(a2,f1(f5(x211)))+~P2(a2,f1(f5(x212)))+~P2(a2,f1(f5(f5(x212))))+~P2(a2,f1(f5(f5(x213))))+~P2(a2,f1(f5(f5(x214))))
% 0.62/0.78 [22]~P3(f5(x222),f5(x221))+~P3(f5(x224),f5(x223))+~P3(f5(x221),f5(x224))+P2(f1(x221),f1(f5(x221)))+~P2(a2,f1(x221))+~P2(f1(x222),f1(f5(x222)))+~P2(f1(x223),f1(f5(x223)))+~P2(a2,f1(x222))+~P2(f1(x224),f1(f5(x224)))+~P2(a2,f1(x223))+~P2(a2,f1(x224))+~P2(a2,f1(f5(x223)))+~P2(a2,f1(f5(x221)))+~P2(a2,f1(f5(x224)))+~P2(a2,f1(f5(x222)))+~P2(a2,f1(f5(f5(x222))))+~P2(a2,f1(f5(f5(x223))))+~P2(a2,f1(f5(f5(x224))))
% 0.62/0.78 [23]~P3(f5(x231),f5(x234))+~P3(f5(x233),f5(x232))+~P3(f5(x234),f5(x233))+~P2(f1(x231),f1(f5(x231)))+~P2(a2,f1(x231))+~P2(f1(x232),f1(f5(x232)))+~P2(f1(x233),f1(f5(x233)))+~P2(a2,f1(x232))+~P2(f1(x234),f1(f5(x234)))+~P2(a2,f1(x233))+~P2(a2,f1(x234))+~P2(a2,f1(f5(x233)))+~P2(a2,f1(f5(x234)))+~P2(a2,f1(f5(x232)))+~P2(a2,f1(f5(x231)))+~P2(a2,f1(f5(f5(x231))))+~P2(a2,f1(f5(f5(x232))))+~P2(a2,f1(f5(f5(x233))))+~P2(a2,f1(f5(f5(x234))))
% 0.62/0.78 %EqnAxiom
% 0.62/0.78
% 0.62/0.78 %-------------------------------------------
% 0.62/0.78 cnf(24,plain,
% 0.62/0.78 (P2(a2,f1(f5(f5(a4))))),
% 0.62/0.78 inference(scs_inference,[],[1,2,6])).
% 0.62/0.78 cnf(25,plain,
% 0.62/0.78 (P1(f1(x251),f3(a2))),
% 0.62/0.78 inference(rename_variables,[],[1])).
% 0.62/0.78 cnf(26,plain,
% 0.62/0.78 (P2(a2,f1(f5(a4)))),
% 0.62/0.78 inference(scs_inference,[],[1,25,2,6,4])).
% 0.62/0.78 cnf(27,plain,
% 0.62/0.78 (P1(f1(x271),f3(a2))),
% 0.62/0.78 inference(rename_variables,[],[1])).
% 0.62/0.78 cnf(29,plain,
% 0.62/0.78 (P2(a2,f1(a4))),
% 0.62/0.78 inference(scs_inference,[],[1,25,27,2,6,4,3])).
% 0.62/0.78 cnf(34,plain,
% 0.62/0.78 (P3(f5(a4),f5(a4))+~P2(f1(a4),f1(f5(a4)))),
% 0.62/0.78 inference(scs_inference,[],[1,25,27,2,6,4,3,5,7])).
% 0.62/0.78 cnf(41,plain,
% 0.62/0.78 (P3(f5(a4),f5(a4))+P2(f1(a4),f1(f5(a4)))),
% 0.62/0.78 inference(scs_inference,[],[29,26,5])).
% 0.62/0.78 cnf(83,plain,
% 0.62/0.78 (P3(f5(a4),f5(a4))),
% 0.62/0.78 inference(scs_inference,[],[34,41])).
% 0.62/0.78 cnf(86,plain,
% 0.62/0.78 ($false),
% 0.62/0.78 inference(scs_inference,[],[83,29,26,24,8,23]),
% 0.62/0.78 ['proof']).
% 0.62/0.78 % SZS output end Proof
% 0.62/0.78 % Total time :0.130000s
%------------------------------------------------------------------------------