TSTP Solution File: SEU281+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:17:41 EDT 2022
% Result : Theorem 10.98s 11.17s
% Output : Refutation 10.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:40:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.98/11.17 GeoParameters:
% 10.98/11.17
% 10.98/11.17 tptp_input = 1
% 10.98/11.17 tptp_output = 0
% 10.98/11.17 nonempty = 1
% 10.98/11.17 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/11.17 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.98/11.17
% 10.98/11.17
% 10.98/11.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/11.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/11.17
% 10.98/11.17 RuleSystem INPUT:
% 10.98/11.17
% 10.98/11.17 Initial Rules:
% 10.98/11.17 #0: input, references = 4, size of lhs = 0:
% 10.98/11.17 FALSE | EXISTS V0: pppp4-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1: input, references = 4, size of lhs = 1:
% 10.98/11.17 pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #2: input, references = 9, size of lhs = 2:
% 10.98/11.17 pppp3-{F}(V0,V1), #-{F} V2 | EXISTS V3: pppp2-{T}(V3,V2,V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #3: input, references = 8, size of lhs = 3:
% 10.98/11.17 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V2,V3), in-{F}(V0,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #4: input, references = 17, size of lhs = 1:
% 10.98/11.17 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V0,V1), pppp0-{T}(V0,V2,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #5: input, references = 11, size of lhs = 2:
% 10.98/11.17 P_cartesian_product2-{F}(V1,V2,V3), pppp0-{F}(V0,V1,V2) | in-{T}(V0,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #6: input, references = 6, size of lhs = 2:
% 10.98/11.17 P_cartesian_product2-{F}(V1,V2,V3), pppp0-{F}(V0,V1,V2) | EXISTS V4: pppp6-{T}(V0,V1,V4)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #7: input, references = 4, size of lhs = 5:
% 10.98/11.17 P_cartesian_product2-{F}(V1,V2,V3), in-{F}(V0,V3), P_singleton-{F}(V4,V5), in-{F}(V4,V1), P_ordered_pair-{F}(V4,V5,V0) | pppp0-{T}(V0,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #8: input, references = 4, size of lhs = 2:
% 10.98/11.17 pppp6-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V0,V2,V4,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #9: input, references = 9, size of lhs = 2:
% 10.98/11.17 pppp6-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | in-{T}(V2,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #10: input, references = 4, size of lhs = 3:
% 10.98/11.17 pppp5-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V2 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #11: input, references = 5, size of lhs = 3:
% 10.98/11.17 pppp5-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V4 == V0 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #12: input, references = 3, size of lhs = 1:
% 10.98/11.17 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #13: input, references = 3, size of lhs = 1:
% 10.98/11.17 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #14: input, references = 3, size of lhs = 2:
% 10.98/11.17 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #15: input, references = 3, size of lhs = 0:
% 10.98/11.17 FALSE | EXISTS V0: pppp7-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #16: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp7-{F}(V0) | ordinal-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #17: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #18: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #19: input, references = 3, size of lhs = 0:
% 10.98/11.17 FALSE | EXISTS V0: pppp8-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #20: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp8-{F}(V0) | ordinal-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #21: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #22: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #23: input, references = 3, size of lhs = 2:
% 10.98/11.17 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #24: input, references = 3, size of lhs = 1:
% 10.98/11.17 empty-{F}(V0) | function-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #25: input, references = 3, size of lhs = 1:
% 10.98/11.17 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #26: input, references = 3, size of lhs = 1:
% 10.98/11.17 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #27: input, references = 3, size of lhs = 1:
% 10.98/11.17 empty-{F}(V0) | ordinal-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #28: input, references = 3, size of lhs = 0:
% 10.98/11.17 FALSE | EXISTS V0: pppp9-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #29: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp9-{F}(V0) | empty-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #30: input, references = 3, size of lhs = 0:
% 10.98/11.17 FALSE | EXISTS V0: pppp10-{T}(V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #31: input, references = 3, size of lhs = 2:
% 10.98/11.17 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #32: input, references = 12, size of lhs = 2:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #33: input, references = 5, size of lhs = 2:
% 10.98/11.17 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #34: input, references = 4, size of lhs = 2:
% 10.98/11.17 #-{F} V0, #-{F} V1 | pppp22-{T}(V0), pppp23-{T}(V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #35: input, references = 4, size of lhs = 1:
% 10.98/11.17 pppp22-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #36: input, references = 5, size of lhs = 1:
% 10.98/11.17 pppp23-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V2,V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #37: input, references = 10, size of lhs = 2:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2) | in-{T}(V3,V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #38: input, references = 30, size of lhs = 2:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), in-{F}(V3,V0) | pppp1-{T}(V3,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #39: input, references = 4, size of lhs = 1:
% 10.98/11.17 pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V2,V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #40: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp17-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #41: input, references = 4, size of lhs = 1:
% 10.98/11.17 pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V3,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #42: input, references = 4, size of lhs = 1:
% 10.98/11.17 pppp16-{F}(V2,V1,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #43: input, references = 3, size of lhs = 1:
% 10.98/11.17 pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #44: input, references = 5, size of lhs = 2:
% 10.98/11.17 pppp15-{F}(V0,V1,V2), V1 == V2 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #45: input, references = 4, size of lhs = 2:
% 10.98/11.17 pppp15-{F}(V0,V1,V2), V1 == V0 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #46: input, references = 3, size of lhs = 2:
% 10.98/11.17 pppp14-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | EXISTS V4: pppp13-{T}(V0,V2,V4,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #47: input, references = 3, size of lhs = 2:
% 10.98/11.17 pppp14-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | in-{T}(V2,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #48: input, references = 3, size of lhs = 3:
% 10.98/11.17 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V2 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #49: input, references = 3, size of lhs = 3:
% 10.98/11.17 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V4 == V0 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #50: input, references = 3, size of lhs = 2:
% 10.98/11.17 pppp12-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | EXISTS V4: pppp11-{T}(V1,V2,V4,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #51: input, references = 3, size of lhs = 2:
% 10.98/11.17 pppp12-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | in-{T}(V2,V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #52: input, references = 3, size of lhs = 3:
% 10.98/11.17 pppp11-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V2 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #53: input, references = 3, size of lhs = 3:
% 10.98/11.17 pppp11-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V4 == V0 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #54: input, references = 6, size of lhs = 2:
% 10.98/11.17 P_cartesian_product2-{F}(V1,V2,V3), pppp1-{F}(V0,V1,V2) | EXISTS V4: pppp20-{T}(V0,V1,V4)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #55: input, references = 4, size of lhs = 2:
% 10.98/11.17 P_cartesian_product2-{F}(V1,V2,V3), pppp1-{F}(V0,V1,V2) | EXISTS V4: pppp21-{T}(V0,V4,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #56: input, references = 10, size of lhs = 5:
% 10.98/11.17 P_cartesian_product2-{F}(V1,V2,V3), P_singleton-{F}(V4,V5), in-{F}(V4,V1), P_ordered_pair-{F}(V4,V5,V0), in-{F}(V0,V3) | pppp1-{T}(V0,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #57: input, references = 4, size of lhs = 2:
% 10.98/11.17 pppp21-{F}(V0,V1,V2), V1 == V0 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #58: input, references = 19, size of lhs = 1:
% 10.98/11.17 pppp21-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #59: input, references = 4, size of lhs = 2:
% 10.98/11.17 pppp20-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | EXISTS V4: pppp19-{T}(V0,V2,V4,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #60: input, references = 7, size of lhs = 2:
% 10.98/11.17 pppp20-{F}(V0,V1,V2), P_singleton-{F}(V2,V3) | in-{T}(V2,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #61: input, references = 4, size of lhs = 3:
% 10.98/11.17 pppp19-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V2 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #62: input, references = 5, size of lhs = 3:
% 10.98/11.17 pppp19-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V4 == V0 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #63: input, references = 6, size of lhs = 2:
% 10.98/11.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #64: input, references = 6, size of lhs = 2:
% 10.98/11.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #65: input, references = 16, size of lhs = 1:
% 10.98/11.17 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 number of initial rules = 66
% 10.98/11.17
% 10.98/11.17 Simplifiers:
% 10.98/11.17 #66: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #67: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 function-{F}(V0), function-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #68: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #69: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #70: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #71: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #72: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #73: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #74: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #75: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #76: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #77: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #78: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #79: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #80: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #81: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #82: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #83: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #84: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #85: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #86: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #87: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V5), V1 == V4 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #88: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #89: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #90: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #91: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #92: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V1,V2), V0 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #93: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #94: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #95: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V1,V2), V0 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #96: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #97: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #98: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #99: unsound, references = 3, size of lhs = 3:
% 10.98/11.17 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 number of simplifiers = 34
% 10.98/11.17
% 10.98/11.17 Learnt:
% 10.98/11.17 #102: disj( #4, input ), references = 1, size of lhs = 2:
% 10.98/11.17 in-{F}(V0,V1), pppp2-{F}(V1,V0,V2,V3) | pppp0-{T}(V1,V2,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #115: mergings( V2 == V7, V3 == V8; #111 ), references = 1, size of lhs = 7:
% 10.98/11.17 P_cartesian_product2-{F}(V0,V1,V0), pppp18-{F}(V2,V0,V1), P_singleton-{F}(V3,V4), P_ordered_pair-{F}(V3,V4,V3), pppp2-{F}(V3,V0,V5,V6), pppp2-{F}(V2,V3,V5,V6), P_cartesian_product2-{F}(V5,V6,V3) | pppp0-{T}(V3,V5,V6)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #118: mergings( V2 == V7, V3 == V8; #112 ), references = 1, size of lhs = 8:
% 10.98/11.17 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V1,V0), P_cartesian_product2-{F}(V2,V3,V2), pppp18-{F}(V4,V2,V3), pppp2-{F}(V0,V2,V5,V6), pppp2-{F}(V4,V0,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), pppp2-{F}(V4,V7,V5,V6) | pppp0-{T}(V0,V5,V6)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #126: disj( #4, input ), references = 3, size of lhs = 3:
% 10.98/11.17 in-{F}(V0,V1), pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V4,V2,V3) | in-{T}(V0,V4)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #131: mergings( V4 == V2, V5 == V3; #128 ), references = 1, size of lhs = 2:
% 10.98/11.17 pppp2-{F}(V0,V0,V1,V2), pppp2-{F}(V0,V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #138: disj( #4, #5+#32 ), references = 1, size of lhs = 2:
% 10.98/11.17 P_cartesian_product2-{F}(V0,V1,V2), pppp2-{F}(V2,V3,V0,V1) | in-{T}(V2,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #151: exists( #55, #57 ), references = 17, size of lhs = 2:
% 10.98/11.17 pppp1-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3) | pppp21-{T}(V0,V0,V3)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #197: exists( #64, #61 ), references = 1, size of lhs = 2:
% 10.98/11.17 pppp19-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #199: mergings( V1 == V4; #196 ), references = 6, size of lhs = 1:
% 10.98/11.17 pppp19-{F}(V0,V1,V2,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #201: exists( #59, #195 ), references = 7, size of lhs = 2:
% 10.98/11.17 P_singleton-{F}(V0,V1), pppp20-{F}(V2,V3,V0) | pppp19-{T}(V2,V0,V1,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #231: exists( #41, #44 ), references = 1, size of lhs = 1:
% 10.98/11.17 pppp16-{F}(V0,V1,V2) | pppp15-{T}(V0,V2,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #232: exists( #41, #45 ), references = 1, size of lhs = 1:
% 10.98/11.17 pppp16-{F}(V0,V1,V2) | pppp15-{T}(V0,V0,V2)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #237: exists( #39, #233 ), references = 1, size of lhs = 1:
% 10.98/11.17 pppp17-{F}(V0,V1) | pppp16-{T}(V1,V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #240: exists( #35, #238 ), references = 1, size of lhs = 1:
% 10.98/11.17 pppp22-{F}(V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #242: disj( #34, exists( #35, #238 ) ), references = 2, size of lhs = 2:
% 10.98/11.17 #-{F} V0, #-{F} V1 | pppp23-{T}(V0,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #259: disj( #4, #38+#151+#58+#56+#37+#32 ), references = 1, size of lhs = 7:
% 10.98/11.17 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V1,V0), pppp18-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V3,V4), pppp2-{F}(V0,V2,V5,V6), pppp18-{F}(V2,V7,V8), P_cartesian_product2-{F}(V7,V8,V4) | pppp0-{T}(V0,V5,V6)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #291: disj( #4, #38+#151+#58+#32 ), references = 1, size of lhs = 3:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3), pppp2-{F}(V3,V0,V4,V5) | pppp0-{T}(V3,V4,V5)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #307: disj( #4, #38+#151+#58+#38+#151+#58+#32 ), references = 1, size of lhs = 5:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3), pppp18-{F}(V3,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), pppp2-{F}(V6,V0,V7,V8) | pppp0-{T}(V6,V7,V8)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #317: disj( #4, #5+#3 ), references = 6, size of lhs = 3:
% 10.98/11.17 P_cartesian_product2-{F}(V0,V1,V2), pppp2-{F}(V3,V2,V0,V1), pppp2-{F}(V3,V4,V0,V1) | in-{T}(V3,V4)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #340: exists( #65, #338 ), references = 3, size of lhs = 6:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V0,V3,V4), in-{F}(V4,V5), pppp2-{F}(V0,V2,V5,V6), P_cartesian_product2-{F}(V5,V6,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #367: exists( #65, #365 ), references = 1, size of lhs = 3:
% 10.98/11.17 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V2), V0 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #382: mergings( V2 == V6; #380 ), references = 1, size of lhs = 8:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V0,V3,V4), pppp20-{F}(V0,V5,V4), pppp18-{F}(V5,V6,V7), P_cartesian_product2-{F}(V6,V7,V8), pppp2-{F}(V0,V2,V8,V9), P_cartesian_product2-{F}(V8,V9,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #384: exists( #54, #380 ), references = 9, size of lhs = 8:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp1-{F}(V0,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp18-{F}(V3,V6,V7), P_cartesian_product2-{F}(V6,V7,V8), pppp2-{F}(V0,V2,V8,V9), P_cartesian_product2-{F}(V8,V9,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #394: exists( #2, #392 ), references = 2, size of lhs = 8:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp18-{F}(V5,V6,V7), P_cartesian_product2-{F}(V6,V7,V8), pppp18-{F}(V6,V9,V10), P_cartesian_product2-{F}(V9,V10,V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #407: exists( #2, #405 ), references = 1, size of lhs = 6:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp18-{F}(V3,V6,V7), P_cartesian_product2-{F}(V6,V7,V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #462: exists( #65, #458 ), references = 2, size of lhs = 9:
% 10.98/11.17 in-{F}(V0,V1), pppp20-{F}(V0,V2,V3), in-{F}(V3,V4), P_cartesian_product2-{F}(V4,V5,V1), pppp18-{F}(V6,V4,V5), pppp18-{F}(V6,V7,V8), P_cartesian_product2-{F}(V7,V8,V9), pppp2-{F}(V0,V9,V10,V11), pppp0-{F}(V0,V10,V11) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #464: mergings( V11 == V12; #461 ), references = 2, size of lhs = 12:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V0,V3,V4), in-{F}(V4,V5), P_cartesian_product2-{F}(V5,V6,V1), pppp18-{F}(V7,V5,V6), pppp18-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V10), pppp18-{F}(V8,V11,V12), P_cartesian_product2-{F}(V11,V12,V13), pppp2-{F}(V0,V10,V13,V14), P_cartesian_product2-{F}(V13,V14,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #480: exists( #65, #476 ), references = 1, size of lhs = 9:
% 10.98/11.17 in-{F}(V0,V1), pppp20-{F}(V0,V2,V3), pppp6-{F}(V4,V5,V3), P_cartesian_product2-{F}(V5,V6,V1), pppp18-{F}(V7,V5,V6), pppp18-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V10), pppp2-{F}(V0,V10,V11,V12), pppp0-{F}(V0,V11,V12) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #481: exists( #65, #477 ), references = 1, size of lhs = 12:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V0,V3,V4), pppp6-{F}(V5,V6,V4), P_cartesian_product2-{F}(V6,V7,V1), pppp18-{F}(V8,V6,V7), pppp18-{F}(V8,V9,V10), P_cartesian_product2-{F}(V9,V10,V11), pppp18-{F}(V9,V12,V13), P_cartesian_product2-{F}(V12,V13,V14), pppp2-{F}(V0,V11,V14,V15), P_cartesian_product2-{F}(V14,V15,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #488: exists( #65, #486 ), references = 1, size of lhs = 2:
% 10.98/11.17 empty-{F}(V0), pppp20-{F}(V0,V1,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #490: exists( #54, #487 ), references = 1, size of lhs = 3:
% 10.98/11.17 empty-{F}(V0), pppp1-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #492: exists( #63, #489 ), references = 1, size of lhs = 2:
% 10.98/11.17 empty-{F}(V0), pppp1-{F}(V0,V1,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #495: exists( #36, #493 ), references = 1, size of lhs = 4:
% 10.98/11.17 empty-{F}(V0), in-{F}(V0,V1), pppp23-{F}(V2,V3), pppp18-{F}(V1,V4,V5) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #513: exists( #64, #10 ), references = 1, size of lhs = 2:
% 10.98/11.17 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #515: exists( #8, #512 ), references = 4, size of lhs = 2:
% 10.98/11.17 P_singleton-{F}(V0,V1), pppp6-{F}(V2,V3,V0) | pppp5-{T}(V2,V0,V1,V1)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #538: mergings( V1 == V4; #536 ), references = 3, size of lhs = 1:
% 10.98/11.17 pppp5-{F}(V0,V1,V2,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #546: exists( #65, #542 ), references = 1, size of lhs = 2:
% 10.98/11.17 empty-{F}(V0), pppp6-{F}(V0,V1,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #547: exists( #65, #543 ), references = 1, size of lhs = 3:
% 10.98/11.17 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V2), V0 == V3 | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #549: exists( #6, #544 ), references = 1, size of lhs = 3:
% 10.98/11.17 empty-{F}(V0), pppp0-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #567: exists( #65, #565 ), references = 1, size of lhs = 2:
% 10.98/11.17 in-{F}(V0,V1), pppp6-{F}(V2,V0,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #591: exists( #65, #589 ), references = 1, size of lhs = 9:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp6-{F}(V3,V4,V0), pppp18-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), pppp18-{F}(V5,V8,V9), P_cartesian_product2-{F}(V8,V9,V10), pppp2-{F}(V0,V2,V10,V11), P_cartesian_product2-{F}(V10,V11,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #619: exists( #63, #384 ), references = 4, size of lhs = 7:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp1-{F}(V0,V3,V4), pppp18-{F}(V3,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), pppp2-{F}(V0,V2,V7,V8), P_cartesian_product2-{F}(V7,V8,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #620: exists( #63, #394 ), references = 1, size of lhs = 7:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp18-{F}(V5,V6,V7), pppp18-{F}(V6,V8,V9), P_cartesian_product2-{F}(V8,V9,V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #646: mergings( V2 == V5; #642 ), references = 1, size of lhs = 5:
% 10.98/11.17 in-{F}(V0,V1), pppp6-{F}(V0,V2,V3), pppp6-{F}(V0,V4,V3), pppp18-{F}(V0,V4,V5), P_cartesian_product2-{F}(V4,V5,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #648: exists( #6, #642 ), references = 2, size of lhs = 5:
% 10.98/11.17 in-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V3,V4), pppp18-{F}(V0,V2,V5), P_cartesian_product2-{F}(V2,V5,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #663: disj( #4, exists( #36, #493 ) ), references = 1, size of lhs = 4:
% 10.98/11.17 empty-{F}(V0), pppp23-{F}(V1,V2), pppp2-{F}(V0,V3,V4,V5), pppp18-{F}(V3,V6,V7) | pppp0-{T}(V0,V4,V5)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #684: mergings( V2 == V5; #682 ), references = 1, size of lhs = 7:
% 10.98/11.17 in-{F}(V0,V1), pppp6-{F}(V0,V2,V3), pppp6-{F}(V0,V4,V3), P_cartesian_product2-{F}(V4,V5,V1), pppp18-{F}(V6,V4,V5), pppp2-{F}(V0,V6,V7,V8), pppp0-{F}(V0,V7,V8) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #686: exists( #6, #682 ), references = 3, size of lhs = 7:
% 10.98/11.17 in-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V3,V4), P_cartesian_product2-{F}(V2,V5,V1), pppp18-{F}(V6,V2,V5), pppp2-{F}(V0,V6,V7,V8), pppp0-{F}(V0,V7,V8) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #709: mergings( V14 == V2, V15 == V3, V2 == V6, V3 == V7; #703 ), references = 1, size of lhs = 8:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), pppp18-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp2-{F}(V6,V0,V5,V7), P_cartesian_product2-{F}(V5,V7,V8), pppp2-{F}(V6,V9,V5,V7), pppp18-{F}(V9,V10,V11), P_cartesian_product2-{F}(V10,V11,V8) | pppp0-{T}(V6,V5,V7)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #714: mergings( V15 == V2, V16 == V3, V2 == V7, V3 == V8; #704 ), references = 1, size of lhs = 9:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3), pppp18-{F}(V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), pppp2-{F}(V7,V0,V6,V8), P_cartesian_product2-{F}(V6,V8,V9), pppp2-{F}(V7,V10,V6,V8), pppp18-{F}(V10,V11,V12), P_cartesian_product2-{F}(V11,V12,V9) | pppp0-{T}(V7,V6,V8)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #720: mergings( V8 == V9, V9 == V10; #717 ), references = 1, size of lhs = 9:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V2), pppp18-{F}(V4,V0,V3), pppp18-{F}(V4,V5,V6), pppp18-{F}(V5,V7,V8), P_cartesian_product2-{F}(V7,V8,V0), pppp18-{F}(V4,V9,V10), P_cartesian_product2-{F}(V9,V10,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #759: exists( #2, #755 ), references = 1, size of lhs = 9:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp18-{F}(V5,V6,V7), P_cartesian_product2-{F}(V6,V7,V8), pppp18-{F}(V8,V9,V10), pppp18-{F}(V9,V11,V12), P_cartesian_product2-{F}(V11,V12,V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #760: exists( #2, #756 ), references = 1, size of lhs = 10:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp18-{F}(V5,V6,V7), P_cartesian_product2-{F}(V6,V7,V8), pppp18-{F}(V8,V9,V10), P_cartesian_product2-{F}(V9,V10,V11), pppp18-{F}(V9,V12,V13), P_cartesian_product2-{F}(V12,V13,V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #781: disj( #4, #5+#38+#151+#58+#32 ), references = 1, size of lhs = 4:
% 10.98/11.17 P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp2-{F}(V5,V6,V0,V1) | in-{T}(V5,V6)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #806: exists( #65, #802 ), references = 1, size of lhs = 8:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V3,V4,V0), pppp18-{F}(V4,V5,V6), pppp18-{F}(V5,V7,V8), P_cartesian_product2-{F}(V7,V8,V9), pppp2-{F}(V0,V2,V9,V10), P_cartesian_product2-{F}(V9,V10,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #807: exists( #65, #803 ), references = 1, size of lhs = 9:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V3,V4,V0), pppp18-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), pppp18-{F}(V5,V8,V9), P_cartesian_product2-{F}(V8,V9,V10), pppp2-{F}(V0,V2,V10,V11), P_cartesian_product2-{F}(V10,V11,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #870: mergings( V2 == V6; #868 ), references = 1, size of lhs = 6:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp20-{F}(V0,V3,V4), pppp20-{F}(V0,V5,V4), pppp2-{F}(V0,V2,V5,V6), P_cartesian_product2-{F}(V5,V6,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #872: exists( #54, #868 ), references = 2, size of lhs = 6:
% 10.98/11.17 in-{F}(V0,V1), in-{F}(V0,V2), pppp1-{F}(V0,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), pppp2-{F}(V0,V2,V3,V6), P_cartesian_product2-{F}(V3,V6,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #876: exists( #2, #874 ), references = 1, size of lhs = 4:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), pppp18-{F}(V2,V0,V3), P_cartesian_product2-{F}(V0,V3,V4) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #908: mergings( V4 == V5; #906 ), references = 1, size of lhs = 4:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V1,V4,V3), pppp2-{F}(V0,V5,V1,V4) | in-{T}(V0,V5)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1012: mergings( V6 == V7, V4 == V2, V8 == V3; #1006 ), references = 1, size of lhs = 4:
% 10.98/11.17 pppp18-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V1,V4,V3), pppp2-{F}(V5,V0,V1,V4) | pppp0-{T}(V5,V1,V4)
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1019: mergings( V5 == V7, V7 == V8, V8 == V6; #1015 ), references = 1, size of lhs = 6:
% 10.98/11.17 pppp3-{F}(V0,V1), P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V2), pppp18-{F}(V4,V0,V3), pppp18-{F}(V4,V0,V5), P_cartesian_product2-{F}(V0,V5,V2) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1024: mergings( V4 == V5, V5 == V6, V6 == V7; #1020 ), references = 1, size of lhs = 4:
% 10.98/11.17 pppp23-{F}(V0,V1), pppp3-{F}(V0,V2), P_cartesian_product2-{F}(V0,V2,V3), P_cartesian_product2-{F}(V0,V1,V3) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1026: exists( #63, #1020 ), references = 2, size of lhs = 2:
% 10.98/11.17 pppp23-{F}(V0,V1), pppp3-{F}(V0,V1) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1029: exists( #1, #1027 ), references = 1, size of lhs = 1:
% 10.98/11.17 pppp4-{F}(V0) | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 #1031: exists( #0, #1028 ), references = 1, size of lhs = 0:
% 10.98/11.17 FALSE | FALSE
% 10.98/11.17 (used 0 times, uses = {})
% 10.98/11.17
% 10.98/11.17 number of learnt formulas = 66
% 10.98/11.17
% 10.98/11.17
% 10.98/11.17 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/11.17
% 10.98/11.17 randbase = 1
%------------------------------------------------------------------------------