TSTP Solution File: SWV274-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:21:19 EDT 2022

% Result   : Unsatisfiable 0.86s 1.03s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 16:16:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.86/1.03  GeoParameters:
% 0.86/1.03  
% 0.86/1.03  tptp_input =     1
% 0.86/1.03  tptp_output =    0
% 0.86/1.03  nonempty =       1
% 0.86/1.03  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.03  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.86/1.03  
% 0.86/1.03  
% 0.86/1.03  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.03  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.03  
% 0.86/1.03  RuleSystem INPUT:
% 0.86/1.03  
% 0.86/1.03  Initial Rules:
% 0.86/1.03  #0: input, references = 7, size of lhs = 3:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_c_Message_Osynth-{F}(V2,V3), c_in-{F}(V1,V2,V0) | c_in-{T}(V1,V3,V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #1: input, references = 16, size of lhs = 6:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_c_Message_Osynth-{F}(V2,V4), P_c_Message_Osynth-{F}(V3,V5), c_lessequals-{F}(V3,V4,V1), c_in-{F}(V6,V5,V0) | c_in-{T}(V6,V4,V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #2: input, references = 6, size of lhs = 5:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_c_insert-{F}(V5,V3,V4,V6), c_in-{F}(V2,V6,V4), V2 == V5 | c_in-{T}(V2,V3,V4)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #3: input, references = 8, size of lhs = 4:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_c_Main_OsubsetI__1-{F}(V2,V4,V3,V5), P_tc_set-{F}(V3,V6) | c_in-{T}(V5,V2,V3), c_lessequals-{T}(V2,V4,V6)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #4: input, references = 9, size of lhs = 5:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_c_Main_OsubsetI__1-{F}(V2,V4,V3,V5), P_tc_set-{F}(V3,V6), c_in-{F}(V5,V4,V3) | c_lessequals-{T}(V2,V4,V6)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #5: input, references = 6, size of lhs = 7:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V5,V6) | c_in-{T}(V2,V6,V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #6: input, references = 7, size of lhs = 8:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V5,V6), P_c_Message_Osynth-{F}(V4,V7) | c_in-{T}(V3,V7,V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #7: input, references = 8, size of lhs = 9:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V5,V6), P_c_Message_Osynth-{F}(V4,V7), c_in-{F}(V2,V7,V0) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #8: input, references = 4, size of lhs = 0:
% 0.86/1.03     FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #9: input, references = 9, size of lhs = 1:
% 0.86/1.03     #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #10: input, references = 5, size of lhs = 1:
% 0.86/1.03     #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #11: input, references = 7, size of lhs = 3:
% 0.86/1.03     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #12: input, references = 4, size of lhs = 3:
% 0.86/1.03     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #13: input, references = 4, size of lhs = 0:
% 0.86/1.03     FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #14: input, references = 4, size of lhs = 0:
% 0.86/1.03     FALSE | EXISTS V0: P_v_X-{T}(V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #15: input, references = 5, size of lhs = 0:
% 0.86/1.03     FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  number of initial rules = 16
% 0.86/1.03  
% 0.86/1.03  Simplifiers:
% 0.86/1.03  #16: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #17: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #18: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #19: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #20: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #21: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #22: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #23: unsound, references = 3, size of lhs = 3:
% 0.86/1.03     P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  number of simplifiers = 8
% 0.86/1.03  
% 0.86/1.03  Learnt:
% 0.86/1.03  #31: mergings( V7 == V8, V2 == V3, V3 == V9, V4 == V10; #26 ), references = 1, size of lhs = 7:
% 0.86/1.03     P_v_Y-{F}(V0), P_v_X-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_set-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_c_insert-{F}(V0,V3,V1,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #35: mergings( V6 == V7, V4 == V0; #32 ), references = 1, size of lhs = 6:
% 0.86/1.03     P_v_Y-{F}(V0), P_v_X-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_set-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Osynth-{F}(V3,V4) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #38: mergings( V2 == V3; #36 ), references = 1, size of lhs = 5:
% 0.86/1.03     P_v_Y-{F}(V0), P_v_X-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_v_H-{F}(V2), P_c_Message_Osynth-{F}(V2,V3) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #41: mergings( V2 == V3; #39 ), references = 1, size of lhs = 4:
% 0.86/1.03     P_v_Y-{F}(V0), P_v_X-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_v_H-{F}(V2) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #44: mergings( V1 == V2; #42 ), references = 1, size of lhs = 3:
% 0.86/1.03     P_v_Y-{F}(V0), P_v_X-{F}(V0), P_tc_Message_Omsg-{F}(V1) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #46: exists( #9, #7 ), references = 4, size of lhs = 8:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V4,V6), c_in-{F}(V2,V6,V0) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #48: exists( #11, #45 ), references = 6, size of lhs = 7:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), c_in-{F}(V2,V5,V0) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #53: mergings( V0 == V4, V1 == V6, V6 == V7; #49 ), references = 1, size of lhs = 7:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Main_OsubsetI__1-{F}(V5,V6,V0,V2) | c_lessequals-{T}(V5,V6,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #60: mergings( V0 == V4, V1 == V6, V6 == V7, V7 == V8; #55 ), references = 1, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), c_lessequals-{F}(V7,V5,V1), P_c_Message_Osynth-{F}(V7,V8), P_c_Main_OsubsetI__1-{F}(V8,V9,V0,V2) | c_lessequals-{T}(V8,V9,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #66: mergings( V0 == V4, V1 == V6, V6 == V7; #62 ), references = 1, size of lhs = 8:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Main_OsubsetI__1-{F}(V6,V7,V0,V2) | c_lessequals-{T}(V6,V7,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #121: mergings( V0 == V7, V7 == V4, V4 == V9, V9 == V11, V1 == V8, V8 == V6, V6 == V10, V10 == V12, V12 == V13; #109 ), references = 1, size of lhs = 14:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), c_in-{F}(V2,V8,V0), P_c_Message_Osynth-{F}(V9,V8), P_c_Main_OsubsetI__1-{F}(V9,V5,V0,V10), P_c_insert-{F}(V11,V6,V0,V12), V10 == V11, P_c_Main_OsubsetI__1-{F}(V12,V13,V0,V10) | c_lessequals-{T}(V12,V13,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #131: mergings( V0 == V7, V7 == V4, V4 == V9, V9 == V11, V1 == V8, V8 == V6, V6 == V10, V10 == V12, V12 == V13; #110 ), references = 1, size of lhs = 15:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V4,V6), P_c_Message_Osynth-{F}(V7,V6), P_c_Message_Osynth-{F}(V8,V6), c_in-{F}(V2,V9,V0), P_c_Message_Osynth-{F}(V10,V9), P_c_Main_OsubsetI__1-{F}(V10,V6,V0,V11), P_c_insert-{F}(V12,V7,V0,V13), V11 == V12, P_c_Main_OsubsetI__1-{F}(V13,V14,V0,V11) | c_lessequals-{T}(V13,V14,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #141: mergings( V0 == V7, V7 == V4, V4 == V9, V9 == V11, V1 == V8, V8 == V6, V6 == V10, V10 == V12, V12 == V13; #111 ), references = 1, size of lhs = 16:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V5,V6), P_c_Message_Osynth-{F}(V4,V7), P_c_Message_Osynth-{F}(V8,V7), P_c_Message_Osynth-{F}(V9,V7), c_in-{F}(V2,V10,V0), P_c_Message_Osynth-{F}(V11,V10), P_c_Main_OsubsetI__1-{F}(V11,V7,V0,V12), P_c_insert-{F}(V13,V8,V0,V14), V12 == V13, P_c_Main_OsubsetI__1-{F}(V14,V15,V0,V12) | c_lessequals-{T}(V14,V15,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #166: mergings( V4 == V6, V6 == V2, V2 == V9, V9 == V11, V11 == V19, V25 == V27, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V8, V8 == V20, V14 == V21, V15 == V22, V16 == V23; #148 ), references = 1, size of lhs = 12:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5), c_in-{F}(V2,V9,V0), P_c_Message_Osynth-{F}(V10,V9), P_c_insert-{F}(V11,V6,V0,V10) | P_c_Main_OsubsetI__1-{T}(V10,V5,V0,V11)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #182: mergings( V4 == V6, V6 == V2, V2 == V9, V9 == V11, V11 == V19, V26 == V28, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V8, V8 == V20, V14 == V21, V15 == V22, V16 == V23; #149 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_insert-{F}(V3,V4,V0,V8), P_c_Message_Osynth-{F}(V9,V5), c_in-{F}(V2,V10,V0), P_c_Message_Osynth-{F}(V11,V10), P_c_insert-{F}(V12,V6,V0,V11) | P_c_Main_OsubsetI__1-{T}(V11,V5,V0,V12)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #198: mergings( V4 == V6, V6 == V2, V2 == V9, V9 == V11, V11 == V19, V27 == V29, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V8, V8 == V20, V14 == V21, V15 == V22, V16 == V23; #150 ), references = 1, size of lhs = 14:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_insert-{F}(V3,V4,V0,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_Osynth-{F}(V10,V5), c_in-{F}(V2,V11,V0), P_c_Message_Osynth-{F}(V12,V11), P_c_insert-{F}(V13,V6,V0,V12) | P_c_Main_OsubsetI__1-{T}(V12,V5,V0,V13)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #235: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V21, V21 == V23, V5 == V7, V7 == V11, V11 == V22, V22 == V12, V12 == V9, V9 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V2 == V13, V13 == V18, V18 == V30, V3 == V14, V14 == V19, V19 == V31; #211 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V4,V6), P_c_Message_Osynth-{F}(V7,V6), P_c_Message_Osynth-{F}(V8,V6), P_c_Message_Osynth-{F}(V9,V6), P_c_Message_Osynth-{F}(V10,V6), c_in-{F}(V11,V6,V0), P_c_insert-{F}(V11,V7,V0,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #258: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V21, V21 == V23, V5 == V7, V7 == V11, V11 == V22, V22 == V12, V12 == V9, V9 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V2 == V13, V13 == V18, V18 == V30, V3 == V14, V14 == V19, V19 == V31, V0 == V32; #212 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5), P_c_insert-{F}(V3,V4,V0,V9), P_c_Message_Osynth-{F}(V10,V5), c_in-{F}(V11,V5,V0), P_c_insert-{F}(V11,V6,V0,V9) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #280: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V21, V21 == V23, V5 == V7, V7 == V11, V11 == V22, V22 == V12, V12 == V9, V9 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V2 == V13, V13 == V18, V18 == V30, V3 == V14, V14 == V19, V19 == V31; #213 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5), P_c_insert-{F}(V3,V4,V0,V9), P_c_Message_Osynth-{F}(V10,V5), c_in-{F}(V11,V5,V0), P_c_insert-{F}(V11,V6,V0,V9) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #302: mergings( V4 == V6, V6 == V9, V9 == V19, V19 == V2, V5 == V7, V7 == V10, V10 == V20, V20 == V11, V11 == V8, V8 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V12 == V16, V16 == V0, V13 == V17, V17 == V1; #282 ), references = 2, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), c_in-{F}(V3,V5,V0), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #321: mergings( V4 == V6, V6 == V9, V9 == V19, V19 == V2, V5 == V7, V7 == V10, V10 == V20, V20 == V11, V11 == V8, V8 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V12 == V16, V16 == V0, V13 == V17, V17 == V1; #283 ), references = 2, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), c_in-{F}(V3,V5,V0), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #342: mergings( V4 == V6, V6 == V9, V9 == V19, V19 == V2, V5 == V7, V7 == V10, V10 == V20, V20 == V11, V11 == V8, V8 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V0 == V12, V12 == V16, V16 == V27, V1 == V13, V13 == V17, V17 == V28; #281 ), references = 2, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), c_in-{F}(V3,V5,V0), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #371: mergings( V0 == V7, V7 == V9, V9 == V11, V11 == V21, V21 == V4, V1 == V8, V8 == V10, V10 == V12, V12 == V22, V22 == V6, V6 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V13 == V18, V18 == V5, V14 == V19, V19 == V33; #346 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5), c_lessequals-{F}(V9,V5,V1), P_c_Message_Osynth-{F}(V9,V10), P_c_Main_OsubsetI__1-{F}(V10,V11,V0,V3), P_c_Message_Osynth-{F}(V12,V5) | c_lessequals-{T}(V10,V11,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #394: mergings( V0 == V7, V7 == V9, V9 == V11, V11 == V21, V21 == V4, V1 == V8, V8 == V10, V10 == V12, V12 == V22, V22 == V6, V6 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V13 == V18, V18 == V5, V14 == V19, V19 == V33; #347 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5), c_lessequals-{F}(V9,V5,V1), P_c_Message_Osynth-{F}(V9,V10), P_c_Main_OsubsetI__1-{F}(V10,V11,V0,V3), P_c_Message_Osynth-{F}(V12,V5) | c_lessequals-{T}(V10,V11,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #419: mergings( V0 == V8, V8 == V10, V10 == V12, V12 == V22, V22 == V4, V1 == V9, V9 == V11, V11 == V13, V13 == V23, V23 == V6, V6 == V24, V24 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V5 == V14, V14 == V19, V19 == V34, V7 == V15, V15 == V20, V20 == V35; #348 ), references = 1, size of lhs = 13:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5), c_lessequals-{F}(V9,V5,V1), P_c_Message_Osynth-{F}(V9,V10), P_c_Main_OsubsetI__1-{F}(V10,V11,V0,V3), P_c_Message_Osynth-{F}(V12,V5) | c_lessequals-{T}(V10,V11,V1)
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #432: mergings( V6 == V7, V2 == V8, V3 == V10; #426 ), references = 1, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V4,V6), P_c_Message_Osynth-{F}(V7,V6), P_c_Message_Osynth-{F}(V8,V6), P_c_Message_Osynth-{F}(V9,V6) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #436: mergings( V6 == V7, V2 == V8, V3 == V10; #427 ), references = 1, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V4,V6), P_c_Message_Osynth-{F}(V7,V6), P_c_Message_Osynth-{F}(V8,V6), P_c_Message_Osynth-{F}(V9,V6) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #440: mergings( V6 == V7, V2 == V8, V3 == V10; #428 ), references = 1, size of lhs = 10:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_insert-{F}(V3,V4,V0,V5), P_c_Message_Osynth-{F}(V4,V6), P_c_Message_Osynth-{F}(V7,V6), P_c_Message_Osynth-{F}(V8,V6), P_c_Message_Osynth-{F}(V9,V6) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #447: mergings( V6 == V7, V4 == V8, V1 == V9; #441 ), references = 1, size of lhs = 9:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #451: mergings( V6 == V7, V4 == V8, V1 == V9; #442 ), references = 1, size of lhs = 9:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #455: mergings( V6 == V7, V4 == V8, V1 == V9; #443 ), references = 1, size of lhs = 9:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Osynth-{F}(V6,V5), P_c_Message_Osynth-{F}(V7,V5), P_c_Message_Osynth-{F}(V8,V5) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #461: mergings( V4 == V5, V2 == V6; #456 ), references = 1, size of lhs = 5:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_Y-{F}(V2), P_v_X-{F}(V3), P_v_H-{F}(V4) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #466: mergings( V2 == V3; #462 ), references = 1, size of lhs = 4:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_v_Y-{F}(V1), P_v_X-{F}(V2), P_v_H-{F}(V3) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #471: mergings( V1 == V3; #467 ), references = 1, size of lhs = 3:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_v_Y-{F}(V1), P_v_X-{F}(V2) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #476: mergings( V1 == V3; #472 ), references = 1, size of lhs = 2:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0), P_v_Y-{F}(V1) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #480: exists( #13, #472 ), references = 1, size of lhs = 1:
% 0.86/1.03     P_tc_Message_Omsg-{F}(V0) | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  #484: exists( #8, #477 ), references = 1, size of lhs = 0:
% 0.86/1.03     FALSE | FALSE
% 0.86/1.03        (used 0 times, uses = {})
% 0.86/1.03  
% 0.86/1.03  number of learnt formulas = 37
% 0.86/1.03  
% 0.86/1.03  
% 0.86/1.03  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.03  
% 0.86/1.03  randbase = 1
%------------------------------------------------------------------------------