TSTP Solution File: LAT276-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:08:11 EDT 2022
% Result : Unsatisfiable 16.05s 16.23s
% Output : Refutation 16.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jul 22 20:26:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 16.05/16.23 GeoParameters:
% 16.05/16.23
% 16.05/16.23 tptp_input = 1
% 16.05/16.23 tptp_output = 0
% 16.05/16.23 nonempty = 1
% 16.05/16.23 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.05/16.23 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 16.05/16.23
% 16.05/16.23
% 16.05/16.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.05/16.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.05/16.23
% 16.05/16.23 RuleSystem INPUT:
% 16.05/16.23
% 16.05/16.23 Initial Rules:
% 16.05/16.23 #0: input, references = 5, size of lhs = 4:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3) | c_lessequals-{T}(V0,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1: input, references = 6, size of lhs = 14:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), c_in-{F}(V7,V9,V10), P_c_Pair-{F}(V11,V4,V2,V2,V12), c_in-{F}(V11,V0,V2) | c_in-{T}(V12,V9,V10)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2: input, references = 11, size of lhs = 12:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11) | c_in-{T}(V4,V11,V2), c_in-{T}(V4,V0,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #3: input, references = 16, size of lhs = 14:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), c_in-{F}(V12,V9,V10) | c_in-{T}(V4,V0,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #4: input, references = 11, size of lhs = 15:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), c_in-{F}(V12,V9,V10), c_in-{F}(V7,V9,V10) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #5: input, references = 5, size of lhs = 15:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), P_c_Pair-{F}(V13,V4,V2,V2,V14), c_in-{F}(V13,V0,V2) | c_in-{T}(V4,V0,V2), c_in-{T}(V14,V9,V10)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #6: input, references = 8, size of lhs = 16:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), P_tc_set-{F}(V14,V16), c_lessequals-{F}(V13,V15,V16), c_in-{F}(V17,V13,V14) | c_in-{T}(V17,V15,V14)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #7: input, references = 4, size of lhs = 14:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), V1 == V11 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #8: input, references = 11, size of lhs = 19:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), P_v_r-{F}(V13), P_c_Tarski_Olub-{F}(V14,V5,V2,V15), c_lessequals-{F}(V14,V1,V3), P_c_Pair-{F}(V15,V16,V2,V2,V17), P_v_sko__4mP-{F}(V16,V14,V13,V18), c_in-{F}(V16,V1,V2) | c_in-{T}(V17,V13,V10), c_in-{T}(V18,V14,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #9: input, references = 8, size of lhs = 21:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), P_v_r-{F}(V13), P_c_Tarski_Olub-{F}(V14,V5,V2,V15), c_lessequals-{F}(V14,V1,V3), P_v_sko__4mP-{F}(V16,V14,V13,V17), P_c_Pair-{F}(V17,V16,V2,V2,V18), P_c_Pair-{F}(V15,V16,V2,V2,V19), c_in-{F}(V16,V1,V2), c_in-{F}(V18,V13,V10) | c_in-{T}(V19,V13,V10)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #10: input, references = 15, size of lhs = 18:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), P_v_r-{F}(V13), P_c_Tarski_Olub-{F}(V14,V5,V2,V15), c_lessequals-{F}(V14,V1,V3), P_c_Pair-{F}(V16,V15,V2,V2,V17), c_in-{F}(V16,V14,V2) | c_in-{T}(V17,V13,V10)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #11: input, references = 4, size of lhs = 15:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V4,V6,V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V8,V9), P_tc_prod-{F}(V2,V2,V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V11), P_c_Pair-{F}(V6,V4,V2,V2,V12), P_v_r-{F}(V13), V13 == V9 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #12: input, references = 4, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #13: input, references = 4, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #14: input, references = 5, size of lhs = 1:
% 16.05/16.23 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #15: input, references = 5, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #16: input, references = 19, size of lhs = 4:
% 16.05/16.23 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #17: input, references = 5, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #18: input, references = 4, size of lhs = 3:
% 16.05/16.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #19: input, references = 5, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #20: input, references = 5, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #21: input, references = 5, size of lhs = 2:
% 16.05/16.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #22: input, references = 6, size of lhs = 3:
% 16.05/16.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Olub-{T}(V0,V1,V2,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #23: input, references = 5, size of lhs = 3:
% 16.05/16.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #24: input, references = 5, size of lhs = 0:
% 16.05/16.23 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #25: input, references = 5, size of lhs = 3:
% 16.05/16.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_v_sko__4mP-{T}(V0,V1,V2,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 number of initial rules = 26
% 16.05/16.23
% 16.05/16.23 Simplifiers:
% 16.05/16.23 #26: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #27: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V1 == V4 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #28: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #29: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #30: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #31: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #32: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #33: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #34: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_c_Tarski_Olub-{F}(V0,V1,V2,V3), P_c_Tarski_Olub-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #35: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #36: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #37: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #38: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #39: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #40: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #41: unsound, references = 3, size of lhs = 3:
% 16.05/16.23 P_v_sko__4mP-{F}(V0,V1,V2,V3), P_v_sko__4mP-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 number of simplifiers = 16
% 16.05/16.23
% 16.05/16.23 Learnt:
% 16.05/16.23 #44: exists( #16, #7 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V7,V8), P_tc_prod-{F}(V2,V2,V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V7,V10), V1 == V10, P_c_Pair-{F}(V6,V4,V2,V2,V11) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #45: exists( #16, #11 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V7,V8), P_tc_prod-{F}(V2,V2,V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V7,V10), P_c_Pair-{F}(V6,V4,V2,V2,V11), P_v_r-{F}(V12), V12 == V8 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #48: exists( #16, #42 ), references = 2, size of lhs = 12:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V7,V8), P_tc_prod-{F}(V2,V2,V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V7,V10), V1 == V10 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #49: exists( #16, #43 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V7,V8), P_tc_prod-{F}(V2,V2,V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V7,V10), P_v_r-{F}(V11), V11 == V8 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #52: exists( #23, #47 ), references = 1, size of lhs = 12:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V7,V8), P_tc_prod-{F}(V2,V2,V9), P_v_r-{F}(V10), V10 == V8 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #54: exists( #22, #51 ), references = 1, size of lhs = 11:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V6,V7), P_tc_prod-{F}(V2,V2,V8), P_v_r-{F}(V9), V9 == V7 | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #56: exists( #18, #53 ), references = 4, size of lhs = 9:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_v_r-{F}(V8) | P_c_Tarski_Opotype_Oorder-{T}(V5,V2,V6,V8)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #82: mergings( V0 == V12, V12 == V27, V1 == V13, V13 == V28, V3 == V14, V2 == V29, V14 == V30, V4 == V15, V15 == V31, V5 == V16, V6 == V17, V7 == V18, V16 == V32, V17 == V33, V18 == V26, V23 == V26, V8 == V19, V9 == V20, V19 == V34, V20 == V24, V10 == V21, V11 == V22, V22 == V35; #58 ), references = 1, size of lhs = 17:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_c_Pair-{F}(V6,V8,V3,V3,V9), P_c_Pair-{F}(V8,V6,V3,V3,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V10,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V10,V11), c_lessequals-{F}(V11,V2,V5), P_c_Tarski_Olub-{F}(V11,V7,V3,V12), P_c_Pair-{F}(V6,V12,V3,V3,V9) | c_in-{T}(V6,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #117: mergings( V3 == V24, V20 == V8, V24 == V7, V7 == V12, V12 == V19, V19 == V35, V4 == V13, V13 == V8, V8 == V36, V28 == V15, V15 == V21, V21 == V25, V25 == V37, V5 == V9, V9 == V16, V16 == V29, V29 == V38, V6 == V10, V22 == V26, V10 == V17, V11 == V26, V17 == V30, V26 == V31, V30 == V39, V31 == V34, V14 == V23, V23 == V32, V18 == V35, V35 == V27, V27 == V33, V33 == V40; #85 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_v_xa-{F}(V4), c_lessequals-{F}(V1,V2,V5), P_tc_set-{F}(V3,V5), P_tc_prod-{F}(V3,V3,V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V4), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V8,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V8,V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #119: exists( #23, #48 ), references = 5, size of lhs = 10:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Olub-{F}(V0,V5,V2,V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V7,V8), P_tc_prod-{F}(V2,V2,V9) | P_c_Tarski_Opotype_Opset-{T}(V5,V2,V7,V1)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #145: mergings( V0 == V14, V14 == V29, V1 == V19, V19 == V30, V3 == V20, V2 == V31, V20 == V32, V4 == V21, V21 == V33, V6 == V15, V5 == V22, V15 == V23, V7 == V24, V22 == V34, V23 == V35, V12 == V28, V24 == V36, V8 == V25, V9 == V26, V25 == V37, V10 == V27, V11 == V38; #122 ), references = 1, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), c_lessequals-{F}(V1,V2,V3), P_t_a-{F}(V4), P_tc_set-{F}(V4,V3), c_in-{F}(V5,V2,V4), P_v_sko__4mP-{F}(V5,V1,V0,V6), P_tc_prod-{F}(V4,V4,V7), P_v_xa-{F}(V8), P_c_Pair-{F}(V6,V8,V4,V4,V9), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V1,V10,V4,V11), P_c_Pair-{F}(V11,V8,V4,V4,V9), P_c_Pair-{F}(V11,V5,V4,V4,V12), P_c_Pair-{F}(V8,V11,V4,V4,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V10,V4,V14,V15), c_in-{F}(V13,V15,V7), P_c_Tarski_Opotype_Opset-{F}(V10,V4,V14,V16) | c_in-{T}(V12,V0,V7)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #179: mergings( V22 == V13, V18 == V5, V4 == V17, V17 == V13, V13 == V32, V32 == V38, V5 == V24, V24 == V33, V33 == V39, V23 == V6, V6 == V28, V28 == V34, V34 == V40, V16 == V8, V8 == V25, V0 == V14, V7 == V19, V19 == V29, V14 == V30, V29 == V35, V35 == V41, V9 == V20, V10 == V26, V20 == V31, V21 == V26, V31 == V36, V36 == V42, V12 == V27, V27 == V37, V37 == V43; #148 ), references = 4, size of lhs = 18:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_lessequals-{F}(V1,V2,V4), P_tc_set-{F}(V3,V4), c_in-{F}(V5,V1,V3), P_tc_prod-{F}(V3,V3,V6), P_v_xa-{F}(V7), c_in-{F}(V7,V2,V3), P_v_sko__4mP-{F}(V7,V1,V0,V8), P_c_Pair-{F}(V5,V8,V3,V3,V9), P_c_Pair-{F}(V7,V8,V3,V3,V9), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V1,V10,V3,V8), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V11,V12) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #221: mergings( V20 == V11, V11 == V13, V0 == V12, V12 == V16, V16 == V13, V13 == V25, V25 == V29, V1 == V29, V29 == V22, V22 == V26, V26 == V30, V21 == V3, V3 == V31, V31 == V39, V39 == V41, V41 == V44, V36 == V45, V45 == V46, V32 == V35, V5 == V14, V6 == V35, V7 == V46, V14 == V17, V17 == V23, V35 == V40, V23 == V27, V27 == V47, V8 == V15, V9 == V33, V15 == V18, V33 == V37, V18 == V24, V19 == V37, V24 == V28, V28 == V48, V10 == V43, V30 == V34, V34 == V38, V38 == V42, V42 == V49; #180 ), references = 1, size of lhs = 15:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V1), P_t_a-{F}(V2), c_lessequals-{F}(V1,V1,V3), P_tc_set-{F}(V2,V3), P_tc_prod-{F}(V2,V2,V4), P_v_xa-{F}(V5), P_v_sko__4mP-{F}(V5,V1,V0,V6), P_c_Pair-{F}(V5,V6,V2,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V1,V8,V2,V6), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V9,V0), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V9,V1) | c_in-{T}(V5,V1,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #264: mergings( V16 == V12, V12 == V31, V31 == V8, V7 == V11, V11 == V21, V21 == V25, V25 == V8, V4 == V18, V18 == V22, V22 == V26, V26 == V8, V17 == V27, V27 == V32, V32 == V39, V39 == V40, V40 == V43, V43 == V45, V5 == V9, V9 == V13, V13 == V19, V19 == V23, V23 == V28, V28 == V47, V6 == V10, V33 == V35, V10 == V14, V35 == V37, V14 == V20, V15 == V37, V20 == V24, V24 == V29, V29 == V48, V37 == V30, V34 == V42, V42 == V46, V8 == V36, V36 == V38, V38 == V41, V41 == V44, V44 == V49; #223 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V1), P_t_a-{F}(V2), c_lessequals-{F}(V1,V1,V3), P_tc_set-{F}(V2,V3), P_tc_prod-{F}(V2,V2,V4), P_v_xa-{F}(V5), P_v_sko__4mP-{F}(V5,V1,V0,V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V2,V6), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V2,V8,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V2,V8,V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #286: mergings( V13 == V26, V5 == V18, V4 == V17, V17 == V28, V18 == V29, V6 == V19, V19 == V30, V16 == V8, V8 == V21, V7 == V20, V14 == V0, V20 == V31, V9 == V22, V10 == V23, V22 == V32, V23 == V25, V12 == V24, V24 == V33; #267 ), references = 3, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V6,V2,V5), c_in-{F}(V7,V6,V3), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V6,V0,V9), P_c_Pair-{F}(V9,V8,V3,V3,V10), P_v_cl-{F}(V11), P_c_Tarski_Olub-{F}(V6,V11,V3,V12), P_c_Pair-{F}(V7,V12,V3,V3,V10), P_c_Pair-{F}(V8,V12,V3,V3,V10), P_c_Tarski_Olub-{F}(V1,V11,V3,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Oorder-{F}(V11,V3,V13,V0), P_c_Tarski_Opotype_Opset-{F}(V11,V3,V13,V14) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #316: mergings( V11 == V31, V13 == V31, V0 == V12, V12 == V16, V16 == V20, V1 == V31, V31 == V21, V3 == V22, V22 == V28, V28 == V33, V27 == V34, V34 == V35, V5 == V14, V6 == V23, V7 == V35, V14 == V17, V26 == V23, V17 == V37, V8 == V15, V9 == V24, V15 == V18, V24 == V29, V18 == V38, V29 == V19, V10 == V32, V21 == V25, V25 == V30, V30 == V39; #287 ), references = 1, size of lhs = 17:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_lessequals-{F}(V2,V2,V4), P_tc_set-{F}(V3,V4), P_tc_prod-{F}(V3,V3,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V2,V0,V7), P_c_Pair-{F}(V7,V6,V3,V3,V8), P_v_cl-{F}(V9), P_c_Tarski_Olub-{F}(V2,V9,V3,V10), P_c_Pair-{F}(V6,V10,V3,V3,V8), P_c_Tarski_Olub-{F}(V1,V9,V3,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V9,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V9,V3,V11,V2) | c_in-{T}(V6,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #348: mergings( V13 == V36, V5 == V29, V4 == V17, V17 == V28, V28 == V38, V18 == V29, V29 == V39, V6 == V30, V30 == V40, V19 == V2, V20 == V40, V16 == V8, V8 == V32, V21 == V1, V7 == V22, V23 == V0, V22 == V31, V14 == V0, V31 == V41, V9 == V24, V25 == V10, V24 == V33, V10 == V34, V33 == V42, V12 == V35, V35 == V43; #321 ), references = 8, size of lhs = 22:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V1,V3), P_tc_prod-{F}(V3,V3,V5), P_tc_set-{F}(V3,V6), c_lessequals-{F}(V7,V2,V6), c_in-{F}(V8,V7,V3), P_v_xa-{F}(V9), c_in-{F}(V9,V2,V3), P_c_Pair-{F}(V4,V9,V3,V3,V10), P_v_sko__4mP-{F}(V9,V7,V0,V11), P_c_Pair-{F}(V11,V9,V3,V3,V10), P_v_cl-{F}(V12), P_c_Tarski_Olub-{F}(V7,V12,V3,V13), P_c_Tarski_Olub-{F}(V1,V12,V3,V13), P_c_Pair-{F}(V8,V13,V3,V3,V14), P_c_Pair-{F}(V9,V13,V3,V3,V14), P_tc_Product__Type_Ounit-{F}(V15), P_c_Tarski_Opotype_Oorder-{F}(V12,V3,V15,V0), P_c_Tarski_Opotype_Opset-{F}(V12,V3,V15,V16) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #385: mergings( V11 == V39, V13 == V39, V0 == V12, V12 == V39, V39 == V26, V26 == V29, V1 == V29, V29 == V16, V16 == V30, V3 == V18, V18 == V31, V31 == V36, V36 == V40, V22 == V41, V41 == V42, V19 == V4, V32 == V35, V5 == V14, V6 == V35, V7 == V42, V14 == V20, V21 == V35, V20 == V27, V27 == V44, V8 == V15, V9 == V33, V15 == V23, V24 == V33, V23 == V28, V33 == V37, V28 == V45, V10 == V17, V30 == V34, V34 == V38, V38 == V46; #349 ), references = 1, size of lhs = 17:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), c_lessequals-{F}(V1,V1,V4), P_tc_set-{F}(V2,V4), P_v_xa-{F}(V5), P_c_Pair-{F}(V5,V5,V2,V2,V6), P_v_sko__4mP-{F}(V5,V1,V0,V7), P_c_Pair-{F}(V7,V5,V2,V2,V6), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V1,V8,V2,V9), P_c_Pair-{F}(V5,V9,V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V11,V1) | c_in-{T}(V5,V1,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #424: mergings( V11 == V36, V36 == V25, V8 == V25, V7 == V16, V16 == V19, V19 == V25, V4 == V12, V12 == V20, V20 == V25, V21 == V26, V26 == V29, V29 == V33, V33 == V37, V37 == V40, V41 == V43, V5 == V9, V9 == V13, V13 == V17, V17 == V22, V22 == V45, V6 == V10, V27 == V31, V10 == V14, V15 == V31, V14 == V18, V31 == V34, V18 == V23, V23 == V46, V34 == V24, V28 == V30, V30 == V39, V25 == V32, V32 == V35, V35 == V38, V38 == V47, V42 == V44; #387 ), references = 1, size of lhs = 16:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V1,V1,V4), P_v_xa-{F}(V5), P_c_Pair-{F}(V5,V5,V2,V2,V6), P_v_sko__4mP-{F}(V5,V1,V0,V7), P_c_Pair-{F}(V7,V5,V2,V2,V6), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V1,V8,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V10,V0), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V10,V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #460: mergings( V10 == V36, V36 == V24, V7 == V24, V6 == V15, V15 == V18, V18 == V24, V3 == V11, V11 == V19, V19 == V24, V20 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V40, V4 == V8, V8 == V12, V12 == V16, V16 == V21, V21 == V41, V5 == V9, V27 == V31, V9 == V13, V14 == V31, V13 == V17, V31 == V34, V17 == V22, V22 == V42, V34 == V23, V28 == V30, V30 == V39, V24 == V32, V32 == V35, V35 == V38, V38 == V43; #425 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V1,V1,V4), P_v_xa-{F}(V5), P_v_sko__4mP-{F}(V5,V1,V0,V5), P_v_cl-{F}(V6), P_c_Tarski_Olub-{F}(V1,V6,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V6,V2,V8,V0), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V8,V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #474: mergings( V0 == V19, V1 == V20, V2 == V21, V3 == V22, V4 == V23, V5 == V24, V6 == V25, V7 == V26, V12 == V17, V8 == V27, V9 == V13, V11 == V28; #461 ), references = 2, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_tc_prod-{F}(V3,V3,V5), P_tc_set-{F}(V3,V6), c_lessequals-{F}(V7,V2,V6), P_v_sko__4mP-{F}(V4,V7,V0,V8), P_v_xa-{F}(V9), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V7,V10,V3,V11), P_c_Pair-{F}(V11,V4,V3,V3,V12), P_c_Tarski_Olub-{F}(V1,V10,V3,V13), P_c_Pair-{F}(V13,V9,V3,V3,V12), P_c_Pair-{F}(V9,V13,V3,V3,V14), c_in-{F}(V14,V0,V5), P_tc_Product__Type_Ounit-{F}(V15), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V15,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V15,V16) | c_in-{T}(V8,V7,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #476: exists( #16, #348 ), references = 10, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V6,V2,V5), c_in-{F}(V7,V6,V3), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V6,V0,V9), c_in-{F}(V9,V1,V3), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V6,V10,V3,V11), P_c_Tarski_Olub-{F}(V1,V10,V3,V11), P_c_Pair-{F}(V7,V11,V3,V3,V12), P_c_Pair-{F}(V8,V11,V3,V3,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V13,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V13,V14) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #526: mergings( V11 == V42, V13 == V42, V0 == V12, V12 == V26, V26 == V31, V31 == V42, V1 == V32, V32 == V42, V14 == V43, V43 == V3, V3 == V52, V33 == V2, V34 == V52, V15 == V27, V27 == V35, V35 == V4, V17 == V24, V18 == V25, V44 == V49, V48 == V38, V5 == V16, V6 == V24, V25 == V7, V16 == V28, V24 == V49, V23 == V38, V45 == V7, V28 == V36, V37 == V49, V36 == V53, V49 == V54, V7 == V55, V8 == V19, V9 == V20, V19 == V29, V20 == V46, V29 == V39, V30 == V46, V39 == V56, V46 == V41, V21 == V10, V10 == V51, V40 == V42, V42 == V22, V22 == V47, V47 == V57; #479 ), references = 1, size of lhs = 16:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V1,V1,V4), P_v_xa-{F}(V5), P_v_sko__4mP-{F}(V5,V1,V0,V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V2,V8), P_c_Pair-{F}(V8,V5,V2,V2,V9), P_c_Pair-{F}(V5,V8,V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V7,V2,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V2,V11,V1) | c_in-{T}(V5,V1,V2)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #595: mergings( V26 == V25, V25 == V4, V4 == V42, V9 == V42, V42 == V33, V8 == V12, V12 == V16, V16 == V32, V32 == V38, V38 == V33, V5 == V17, V17 == V33, V27 == V28, V28 == V29, V29 == V36, V36 == V43, V43 == V19, V19 == V44, V44 == V66, V21 == V48, V48 == V52, V52 == V58, V58 == V63, V0 == V51, V51 == V61, V6 == V10, V45 == V61, V63 == V67, V10 == V13, V13 == V20, V20 == V30, V61 == V56, V67 == V69, V30 == V34, V34 == V39, V39 == V71, V56 == V72, V69 == V73, V7 == V11, V46 == V49, V11 == V14, V49 == V53, V14 == V22, V15 == V53, V22 == V31, V24 == V53, V31 == V35, V53 == V59, V35 == V40, V37 == V59, V40 == V74, V59 == V41, V18 == V47, V47 == V55, V55 == V62, V62 == V65, V33 == V23, V23 == V50, V50 == V54, V54 == V57, V57 == V60, V60 == V64, V64 == V75, V68 == V70; #530 ), references = 1, size of lhs = 15:
% 16.05/16.23 P_v_A-{F}(V0), P_v_S-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V0,V0,V4), P_v_xa-{F}(V5), P_v_sko__4mP-{F}(V5,V0,V1,V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V0,V7,V2,V8), P_c_Pair-{F}(V5,V8,V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V7,V2,V10,V1), P_c_Tarski_Opotype_Opset-{F}(V7,V2,V10,V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #649: mergings( V22 == V21, V21 == V4, V4 == V38, V9 == V38, V38 == V29, V8 == V12, V12 == V16, V16 == V28, V28 == V34, V34 == V29, V5 == V17, V17 == V29, V23 == V24, V24 == V25, V25 == V32, V32 == V39, V39 == V40, V40 == V43, V43 == V57, V6 == V10, V10 == V13, V13 == V18, V18 == V26, V26 == V30, V30 == V35, V35 == V60, V7 == V11, V44 == V46, V11 == V14, V46 == V48, V14 == V19, V15 == V48, V19 == V27, V20 == V48, V27 == V31, V48 == V52, V31 == V36, V33 == V52, V36 == V61, V52 == V37, V42 == V45, V45 == V50, V50 == V54, V54 == V56, V29 == V41, V41 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V62, V58 == V59; #596 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_A-{F}(V0), P_v_S-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V0,V0,V4), P_v_xa-{F}(V5), P_v_sko__4mP-{F}(V5,V0,V1,V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V0,V7,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Oorder-{F}(V7,V2,V9,V1), P_c_Tarski_Opotype_Opset-{F}(V7,V2,V9,V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #696: mergings( V8 == V1, V1 == V24, V7 == V11, V11 == V14, V14 == V24, V24 == V23, V23 == V28, V4 == V15, V15 == V28, V18 == V19, V19 == V20, V20 == V27, V27 == V31, V31 == V33, V33 == V37, V37 == V51, V5 == V9, V9 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V29, V29 == V52, V6 == V10, V38 == V40, V10 == V13, V40 == V42, V13 == V17, V2 == V42, V17 == V22, V22 == V26, V42 == V46, V26 == V30, V30 == V53, V36 == V39, V39 == V44, V44 == V48, V48 == V50, V28 == V35, V35 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V54; #650 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_A-{F}(V0), P_v_S-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V0,V0,V4), P_v_xa-{F}(V5), P_v_cl-{F}(V6), P_c_Tarski_Olub-{F}(V0,V6,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V6,V2,V8,V1), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V8,V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #722: mergings( V6 == V0, V0 == V11, V5 == V7, V7 == V11, V8 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V24, V4 == V25, V13 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V23; #698 ), references = 1, size of lhs = 11:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_tc_set-{F}(V2,V4), c_lessequals-{F}(V0,V0,V4), P_v_xa-{F}(V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V6,V2,V7,V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #742: mergings( V7 == V9, V9 == V13, V2 == V13, V3 == V6, V6 == V8, V8 == V13, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V4 == V5, V5 == V22; #724 ), references = 1, size of lhs = 9:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_lessequals-{F}(V0,V0,V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #751: mergings( V2 == V8, V3 == V6, V6 == V7, V7 == V8, V4 == V5, V5 == V10; #744 ), references = 1, size of lhs = 7:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_xa-{F}(V3), P_v_cl-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #759: mergings( V1 == V7, V2 == V5, V5 == V6, V6 == V7, V3 == V4, V4 == V9; #752 ), references = 1, size of lhs = 6:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_xa-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #767: mergings( V1 == V7, V2 == V5, V5 == V6, V6 == V7, V3 == V4, V4 == V9; #760 ), references = 1, size of lhs = 5:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_xa-{F}(V2), P_v_cl-{F}(V3) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #775: mergings( V1 == V7, V2 == V5, V5 == V6, V6 == V7, V3 == V4, V4 == V9; #768 ), references = 1, size of lhs = 4:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_xa-{F}(V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #781: mergings( V1 == V5, V2 == V3, V3 == V4, V4 == V5; #776 ), references = 1, size of lhs = 3:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0), P_t_a-{F}(V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #787: mergings( V1 == V5, V2 == V3, V3 == V4, V4 == V5; #782 ), references = 1, size of lhs = 2:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #812: mergings( V12 == V0, V1 == V13, V13 == V26, V3 == V27, V27 == V28, V14 == V2, V15 == V28, V16 == V4, V5 == V17, V18 == V6, V19 == V7, V17 == V32, V6 == V30, V7 == V31, V8 == V20, V21 == V9, V20 == V33, V9 == V25, V22 == V10, V10 == V29, V23 == V11, V11 == V34; #789 ), references = 1, size of lhs = 16:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_lessequals-{F}(V1,V2,V4), P_tc_set-{F}(V3,V4), P_tc_prod-{F}(V3,V3,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V1,V0,V7), P_c_Pair-{F}(V7,V6,V3,V3,V8), P_c_Pair-{F}(V6,V7,V3,V3,V9), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V1,V10,V3,V7), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V11,V12) | c_in-{T}(V6,V12,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #860: mergings( V14 == V39, V1 == V20, V20 == V40, V0 == V19, V19 == V39, V34 == V40, V3 == V21, V42 == V46, V2 == V41, V21 == V46, V4 == V22, V22 == V35, V35 == V48, V6 == V15, V24 == V32, V5 == V23, V15 == V32, V7 == V25, V12 == V30, V23 == V36, V32 == V43, V25 == V44, V30 == V33, V36 == V51, V43 == V49, V44 == V50, V8 == V26, V9 == V27, V26 == V37, V27 == V31, V37 == V52, V31 == V38, V10 == V28, V28 == V47, V11 == V29, V29 == V45, V45 == V53, V13 == V38; #819 ), references = 1, size of lhs = 21:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), c_lessequals-{F}(V1,V2,V6), P_tc_set-{F}(V3,V6), P_tc_prod-{F}(V3,V3,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V1,V0,V9), P_c_Pair-{F}(V9,V4,V3,V3,V10), P_c_Pair-{F}(V5,V9,V3,V3,V11), P_c_Pair-{F}(V9,V8,V3,V3,V11), P_c_Pair-{F}(V8,V9,V3,V3,V12), P_v_cl-{F}(V13), P_c_Tarski_Olub-{F}(V1,V13,V3,V9), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V13,V3,V14,V0), P_c_Tarski_Opotype_Opset-{F}(V13,V3,V14,V15) | c_in-{T}(V10,V0,V7)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #898: mergings( V14 == V34, V1 == V20, V20 == V40, V0 == V19, V19 == V34, V35 == V40, V3 == V21, V21 == V41, V41 == V46, V4 == V22, V22 == V36, V36 == V47, V6 == V15, V24 == V32, V5 == V23, V15 == V32, V7 == V25, V12 == V30, V23 == V37, V32 == V42, V25 == V43, V30 == V33, V37 == V48, V42 == V49, V43 == V50, V8 == V26, V9 == V27, V26 == V38, V31 == V27, V38 == V51, V27 == V39, V10 == V28, V28 == V45, V11 == V29, V29 == V44, V44 == V52, V13 == V39; #820 ), references = 1, size of lhs = 21:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V1,V0,V5), P_v_cl-{F}(V9), P_c_Tarski_Olub-{F}(V1,V9,V3,V10), P_c_Pair-{F}(V10,V4,V3,V3,V11), P_c_Pair-{F}(V5,V10,V3,V3,V12), P_c_Pair-{F}(V10,V8,V3,V3,V12), P_c_Pair-{F}(V8,V10,V3,V3,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V9,V3,V14,V0), P_c_Tarski_Opotype_Opset-{F}(V9,V3,V14,V15) | c_in-{T}(V11,V0,V6)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #936: mergings( V14 == V34, V1 == V20, V20 == V40, V0 == V19, V19 == V34, V35 == V40, V3 == V21, V21 == V41, V41 == V46, V4 == V22, V22 == V36, V36 == V47, V6 == V15, V24 == V32, V5 == V23, V15 == V32, V7 == V25, V12 == V30, V23 == V37, V32 == V42, V25 == V43, V30 == V33, V37 == V50, V42 == V51, V43 == V52, V8 == V26, V9 == V27, V26 == V38, V31 == V27, V38 == V53, V27 == V39, V10 == V28, V28 == V45, V11 == V29, V29 == V44, V44 == V54, V13 == V39; #821 ), references = 1, size of lhs = 23:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_c_Pair-{F}(V5,V8,V3,V3,V9), P_v_sko__4mP-{F}(V8,V1,V0,V10), P_c_Pair-{F}(V10,V8,V3,V3,V9), P_v_cl-{F}(V11), P_c_Tarski_Olub-{F}(V1,V11,V3,V12), P_c_Pair-{F}(V12,V4,V3,V3,V13), P_c_Pair-{F}(V5,V12,V3,V3,V14), P_c_Pair-{F}(V12,V8,V3,V3,V14), P_c_Pair-{F}(V8,V12,V3,V3,V15), P_tc_Product__Type_Ounit-{F}(V16), P_c_Tarski_Opotype_Oorder-{F}(V11,V3,V16,V0), P_c_Tarski_Opotype_Opset-{F}(V11,V3,V16,V17) | c_in-{T}(V13,V0,V6)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #970: mergings( V14 == V24, V1 == V25, V0 == V24, V19 == V25, V27 == V32, V2 == V26, V3 == V32, V4 == V20, V20 == V33, V6 == V15, V5 == V21, V15 == V28, V7 == V29, V12 == V17, V21 == V34, V28 == V35, V29 == V36, V8 == V22, V9 == V13, V22 == V37, V13 == V23, V10 == V31, V11 == V30, V30 == V38; #943 ), references = 1, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V1,V0,V8), P_v_cl-{F}(V9), P_c_Tarski_Olub-{F}(V1,V9,V3,V10), P_c_Pair-{F}(V10,V4,V3,V3,V11), P_c_Pair-{F}(V10,V8,V3,V3,V11), P_c_Pair-{F}(V8,V10,V3,V3,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Oorder-{F}(V9,V3,V13,V0), P_c_Tarski_Opotype_Opset-{F}(V9,V3,V13,V14) | c_in-{T}(V5,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #995: mergings( V14 == V24, V1 == V25, V0 == V24, V19 == V25, V27 == V32, V2 == V26, V3 == V32, V4 == V20, V20 == V33, V6 == V15, V5 == V21, V15 == V28, V7 == V29, V12 == V17, V21 == V36, V28 == V37, V29 == V38, V8 == V22, V9 == V13, V22 == V39, V13 == V23, V10 == V31, V11 == V30, V30 == V40; #944 ), references = 1, size of lhs = 22:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_c_Pair-{F}(V8,V8,V3,V3,V9), P_v_sko__4mP-{F}(V8,V1,V0,V10), P_c_Pair-{F}(V10,V8,V3,V3,V9), P_v_cl-{F}(V11), P_c_Tarski_Olub-{F}(V1,V11,V3,V12), P_c_Pair-{F}(V12,V4,V3,V3,V13), P_c_Pair-{F}(V12,V8,V3,V3,V13), P_c_Pair-{F}(V8,V12,V3,V3,V14), P_tc_Product__Type_Ounit-{F}(V15), P_c_Tarski_Opotype_Oorder-{F}(V11,V3,V15,V0), P_c_Tarski_Opotype_Opset-{F}(V11,V3,V15,V16) | c_in-{T}(V5,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1021: mergings( V14 == V19, V1 == V26, V0 == V19, V19 == V25, V20 == V26, V28 == V33, V2 == V27, V3 == V33, V4 == V21, V21 == V34, V6 == V15, V5 == V22, V15 == V29, V7 == V30, V12 == V17, V22 == V37, V29 == V38, V30 == V36, V8 == V23, V9 == V13, V23 == V39, V13 == V24, V10 == V32, V11 == V31, V31 == V40; #945 ), references = 1, size of lhs = 21:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V1,V0,V9), P_c_Pair-{F}(V9,V8,V3,V3,V10), P_v_cl-{F}(V11), P_c_Tarski_Olub-{F}(V1,V11,V3,V12), P_c_Pair-{F}(V8,V12,V3,V3,V10), P_c_Pair-{F}(V12,V4,V3,V3,V13), P_c_Pair-{F}(V12,V8,V3,V3,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V11,V3,V14,V0), P_c_Tarski_Opotype_Opset-{F}(V11,V3,V14,V15) | c_in-{T}(V5,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1069: mergings( V22 == V37, V0 == V12, V12 == V37, V1 == V17, V17 == V11, V30 == V38, V38 == V3, V3 == V24, V24 == V47, V13 == V18, V18 == V4, V39 == V44, V43 == V26, V5 == V14, V6 == V44, V40 == V7, V14 == V19, V25 == V44, V27 == V7, V19 == V31, V32 == V44, V33 == V7, V31 == V48, V44 == V49, V7 == V50, V8 == V15, V9 == V41, V15 == V20, V16 == V41, V20 == V34, V21 == V41, V34 == V51, V41 == V36, V10 == V29, V29 == V23, V23 == V46, V11 == V28, V28 == V35, V35 == V42, V42 == V52, V4 == V45; #1025 ), references = 1, size of lhs = 16:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V1,V0,V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_c_Pair-{F}(V8,V6,V3,V3,V9), P_c_Pair-{F}(V6,V8,V3,V3,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V11,V2) | c_in-{T}(V6,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1113: mergings( V22 == V44, V0 == V12, V12 == V44, V44 == V37, V1 == V17, V17 == V11, V30 == V3, V3 == V24, V24 == V38, V38 == V48, V13 == V18, V18 == V4, V39 == V45, V43 == V26, V5 == V14, V6 == V45, V40 == V7, V14 == V19, V25 == V45, V27 == V7, V19 == V31, V32 == V45, V33 == V7, V31 == V51, V45 == V52, V7 == V50, V8 == V15, V9 == V41, V15 == V20, V16 == V41, V20 == V34, V21 == V41, V34 == V53, V41 == V36, V10 == V29, V29 == V23, V23 == V47, V11 == V28, V28 == V35, V35 == V42, V42 == V54, V4 == V46, V46 == V49; #1026 ), references = 1, size of lhs = 17:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V1,V0,V6), P_c_Pair-{F}(V6,V6,V3,V3,V7), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V1,V8,V3,V9), P_c_Pair-{F}(V6,V9,V3,V3,V7), P_c_Pair-{F}(V9,V6,V3,V3,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V8,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V8,V3,V11,V2) | c_in-{T}(V6,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1156: mergings( V22 == V37, V0 == V12, V12 == V37, V1 == V17, V17 == V11, V30 == V38, V38 == V3, V3 == V24, V24 == V47, V13 == V18, V18 == V4, V39 == V44, V43 == V26, V5 == V14, V6 == V44, V40 == V7, V14 == V19, V25 == V44, V27 == V7, V19 == V31, V32 == V44, V33 == V7, V31 == V50, V44 == V51, V7 == V52, V8 == V15, V9 == V41, V15 == V20, V16 == V41, V20 == V34, V21 == V41, V34 == V53, V41 == V36, V10 == V29, V29 == V23, V23 == V46, V11 == V28, V28 == V35, V35 == V42, V42 == V54, V4 == V45, V45 == V49; #1027 ), references = 1, size of lhs = 17:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V1,V0,V6), P_c_Pair-{F}(V6,V6,V3,V3,V7), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V1,V8,V3,V9), P_c_Pair-{F}(V9,V6,V3,V3,V10), P_c_Pair-{F}(V6,V9,V3,V3,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Oorder-{F}(V8,V3,V12,V0), P_c_Tarski_Opotype_Opset-{F}(V8,V3,V12,V2) | c_in-{T}(V6,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1190: mergings( V14 == V19, V1 == V26, V0 == V19, V19 == V25, V20 == V26, V28 == V33, V2 == V27, V3 == V33, V4 == V21, V21 == V34, V6 == V15, V5 == V22, V15 == V29, V7 == V30, V12 == V17, V22 == V36, V29 == V37, V30 == V38, V8 == V23, V9 == V13, V23 == V39, V13 == V24, V10 == V32, V11 == V31, V31 == V40; #1164 ), references = 1, size of lhs = 21:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_v_sko__4mP-{F}(V4,V1,V0,V5), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_v_sko__4mP-{F}(V8,V1,V0,V9), c_in-{F}(V9,V1,V3), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V1,V10,V3,V11), P_c_Pair-{F}(V11,V4,V3,V3,V12), P_c_Pair-{F}(V11,V8,V3,V3,V12), P_c_Pair-{F}(V8,V11,V3,V3,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V14,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V14,V15) | c_in-{T}(V5,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1282: mergings( V38 == V68, V68 == V14, V14 == V84, V44 == V33, V33 == V60, V60 == V1, V1 == V90, V0 == V19, V19 == V32, V32 == V59, V59 == V84, V20 == V39, V39 == V85, V85 == V90, V52 == V3, V3 == V46, V46 == V61, V61 == V62, V62 == V71, V71 == V91, V91 == V96, V21 == V2, V22 == V96, V4 == V23, V23 == V34, V34 == V40, V40 == V53, V53 == V72, V72 == V86, V86 == V97, V6 == V15, V63 == V69, V74 == V82, V5 == V24, V25 == V15, V26 == V7, V31 == V12, V24 == V35, V69 == V15, V7 == V64, V12 == V67, V35 == V41, V47 == V15, V48 == V67, V49 == V64, V41 == V54, V55 == V15, V56 == V64, V54 == V73, V82 == V15, V64 == V75, V67 == V80, V73 == V87, V15 == V92, V75 == V93, V80 == V83, V87 == V98, V92 == V99, V93 == V100, V8 == V27, V28 == V9, V27 == V36, V9 == V65, V36 == V42, V37 == V65, V42 == V57, V43 == V65, V57 == V76, V65 == V77, V76 == V88, V77 == V81, V88 == V101, V81 == V89, V29 == V10, V10 == V51, V51 == V45, V45 == V78, V78 == V95, V30 == V11, V11 == V50, V50 == V58, V58 == V66, V66 == V79, V79 == V94, V94 == V102, V13 == V89; #1195 ), references = 1, size of lhs = 23:
% 16.05/16.23 P_t_a-{F}(V0), P_v_r-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), c_in-{F}(V4,V3,V0), P_v_sko__4mP-{F}(V4,V2,V1,V5), P_v_sko__4mP-{F}(V5,V2,V1,V6), P_tc_prod-{F}(V0,V0,V7), P_tc_set-{F}(V0,V8), c_lessequals-{F}(V2,V3,V8), P_v_xa-{F}(V9), c_in-{F}(V9,V3,V0), P_v_sko__4mP-{F}(V9,V2,V1,V5), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V2,V10,V0,V11), P_c_Pair-{F}(V11,V5,V0,V0,V12), P_c_Pair-{F}(V6,V11,V0,V0,V12), P_c_Pair-{F}(V11,V9,V0,V0,V12), P_c_Pair-{F}(V11,V4,V0,V0,V13), P_c_Pair-{F}(V9,V11,V0,V0,V14), P_tc_Product__Type_Ounit-{F}(V15), P_c_Tarski_Opotype_Oorder-{F}(V10,V0,V15,V1), P_c_Tarski_Opotype_Opset-{F}(V10,V0,V15,V16) | c_in-{T}(V13,V1,V7)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1325: mergings( V14 == V19, V1 == V25, V0 == V19, V19 == V24, V24 == V42, V20 == V25, V25 == V43, V27 == V31, V2 == V26, V3 == V31, V26 == V44, V31 == V45, V4 == V21, V21 == V32, V32 == V46, V6 == V15, V34 == V40, V35 == V41, V5 == V22, V15 == V28, V7 == V29, V12 == V17, V22 == V33, V28 == V40, V17 == V39, V29 == V41, V33 == V47, V40 == V48, V8 == V23, V9 == V13, V23 == V36, V13 == V37, V36 == V49, V11 == V30, V30 == V38, V38 == V50; #1288 ), references = 4, size of lhs = 18:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), c_lessequals-{F}(V1,V2,V3), P_t_a-{F}(V4), P_tc_set-{F}(V4,V3), c_in-{F}(V5,V2,V4), P_v_sko__4mP-{F}(V5,V1,V0,V6), P_tc_prod-{F}(V4,V4,V7), P_v_xa-{F}(V8), P_v_cl-{F}(V9), P_c_Tarski_Olub-{F}(V1,V9,V4,V10), P_c_Pair-{F}(V10,V5,V4,V4,V11), P_c_Pair-{F}(V10,V8,V4,V4,V11), P_c_Pair-{F}(V8,V10,V4,V4,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Oorder-{F}(V9,V4,V13,V0), P_c_Tarski_Opotype_Opset-{F}(V9,V4,V13,V14) | c_in-{T}(V6,V1,V4)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1349: mergings( V4 == V13, V13 == V27, V5 == V14, V14 == V28, V6 == V15, V2 == V29, V15 == V30, V1 == V16, V16 == V31, V7 == V17, V8 == V18, V9 == V19, V17 == V32, V18 == V33, V19 == V34, V23 == V26, V10 == V20, V11 == V21, V20 == V35, V22 == V36; #1328 ), references = 1, size of lhs = 21:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V6,V2,V5), P_v_xa-{F}(V7), c_in-{F}(V7,V2,V3), P_v_sko__4mP-{F}(V7,V6,V0,V8), c_in-{F}(V8,V1,V3), P_v_cl-{F}(V9), P_c_Tarski_Olub-{F}(V6,V9,V3,V10), P_c_Pair-{F}(V10,V7,V3,V3,V11), P_c_Tarski_Olub-{F}(V1,V9,V3,V12), P_c_Pair-{F}(V12,V7,V3,V3,V11), P_c_Pair-{F}(V7,V12,V3,V3,V13), c_in-{F}(V13,V0,V4), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V9,V3,V14,V0), P_c_Tarski_Opotype_Opset-{F}(V9,V3,V14,V15) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1384: mergings( V14 == V38, V1 == V25, V0 == V19, V19 == V24, V24 == V42, V20 == V25, V25 == V43, V27 == V29, V2 == V26, V3 == V29, V26 == V44, V29 == V45, V4 == V21, V21 == V30, V30 == V46, V5 == V22, V6 == V28, V7 == V17, V22 == V31, V15 == V39, V28 == V32, V12 == V37, V17 == V33, V31 == V47, V32 == V48, V37 == V41, V8 == V23, V9 == V13, V23 == V34, V13 == V35, V34 == V49, V11 == V36, V36 == V50; #1350 ), references = 1, size of lhs = 23:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V2,V3), P_tc_prod-{F}(V3,V3,V5), P_tc_set-{F}(V3,V6), c_lessequals-{F}(V7,V2,V6), P_v_sko__4mP-{F}(V4,V7,V0,V8), P_v_xa-{F}(V9), c_in-{F}(V9,V2,V3), P_v_sko__4mP-{F}(V9,V7,V0,V10), c_in-{F}(V10,V1,V3), P_v_cl-{F}(V11), P_c_Tarski_Olub-{F}(V7,V11,V3,V12), P_c_Pair-{F}(V12,V4,V3,V3,V13), P_c_Pair-{F}(V12,V9,V3,V3,V14), P_c_Tarski_Olub-{F}(V1,V11,V3,V15), P_c_Pair-{F}(V15,V9,V3,V3,V14), P_c_Pair-{F}(V9,V15,V3,V3,V13), P_tc_Product__Type_Ounit-{F}(V16), P_c_Tarski_Opotype_Oorder-{F}(V11,V3,V16,V0), P_c_Tarski_Opotype_Opset-{F}(V11,V3,V16,V17) | c_in-{T}(V8,V7,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1419: mergings( V0 == V15, V15 == V21, V1 == V16, V16 == V22, V24 == V29, V2 == V23, V3 == V29, V4 == V17, V17 == V30, V5 == V18, V6 == V25, V7 == V26, V12 == V14, V18 == V32, V25 == V33, V26 == V34, V8 == V19, V19 == V35, V9 == V20, V10 == V28, V11 == V27, V27 == V36; #1395 ), references = 1, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V1,V3), P_tc_prod-{F}(V3,V3,V5), P_tc_set-{F}(V3,V6), c_lessequals-{F}(V1,V2,V6), P_v_xa-{F}(V7), c_in-{F}(V7,V2,V3), P_c_Pair-{F}(V4,V7,V3,V3,V8), P_v_sko__4mP-{F}(V7,V1,V0,V9), c_in-{F}(V9,V1,V3), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V1,V10,V3,V11), P_c_Pair-{F}(V11,V7,V3,V3,V8), P_c_Pair-{F}(V7,V11,V3,V3,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V13,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V13,V14) | c_in-{T}(V7,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1442: mergings( V0 == V15, V15 == V21, V1 == V16, V16 == V22, V24 == V30, V2 == V23, V3 == V30, V4 == V17, V17 == V31, V5 == V18, V6 == V25, V7 == V26, V12 == V14, V18 == V34, V25 == V35, V26 == V36, V8 == V19, V19 == V37, V9 == V20, V10 == V29, V11 == V27, V27 == V38; #1396 ), references = 1, size of lhs = 22:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V1,V3), c_in-{F}(V5,V1,V3), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_c_Pair-{F}(V4,V8,V3,V3,V9), P_c_Pair-{F}(V5,V8,V3,V3,V10), P_v_sko__4mP-{F}(V8,V1,V0,V11), P_c_Pair-{F}(V11,V8,V3,V3,V10), P_v_cl-{F}(V12), P_c_Tarski_Olub-{F}(V1,V12,V3,V13), P_c_Pair-{F}(V13,V8,V3,V3,V9), P_c_Pair-{F}(V8,V13,V3,V3,V14), P_tc_Product__Type_Ounit-{F}(V15), P_c_Tarski_Opotype_Oorder-{F}(V12,V3,V15,V0), P_c_Tarski_Opotype_Opset-{F}(V12,V3,V15,V16) | c_in-{T}(V8,V1,V3)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1458: mergings( V0 == V16, V1 == V17, V3 == V19, V4 == V20, V5 == V22, V6 == V23, V7 == V24, V8 == V25, V9 == V15, V10 == V18, V11 == V26; #1445 ), references = 1, size of lhs = 20:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V1,V3), P_tc_prod-{F}(V3,V3,V5), P_tc_set-{F}(V3,V6), c_lessequals-{F}(V1,V2,V6), P_v_xa-{F}(V7), c_in-{F}(V7,V2,V3), P_c_Pair-{F}(V4,V7,V3,V3,V8), P_v_sko__4mP-{F}(V7,V1,V0,V9), c_in-{F}(V9,V1,V3), P_v_cl-{F}(V10), P_c_Tarski_Olub-{F}(V1,V10,V3,V11), P_c_Pair-{F}(V11,V7,V3,V3,V12), P_c_Pair-{F}(V7,V11,V3,V3,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V10,V3,V14,V0), P_c_Tarski_Opotype_Opset-{F}(V10,V3,V14,V15) | c_in-{T}(V8,V0,V5)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1470: mergings( V0 == V16, V1 == V17, V3 == V20, V4 == V21, V5 == V24, V6 == V25, V7 == V26, V8 == V27, V9 == V15, V10 == V19, V11 == V28; #1446 ), references = 1, size of lhs = 22:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V4,V1,V3), c_in-{F}(V5,V1,V3), P_tc_prod-{F}(V3,V3,V6), P_tc_set-{F}(V3,V7), c_lessequals-{F}(V1,V2,V7), P_v_xa-{F}(V8), c_in-{F}(V8,V2,V3), P_c_Pair-{F}(V4,V8,V3,V3,V9), P_c_Pair-{F}(V5,V8,V3,V3,V10), P_v_sko__4mP-{F}(V8,V1,V0,V11), P_c_Pair-{F}(V11,V8,V3,V3,V10), P_v_cl-{F}(V12), P_c_Tarski_Olub-{F}(V1,V12,V3,V13), P_c_Pair-{F}(V13,V8,V3,V3,V14), P_c_Pair-{F}(V8,V13,V3,V3,V15), P_tc_Product__Type_Ounit-{F}(V16), P_c_Tarski_Opotype_Oorder-{F}(V12,V3,V16,V0), P_c_Tarski_Opotype_Opset-{F}(V12,V3,V16,V17) | c_in-{T}(V9,V0,V6)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1524: mergings( V4 == V38, V38 == V41, V10 == V28, V28 == V48, V9 == V27, V27 == V41, V41 == V47, V5 == V42, V42 == V48, V19 == V11, V11 == V29, V29 == V49, V49 == V54, V20 == V30, V30 == V43, V43 == V1, V32 == V39, V37 == V40, V6 == V22, V12 == V23, V24 == V13, V22 == V31, V23 == V39, V33 == V13, V40 == V17, V31 == V44, V39 == V50, V51 == V13, V44 == V55, V50 == V56, V13 == V57, V7 == V25, V14 == V8, V25 == V34, V8 == V35, V34 == V45, V45 == V58, V35 == V46, V18 == V15, V15 == V53, V16 == V26, V26 == V36, V36 == V52, V52 == V59, V21 == V0; #1478 ), references = 2, size of lhs = 18:
% 16.05/16.23 P_t_a-{F}(V0), P_v_r-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_tc_prod-{F}(V0,V0,V4), P_tc_set-{F}(V0,V5), c_lessequals-{F}(V2,V3,V5), P_v_xa-{F}(V6), c_in-{F}(V6,V3,V0), P_v_sko__4mP-{F}(V6,V2,V1,V7), c_in-{F}(V7,V2,V0), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V2,V8,V0,V9), P_c_Pair-{F}(V9,V6,V0,V0,V10), P_c_Pair-{F}(V6,V9,V0,V0,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Oorder-{F}(V8,V0,V12,V1), P_c_Tarski_Opotype_Opset-{F}(V8,V0,V12,V13) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1573: mergings( V4 == V38, V38 == V41, V10 == V28, V28 == V48, V9 == V27, V27 == V41, V41 == V47, V5 == V42, V42 == V48, V19 == V11, V11 == V29, V50 == V55, V2 == V49, V29 == V55, V1 == V20, V20 == V30, V30 == V43, V43 == V56, V32 == V39, V37 == V40, V6 == V22, V12 == V23, V13 == V24, V22 == V31, V23 == V39, V17 == V40, V24 == V33, V31 == V44, V39 == V51, V33 == V52, V44 == V58, V51 == V59, V52 == V60, V7 == V25, V14 == V8, V25 == V34, V8 == V35, V34 == V45, V45 == V61, V35 == V46, V18 == V15, V15 == V54, V16 == V26, V26 == V36, V36 == V53, V53 == V62, V21 == V0, V0 == V57; #1477 ), references = 2, size of lhs = 18:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), c_in-{F}(V6,V2,V3), P_v_sko__4mP-{F}(V6,V1,V0,V7), c_in-{F}(V7,V1,V3), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V1,V8,V3,V9), P_c_Pair-{F}(V9,V6,V3,V3,V10), P_c_Pair-{F}(V6,V9,V3,V3,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Oorder-{F}(V8,V3,V12,V0), P_c_Tarski_Opotype_Opset-{F}(V8,V3,V12,V13) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1673: mergings( V16 == V79, V79 == V87, V87 == V81, V22 == V11, V0 == V12, V12 == V21, V21 == V42, V42 == V69, V69 == V81, V1 == V17, V17 == V43, V43 == V51, V51 == V11, V11 == V82, V25 == V31, V3 == V56, V56 == V62, V62 == V63, V63 == V70, V70 == V94, V94 == V100, V23 == V44, V31 == V45, V44 == V2, V45 == V100, V13 == V18, V18 == V32, V32 == V46, V46 == V71, V71 == V83, V83 == V4, V34 == V40, V35 == V41, V57 == V88, V61 == V27, V73 == V80, V78 == V96, V5 == V14, V6 == V88, V58 == V7, V14 == V19, V26 == V88, V28 == V7, V19 == V33, V40 == V88, V39 == V27, V41 == V7, V33 == V47, V48 == V88, V47 == V52, V88 == V90, V27 == V102, V7 == V101, V52 == V66, V90 == V91, V92 == V101, V66 == V72, V80 == V91, V74 == V101, V96 == V102, V72 == V84, V91 == V95, V97 == V101, V84 == V103, V95 == V104, V101 == V105, V8 == V15, V9 == V59, V15 == V20, V29 == V59, V20 == V36, V37 == V59, V36 == V49, V49 == V53, V55 == V59, V53 == V67, V59 == V54, V67 == V75, V54 == V76, V75 == V85, V85 == V106, V76 == V86, V24 == V10, V10 == V65, V65 == V93, V93 == V99, V30 == V38, V38 == V50, V50 == V82, V82 == V60, V60 == V64, V64 == V68, V68 == V77, V77 == V98, V98 == V107; #1576 ), references = 1, size of lhs = 16:
% 16.05/16.23 P_t_a-{F}(V0), P_v_A-{F}(V1), P_v_r-{F}(V2), P_v_S-{F}(V3), P_tc_prod-{F}(V0,V0,V4), P_tc_set-{F}(V0,V5), c_lessequals-{F}(V3,V1,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V3,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V3,V8,V0,V9), P_c_Pair-{F}(V9,V6,V0,V0,V10), P_c_Pair-{F}(V6,V9,V0,V0,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Oorder-{F}(V8,V0,V12,V2), P_c_Tarski_Opotype_Opset-{F}(V8,V0,V12,V1) | c_in-{T}(V6,V3,V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1769: mergings( V16 == V79, V79 == V89, V89 == V83, V22 == V11, V0 == V12, V12 == V21, V21 == V42, V42 == V69, V69 == V83, V1 == V17, V17 == V43, V43 == V51, V51 == V11, V11 == V84, V25 == V31, V3 == V56, V56 == V62, V62 == V63, V63 == V70, V70 == V97, V97 == V102, V23 == V44, V31 == V45, V44 == V2, V45 == V102, V13 == V18, V18 == V32, V32 == V46, V46 == V71, V71 == V85, V85 == V4, V34 == V40, V35 == V41, V57 == V90, V61 == V27, V73 == V80, V78 == V82, V5 == V14, V6 == V90, V58 == V7, V14 == V19, V26 == V90, V28 == V7, V19 == V33, V40 == V90, V39 == V27, V41 == V7, V33 == V47, V48 == V90, V47 == V52, V90 == V91, V27 == V93, V7 == V92, V52 == V66, V91 == V94, V92 == V95, V66 == V72, V80 == V94, V74 == V95, V82 == V93, V72 == V86, V94 == V98, V99 == V95, V86 == V103, V98 == V104, V95 == V105, V8 == V15, V9 == V59, V15 == V20, V29 == V59, V20 == V36, V37 == V59, V36 == V49, V49 == V53, V55 == V59, V53 == V67, V59 == V54, V67 == V75, V54 == V76, V75 == V87, V87 == V106, V76 == V88, V24 == V10, V10 == V65, V65 == V96, V96 == V101, V30 == V38, V38 == V50, V50 == V84, V84 == V60, V60 == V64, V64 == V68, V68 == V77, V77 == V100, V100 == V107; #1577 ), references = 1, size of lhs = 16:
% 16.05/16.23 P_t_a-{F}(V0), P_v_A-{F}(V1), P_v_r-{F}(V2), P_v_S-{F}(V3), P_tc_prod-{F}(V0,V0,V4), P_tc_set-{F}(V0,V5), c_lessequals-{F}(V3,V1,V5), P_v_xa-{F}(V6), P_v_sko__4mP-{F}(V6,V3,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Olub-{F}(V3,V8,V0,V9), P_c_Pair-{F}(V9,V6,V0,V0,V10), P_c_Pair-{F}(V6,V9,V0,V0,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Oorder-{F}(V8,V0,V12,V2), P_c_Tarski_Opotype_Opset-{F}(V8,V0,V12,V1) | c_in-{T}(V6,V3,V0)
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #1902: mergings( V11 == V1, V17 == V48, V48 == V80, V7 == V16, V16 == V36, V36 == V51, V51 == V64, V64 == V1, V4 == V12, V12 == V37, V37 == V45, V45 == V55, V55 == V65, V65 == V80, V20 == V25, V59 == V60, V60 == V61, V61 == V81, V81 == V83, V83 == V92, V92 == V96, V96 == V107, V107 == V116, V116 == V123, V18 == V38, V25 == V39, V38 == V66, V39 == V67, V66 == V82, V67 == V123, V8 == V13, V13 == V26, V26 == V40, V40 == V52, V52 == V56, V56 == V68, V68 == V77, V77 == V0, V28 == V34, V29 == V35, V87 == V103, V91 == V22, V97 == V102, V101 == V109, V5 == V9, V84 == V103, V88 == V124, V9 == V14, V21 == V103, V23 == V124, V14 == V27, V34 == V103, V33 == V22, V35 == V124, V27 == V41, V42 == V103, V41 == V46, V103 == V104, V22 == V127, V124 == V126, V46 == V49, V104 == V105, V125 == V126, V49 == V53, V102 == V105, V98 == V126, V109 == V127, V53 == V57, V105 == V108, V110 == V126, V57 == V62, V108 == V113, V114 == V126, V62 == V69, V70 == V113, V71 == V126, V76 == V127, V69 == V78, V113 == V118, V120 == V126, V119 == V127, V78 == V128, V118 == V129, V126 == V130, V6 == V10, V85 == V89, V10 == V15, V2 == V89, V15 == V30, V31 == V89, V30 == V43, V43 == V47, V47 == V50, V50 == V54, V89 == V99, V54 == V58, V58 == V63, V63 == V72, V73 == V99, V72 == V79, V79 == V131, V74 == V19, V19 == V86, V86 == V94, V94 == V106, V106 == V112, V112 == V117, V117 == V122, V24 == V32, V32 == V44, V44 == V75, V75 == V80, V80 == V90, V90 == V93, V93 == V95, V95 == V100, V100 == V111, V111 == V115, V115 == V121, V121 == V132; #1781 ), references = 1, size of lhs = 15:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_c_Pair-{F}(V8,V6,V3,V3,V9), P_c_Pair-{F}(V6,V8,V3,V3,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V11,V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2025: mergings( V12 == V1, V1 == V4, V18 == V49, V49 == V122, V8 == V17, V17 == V37, V37 == V52, V52 == V65, V65 == V4, V5 == V13, V13 == V38, V38 == V46, V46 == V56, V56 == V66, V66 == V122, V21 == V26, V60 == V61, V61 == V62, V62 == V82, V82 == V91, V91 == V95, V95 == V106, V106 == V115, V115 == V116, V116 == V124, V19 == V39, V26 == V40, V39 == V67, V40 == V68, V67 == V81, V68 == V124, V9 == V14, V14 == V27, V27 == V41, V41 == V53, V53 == V57, V57 == V69, V69 == V78, V78 == V0, V29 == V35, V30 == V36, V86 == V102, V90 == V23, V96 == V101, V100 == V108, V6 == V10, V83 == V102, V87 == V125, V10 == V15, V22 == V102, V24 == V125, V15 == V28, V35 == V102, V34 == V23, V36 == V125, V28 == V42, V43 == V102, V42 == V47, V102 == V103, V23 == V128, V125 == V127, V47 == V50, V103 == V104, V126 == V127, V50 == V54, V101 == V104, V97 == V127, V108 == V128, V54 == V58, V104 == V107, V109 == V127, V58 == V63, V107 == V112, V113 == V127, V63 == V70, V71 == V112, V72 == V127, V77 == V128, V70 == V79, V112 == V119, V121 == V127, V120 == V128, V79 == V129, V119 == V130, V127 == V132, V128 == V131, V7 == V11, V84 == V88, V11 == V16, V2 == V88, V16 == V31, V32 == V88, V31 == V44, V44 == V48, V48 == V51, V51 == V55, V88 == V98, V55 == V59, V59 == V64, V64 == V73, V74 == V98, V73 == V80, V80 == V133, V75 == V20, V20 == V85, V85 == V93, V93 == V105, V105 == V111, V111 == V117, V117 == V123, V25 == V33, V33 == V45, V45 == V76, V76 == V122, V122 == V89, V89 == V92, V92 == V94, V94 == V99, V99 == V110, V110 == V114, V114 == V118, V118 == V134; #1779 ), references = 1, size of lhs = 15:
% 16.05/16.23 P_v_r-{F}(V0), P_t_a-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_tc_prod-{F}(V1,V1,V4), P_tc_set-{F}(V1,V5), c_lessequals-{F}(V2,V3,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V2,V7,V1,V8), P_c_Pair-{F}(V8,V6,V1,V1,V9), P_c_Pair-{F}(V6,V8,V1,V1,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V7,V1,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V1,V11,V3) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2148: mergings( V12 == V1, V1 == V4, V18 == V49, V49 == V81, V8 == V17, V17 == V37, V37 == V52, V52 == V65, V65 == V4, V5 == V13, V13 == V38, V38 == V46, V46 == V56, V56 == V66, V66 == V81, V21 == V26, V60 == V61, V61 == V62, V62 == V82, V82 == V84, V84 == V93, V93 == V97, V97 == V108, V108 == V117, V117 == V124, V19 == V39, V26 == V40, V39 == V67, V40 == V68, V67 == V83, V68 == V124, V9 == V14, V14 == V27, V27 == V41, V41 == V53, V53 == V57, V57 == V69, V69 == V78, V78 == V0, V29 == V35, V30 == V36, V88 == V104, V92 == V23, V98 == V103, V102 == V110, V6 == V10, V85 == V104, V89 == V125, V10 == V15, V22 == V104, V24 == V125, V15 == V28, V35 == V104, V34 == V23, V36 == V125, V28 == V42, V43 == V104, V42 == V47, V104 == V105, V23 == V128, V125 == V127, V47 == V50, V105 == V106, V126 == V127, V50 == V54, V103 == V106, V99 == V127, V110 == V128, V54 == V58, V106 == V109, V111 == V127, V58 == V63, V109 == V114, V115 == V127, V63 == V70, V71 == V114, V72 == V127, V77 == V128, V70 == V79, V114 == V119, V121 == V127, V120 == V128, V79 == V129, V119 == V130, V127 == V132, V128 == V131, V7 == V11, V86 == V90, V11 == V16, V2 == V90, V16 == V31, V32 == V90, V31 == V44, V44 == V48, V48 == V51, V51 == V55, V90 == V100, V55 == V59, V59 == V64, V64 == V73, V74 == V100, V73 == V80, V80 == V133, V75 == V20, V20 == V87, V87 == V95, V95 == V107, V107 == V113, V113 == V118, V118 == V123, V25 == V33, V33 == V45, V45 == V76, V76 == V81, V81 == V91, V91 == V94, V94 == V96, V96 == V101, V101 == V112, V112 == V116, V116 == V122, V122 == V134; #1780 ), references = 1, size of lhs = 15:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_c_Pair-{F}(V8,V6,V3,V3,V9), P_c_Pair-{F}(V6,V8,V3,V3,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V11,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V11,V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2236: mergings( V10 == V58, V15 == V36, V36 == V62, V7 == V14, V14 == V27, V27 == V39, V39 == V47, V47 == V58, V4 == V11, V11 == V28, V28 == V33, V33 == V42, V42 == V48, V48 == V62, V21 == V59, V59 == V60, V60 == V61, V61 == V63, V63 == V17, V17 == V29, V29 == V49, V49 == V64, V64 == V70, V70 == V74, V74 == V81, V81 == V86, V86 == V91, V26 == V18, V18 == V55, V55 == V69, V69 == V77, V77 == V82, V82 == V88, V88 == V92, V1 == V79, V79 == V78, V5 == V8, V8 == V12, V12 == V22, V22 == V30, V30 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V50, V50 == V56, V56 == V93, V6 == V9, V65 == V67, V9 == V13, V19 == V67, V13 == V23, V24 == V67, V23 == V31, V31 == V35, V35 == V38, V38 == V41, V67 == V75, V41 == V44, V44 == V46, V46 == V51, V52 == V75, V51 == V57, V57 == V94, V53 == V16, V16 == V66, V66 == V72, V72 == V80, V80 == V84, V84 == V87, V87 == V90, V62 == V20, V20 == V25, V25 == V32, V32 == V54, V54 == V68, V68 == V71, V71 == V73, V73 == V76, V76 == V83, V83 == V85, V85 == V89, V89 == V95; #2149 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_c_Pair-{F}(V8,V6,V3,V3,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V10,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V10,V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2323: mergings( V11 == V85, V85 == V4, V16 == V37, V37 == V90, V8 == V15, V15 == V28, V28 == V40, V40 == V48, V48 == V4, V5 == V12, V12 == V29, V29 == V34, V34 == V43, V43 == V49, V49 == V90, V22 == V18, V18 == V30, V30 == V50, V50 == V59, V59 == V60, V60 == V61, V61 == V62, V62 == V68, V68 == V72, V72 == V77, V77 == V81, V81 == V82, V82 == V92, V27 == V19, V19 == V56, V56 == V67, V67 == V75, V75 == V88, V88 == V89, V89 == V93, V93 == V95, V1 == V87, V87 == V86, V6 == V9, V9 == V13, V13 == V23, V23 == V31, V31 == V35, V35 == V38, V38 == V41, V41 == V44, V44 == V46, V46 == V51, V51 == V57, V57 == V94, V7 == V10, V63 == V65, V10 == V14, V20 == V65, V14 == V24, V25 == V65, V24 == V32, V32 == V36, V36 == V39, V39 == V42, V65 == V73, V42 == V45, V45 == V47, V47 == V52, V53 == V73, V52 == V58, V58 == V96, V54 == V17, V17 == V64, V64 == V70, V70 == V76, V76 == V79, V79 == V83, V83 == V91, V90 == V21, V21 == V26, V26 == V33, V33 == V55, V55 == V66, V66 == V69, V69 == V71, V71 == V74, V74 == V78, V78 == V80, V80 == V84, V84 == V97; #2150 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_r-{F}(V0), P_t_a-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_tc_prod-{F}(V1,V1,V4), P_tc_set-{F}(V1,V5), c_lessequals-{F}(V2,V3,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V2,V7,V1,V8), P_c_Pair-{F}(V8,V6,V1,V1,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V7,V1,V10,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V1,V10,V3) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2410: mergings( V11 == V59, V59 == V4, V16 == V37, V37 == V63, V8 == V15, V15 == V28, V28 == V40, V40 == V48, V48 == V4, V5 == V12, V12 == V29, V29 == V34, V34 == V43, V43 == V49, V49 == V63, V22 == V60, V60 == V61, V61 == V62, V62 == V64, V64 == V18, V18 == V30, V30 == V50, V50 == V65, V65 == V71, V71 == V75, V75 == V82, V82 == V87, V87 == V92, V27 == V19, V19 == V56, V56 == V70, V70 == V78, V78 == V83, V83 == V89, V89 == V93, V93 == V95, V1 == V80, V80 == V79, V6 == V9, V9 == V13, V13 == V23, V23 == V31, V31 == V35, V35 == V38, V38 == V41, V41 == V44, V44 == V46, V46 == V51, V51 == V57, V57 == V94, V7 == V10, V66 == V68, V10 == V14, V20 == V68, V14 == V24, V25 == V68, V24 == V32, V32 == V36, V36 == V39, V39 == V42, V68 == V76, V42 == V45, V45 == V47, V47 == V52, V53 == V76, V52 == V58, V58 == V96, V54 == V17, V17 == V67, V67 == V73, V73 == V81, V81 == V85, V85 == V88, V88 == V91, V63 == V21, V21 == V26, V26 == V33, V33 == V55, V55 == V69, V69 == V72, V72 == V74, V74 == V77, V77 == V84, V84 == V86, V86 == V90, V90 == V97; #2151 ), references = 1, size of lhs = 14:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_c_Pair-{F}(V8,V6,V3,V3,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V10,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V10,V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2489: mergings( V10 == V44, V15 == V27, V27 == V48, V7 == V14, V14 == V20, V20 == V30, V30 == V38, V38 == V44, V4 == V11, V11 == V21, V21 == V24, V24 == V33, V33 == V39, V39 == V48, V17 == V45, V45 == V46, V46 == V47, V47 == V49, V49 == V50, V50 == V54, V54 == V56, V56 == V61, V61 == V66, V66 == V70, V70 == V74, V74 == V78, V78 == V82, V5 == V8, V8 == V12, V12 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V36, V36 == V40, V40 == V42, V42 == V83, V6 == V9, V62 == V64, V9 == V13, V16 == V64, V13 == V19, V52 == V64, V19 == V23, V23 == V26, V26 == V29, V29 == V32, V64 == V71, V32 == V35, V35 == V37, V37 == V41, V57 == V71, V41 == V43, V43 == V84, V58 == V60, V60 == V63, V63 == V68, V68 == V73, V73 == V76, V76 == V79, V79 == V81, V48 == V51, V51 == V53, V53 == V55, V55 == V59, V59 == V65, V65 == V67, V67 == V69, V69 == V72, V72 == V75, V75 == V77, V77 == V80, V80 == V85; #2411 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V9,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V9,V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2566: mergings( V11 == V80, V80 == V4, V16 == V28, V28 == V81, V8 == V15, V15 == V21, V21 == V31, V31 == V39, V39 == V4, V5 == V12, V12 == V22, V22 == V25, V25 == V34, V34 == V40, V40 == V81, V18 == V45, V45 == V49, V49 == V51, V51 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V64, V64 == V68, V68 == V72, V72 == V76, V76 == V77, V77 == V83, V6 == V9, V9 == V13, V13 == V19, V19 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V37, V37 == V41, V41 == V43, V43 == V84, V7 == V10, V60 == V62, V10 == V14, V17 == V62, V14 == V20, V47 == V62, V20 == V24, V24 == V27, V27 == V30, V30 == V33, V62 == V69, V33 == V36, V36 == V38, V38 == V42, V52 == V69, V42 == V44, V44 == V85, V53 == V55, V55 == V61, V61 == V66, V66 == V71, V71 == V74, V74 == V78, V78 == V82, V81 == V46, V46 == V48, V48 == V50, V50 == V54, V54 == V63, V63 == V65, V65 == V67, V67 == V70, V70 == V73, V73 == V75, V75 == V79, V79 == V86; #2412 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_r-{F}(V0), P_t_a-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_tc_prod-{F}(V1,V1,V4), P_tc_set-{F}(V1,V5), c_lessequals-{F}(V2,V3,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V2,V7,V1,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Oorder-{F}(V7,V1,V9,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V1,V9,V3) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2643: mergings( V11 == V45, V45 == V4, V16 == V28, V28 == V49, V8 == V15, V15 == V21, V21 == V31, V31 == V39, V39 == V4, V5 == V12, V12 == V22, V22 == V25, V25 == V34, V34 == V40, V40 == V49, V18 == V46, V46 == V47, V47 == V48, V48 == V50, V50 == V51, V51 == V55, V55 == V57, V57 == V62, V62 == V67, V67 == V71, V71 == V75, V75 == V79, V79 == V83, V6 == V9, V9 == V13, V13 == V19, V19 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V37, V37 == V41, V41 == V43, V43 == V84, V7 == V10, V63 == V65, V10 == V14, V17 == V65, V14 == V20, V53 == V65, V20 == V24, V24 == V27, V27 == V30, V30 == V33, V65 == V72, V33 == V36, V36 == V38, V38 == V42, V58 == V72, V42 == V44, V44 == V85, V59 == V61, V61 == V64, V64 == V69, V69 == V74, V74 == V77, V77 == V80, V80 == V82, V49 == V52, V52 == V54, V54 == V56, V56 == V60, V60 == V66, V66 == V68, V68 == V70, V70 == V73, V73 == V76, V76 == V78, V78 == V81, V81 == V86; #2413 ), references = 1, size of lhs = 13:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Olub-{F}(V1,V7,V3,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V9,V0), P_c_Tarski_Opotype_Opset-{F}(V7,V3,V9,V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2687: mergings( V7 == V12, V12 == V18, V5 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V18, V9 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V38, V4 == V39, V8 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V21 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V37; #2647 ), references = 1, size of lhs = 11:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V8,V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2725: mergings( V7 == V12, V12 == V36, V5 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V36, V9 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V38, V4 == V39, V8 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V16 == V20, V20 == V21, V21 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37; #2648 ), references = 1, size of lhs = 11:
% 16.05/16.23 P_v_r-{F}(V0), P_t_a-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_tc_prod-{F}(V1,V1,V4), P_tc_set-{F}(V1,V5), c_lessequals-{F}(V2,V3,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V1,V8,V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2763: mergings( V7 == V12, V12 == V18, V5 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V18, V9 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V38, V4 == V39, V8 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V21 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V37; #2649 ), references = 1, size of lhs = 11:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V1,V2,V5), P_v_xa-{F}(V6), P_v_cl-{F}(V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V3,V8,V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2797: mergings( V8 == V12, V12 == V20, V2 == V15, V3 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V20, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V4 == V5, V5 == V33; #2767 ), references = 1, size of lhs = 9:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), c_lessequals-{F}(V1,V2,V4), P_v_xa-{F}(V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2825: mergings( V8 == V12, V12 == V31, V2 == V30, V3 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V31, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V32, V4 == V5, V5 == V33; #2768 ), references = 1, size of lhs = 9:
% 16.05/16.23 P_v_r-{F}(V0), P_t_a-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_tc_set-{F}(V1,V4), c_lessequals-{F}(V2,V3,V4), P_v_xa-{F}(V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2853: mergings( V8 == V12, V12 == V20, V2 == V15, V3 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V20, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V4 == V5, V5 == V33; #2769 ), references = 1, size of lhs = 9:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), c_lessequals-{F}(V1,V2,V4), P_v_xa-{F}(V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2870: mergings( V2 == V13, V3 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V4 == V5, V5 == V15; #2857 ), references = 1, size of lhs = 7:
% 16.05/16.23 P_v_r-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_v_xa-{F}(V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2884: mergings( V1 == V11, V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V3 == V4, V4 == V14; #2871 ), references = 1, size of lhs = 6:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_xa-{F}(V3), P_v_cl-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2898: mergings( V1 == V11, V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V3 == V4, V4 == V14; #2885 ), references = 1, size of lhs = 5:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_xa-{F}(V3), P_v_cl-{F}(V4) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2912: mergings( V1 == V11, V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V3 == V4, V4 == V14; #2899 ), references = 1, size of lhs = 4:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_xa-{F}(V3) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2924: mergings( V1 == V9, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #2913 ), references = 1, size of lhs = 3:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2936: mergings( V1 == V9, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #2925 ), references = 1, size of lhs = 2:
% 16.05/16.23 P_v_S-{F}(V0), P_v_A-{F}(V1) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2941: mergings( V1 == V2; #2937 ), references = 1, size of lhs = 1:
% 16.05/16.23 P_v_S-{F}(V0) | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 #2945: exists( #12, #2937 ), references = 1, size of lhs = 0:
% 16.05/16.23 FALSE | FALSE
% 16.05/16.23 (used 0 times, uses = {})
% 16.05/16.23
% 16.05/16.23 number of learnt formulas = 80
% 16.05/16.23
% 16.05/16.23
% 16.05/16.23 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.05/16.23
% 16.05/16.23 randbase = 1
%------------------------------------------------------------------------------