TSTP Solution File: LAT268-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:08:09 EDT 2022
% Result : Unsatisfiable 20.22s 20.38s
% Output : Refutation 20.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34 % Computer : n023.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 20:40:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 20.22/20.38 GeoParameters:
% 20.22/20.38
% 20.22/20.38 tptp_input = 1
% 20.22/20.38 tptp_output = 0
% 20.22/20.38 nonempty = 1
% 20.22/20.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.22/20.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 20.22/20.38
% 20.22/20.38
% 20.22/20.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.22/20.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.22/20.38
% 20.22/20.38 RuleSystem INPUT:
% 20.22/20.38
% 20.22/20.38 Initial Rules:
% 20.22/20.38 #0: input, references = 4, size of lhs = 2:
% 20.22/20.38 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #1: input, references = 4, size of lhs = 7:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), V4 == V5 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #2: input, references = 4, size of lhs = 9:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), V7 == V5 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #3: input, references = 5, size of lhs = 14:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V5) | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #4: input, references = 4, size of lhs = 17:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), V1 == V15 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #5: input, references = 4, size of lhs = 35:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Tarski_Opotype_Opset-{F}(V19,V20,V14,V22), P_tc_set-{F}(V20,V23), P_c_lessequals-{F}(V18,V22,V23,V24), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V20,V14,V25), P_c_in-{F}(V19,V16,V25,V26), P_c_in-{F}(V19,V17,V25,V27), P_c_in-{F}(V21,V18,V20,V28), P_c_Tarski_Olub-{F}(V18,V19,V20,V29), P_c_Pair-{F}(V21,V29,V20,V20,V30), P_c_Tarski_Opotype_Oorder-{F}(V19,V20,V14,V31), P_tc_prod-{F}(V20,V20,V32), P_c_in-{F}(V30,V31,V32,V33), P_ifeq-{F}(V28,V5,V33,V5,V34), P_ifeq-{F}(V27,V5,V34,V5,V35), P_ifeq-{F}(V26,V5,V35,V5,V36), P_ifeq-{F}(V24,V5,V36,V5,V37), V37 == V5 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #6: input, references = 5, size of lhs = 28:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Pair-{F}(V20,V21,V19,V19,V22), P_c_Tarski_Odual-{F}(V18,V19,V23), P_c_Tarski_Opotype_Oorder-{F}(V23,V19,V14,V24), P_tc_prod-{F}(V19,V19,V25), P_c_in-{F}(V22,V24,V25,V26), P_c_Pair-{F}(V21,V20,V19,V19,V27), P_c_Tarski_Opotype_Oorder-{F}(V18,V19,V14,V28), P_c_in-{F}(V27,V28,V25,V29), P_ifeq-{F}(V26,V5,V29,V5,V30), V30 == V5 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #7: input, references = 5, size of lhs = 22:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Tarski_Odual-{F}(V8,V2,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V19), P_c_in-{F}(V18,V16,V19,V20), V20 == V5 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #8: input, references = 5, size of lhs = 23:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Tarski_Odual-{F}(V8,V2,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V19), P_c_in-{F}(V18,V16,V19,V20), P_c_in-{F}(V18,V17,V19,V21), V21 == V5 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #9: input, references = 4, size of lhs = 26:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Tarski_Odual-{F}(V8,V2,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V19), P_c_in-{F}(V18,V16,V19,V20), P_c_in-{F}(V18,V17,V19,V21), P_c_Tarski_Oglb-{F}(V22,V23,V24,V25), P_c_Tarski_Odual-{F}(V23,V24,V26), P_c_Tarski_Olub-{F}(V22,V26,V24,V27), V25 == V27 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #10: input, references = 4, size of lhs = 26:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Tarski_Odual-{F}(V8,V2,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V19), P_c_in-{F}(V18,V16,V19,V20), P_c_in-{F}(V18,V17,V19,V21), P_c_Tarski_Odual-{F}(V22,V23,V24), P_c_Tarski_Opotype_Opset-{F}(V24,V23,V14,V25), P_c_Tarski_Opotype_Opset-{F}(V22,V23,V14,V26), V25 == V26 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #11: input, references = 4, size of lhs = 24:
% 20.22/20.38 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_c_Tarski_Odual-{F}(V8,V2,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V19), P_c_in-{F}(V18,V16,V19,V20), P_c_in-{F}(V18,V17,V19,V21), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V14,V22), V11 == V22 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #12: input, references = 4, size of lhs = 4:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #13: input, references = 5, size of lhs = 3:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_lessequals-{T}(V0,V1,V2,V3)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #14: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #15: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #16: input, references = 5, size of lhs = 1:
% 20.22/20.38 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #17: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #18: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_true-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #19: input, references = 15, size of lhs = 3:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_in-{T}(V0,V1,V2,V3)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #20: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #21: input, references = 10, size of lhs = 4:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #22: input, references = 9, size of lhs = 3:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Oglb-{T}(V0,V1,V2,V3)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #23: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #24: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #25: input, references = 5, size of lhs = 2:
% 20.22/20.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #26: input, references = 8, size of lhs = 3:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #27: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #28: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_c_Tarski_OCompleteLattice-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #29: input, references = 6, size of lhs = 2:
% 20.22/20.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #30: input, references = 4, size of lhs = 0:
% 20.22/20.38 FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #31: input, references = 5, size of lhs = 3:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Olub-{T}(V0,V1,V2,V3)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #32: input, references = 5, size of lhs = 3:
% 20.22/20.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #33: input, references = 6, size of lhs = 2:
% 20.22/20.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Tarski_Odual-{T}(V0,V1,V2)
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 number of initial rules = 34
% 20.22/20.38
% 20.22/20.38 Simplifiers:
% 20.22/20.38 #34: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #35: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_c_lessequals-{F}(V0,V1,V2,V3), P_c_lessequals-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #36: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #37: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #38: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #39: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #40: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #41: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_c_in-{F}(V0,V1,V2,V3), P_c_in-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #42: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #43: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 20.22/20.38 (used 0 times, uses = {})
% 20.22/20.38
% 20.22/20.38 #44: unsound, references = 3, size of lhs = 3:
% 20.22/20.38 P_c_Tarski_Oglb-{F}(V0,V1,V2,V3), P_c_Tarski_Oglb-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #45: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #46: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #47: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #48: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #49: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #50: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_c_Tarski_OCompleteLattice-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), V0 == V1 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #51: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V0,V1,V2), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #52: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #53: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_c_Tarski_Olub-{F}(V0,V1,V2,V3), P_c_Tarski_Olub-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #54: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #55: unsound, references = 3, size of lhs = 3:
% 20.22/20.39 P_c_Tarski_Odual-{F}(V0,V1,V2), P_c_Tarski_Odual-{F}(V0,V1,V5), V2 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 number of simplifiers = 22
% 20.22/20.39
% 20.22/20.39 Learnt:
% 20.22/20.39 #57: exists( #12, #0 ), references = 6, size of lhs = 3:
% 20.22/20.39 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #59: exists( #19, #2 ), references = 3, size of lhs = 7:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6) | P_c_in-{T}(V6,V0,V2,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #62: exists( #19, #4 ), references = 1, size of lhs = 16:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), V1 == V14 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #63: exists( #19, #9 ), references = 1, size of lhs = 25:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_c_Tarski_Odual-{F}(V8,V2,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V13,V18), P_c_in-{F}(V17,V15,V18,V19), P_c_in-{F}(V17,V16,V18,V20), P_c_Tarski_Odual-{F}(V21,V22,V23), P_c_Tarski_Oglb-{F}(V24,V21,V22,V25), P_c_Tarski_Olub-{F}(V24,V23,V22,V26), V25 == V26 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #66: exists( #21, #60 ), references = 3, size of lhs = 15:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), V1 == V13 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #67: exists( #21, #61 ), references = 1, size of lhs = 24:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), P_c_in-{F}(V16,V15,V17,V19), P_c_Tarski_Odual-{F}(V20,V21,V22), P_c_Tarski_Oglb-{F}(V23,V20,V21,V24), P_c_Tarski_Olub-{F}(V23,V22,V21,V25), V24 == V25 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #70: exists( #26, #65 ), references = 1, size of lhs = 23:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_OCompleteLattice-{F}(V13), P_c_Tarski_OPartialOrder-{F}(V14), P_c_Tarski_Odual-{F}(V8,V2,V15), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V16), P_c_in-{F}(V15,V13,V16,V17), P_c_in-{F}(V15,V14,V16,V18), P_c_Tarski_Odual-{F}(V19,V20,V21), P_c_Tarski_Oglb-{F}(V22,V19,V20,V23), P_c_Tarski_Olub-{F}(V22,V21,V20,V24), V23 == V24 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #72: exists( #22, #69 ), references = 2, size of lhs = 22:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V15), P_c_in-{F}(V14,V12,V15,V16), P_c_in-{F}(V14,V13,V15,V17), P_c_Tarski_Odual-{F}(V18,V19,V20), P_c_Tarski_Oglb-{F}(V21,V18,V19,V22), P_c_Tarski_Olub-{F}(V21,V20,V19,V23), V22 == V23 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #76: mergings( V4 == V6; #74 ), references = 3, size of lhs = 20:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V6,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V13), P_c_in-{F}(V12,V10,V13,V14), P_c_in-{F}(V12,V11,V13,V15), P_c_Tarski_Odual-{F}(V16,V17,V18), P_c_Tarski_Oglb-{F}(V19,V16,V17,V20), P_c_Tarski_Olub-{F}(V19,V18,V17,V21), V20 == V21 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #79: mergings( V4 == V9; #77 ), references = 1, size of lhs = 18:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V6,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V13), P_c_in-{F}(V12,V10,V13,V14), P_c_in-{F}(V12,V11,V13,V15), P_c_Tarski_Odual-{F}(V16,V17,V18), P_c_Tarski_Olub-{F}(V19,V18,V17,V20) | P_c_Tarski_Oglb-{T}(V19,V16,V17,V20)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #83: exists( #31, #76 ), references = 2, size of lhs = 18:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V6,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V13), P_c_in-{F}(V12,V10,V13,V14), P_c_in-{F}(V12,V11,V13,V15), P_c_Tarski_Odual-{F}(V16,V17,V18), P_c_Tarski_Oglb-{F}(V19,V16,V17,V20) | P_c_Tarski_Olub-{T}(V19,V18,V17,V20)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #85: exists( #13, #1 ), references = 2, size of lhs = 5:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4) | P_c_lessequals-{T}(V0,V1,V3,V4)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #88: exists( #19, #10 ), references = 1, size of lhs = 25:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_c_Tarski_Odual-{F}(V8,V2,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V13,V18), P_c_in-{F}(V17,V15,V18,V19), P_c_in-{F}(V17,V16,V18,V20), P_c_Tarski_Odual-{F}(V21,V22,V23), P_c_Tarski_Opotype_Opset-{F}(V23,V22,V13,V24), P_c_Tarski_Opotype_Opset-{F}(V21,V22,V13,V25), V24 == V25 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #90: exists( #21, #86 ), references = 2, size of lhs = 24:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), P_c_in-{F}(V16,V15,V17,V19), P_c_Tarski_Odual-{F}(V20,V21,V22), P_c_Tarski_Opotype_Opset-{F}(V22,V21,V12,V23), P_c_Tarski_Opotype_Opset-{F}(V20,V21,V12,V24), V23 == V24 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #93: mergings( V16 == V20; #91 ), references = 4, size of lhs = 20:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_OCompleteLattice-{F}(V13), P_c_Tarski_OPartialOrder-{F}(V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_c_in-{F}(V16,V13,V15,V17), P_c_in-{F}(V16,V14,V15,V18), P_c_Tarski_Opotype_Opset-{F}(V16,V2,V12,V19) | P_c_Tarski_Opotype_Opset-{T}(V8,V2,V12,V19)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #107: mergings( V4 == V11, V5 == V12, V13 == V17, V14 == V18, V6 == V19, V7 == V20, V15 == V21, V23 == V25, V8 == V26, V16 == V27, V24 == V0; #95 ), references = 3, size of lhs = 19:
% 20.22/20.39 P_c_Tarski_OCompleteLattice-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_set-{F}(V4,V5), P_c_lessequals-{F}(V2,V3,V5,V6), P_true-{F}(V7), P_v_x-{F}(V8), P_c_in-{F}(V8,V2,V4,V9), P_v_cl-{F}(V10), P_c_Tarski_Odual-{F}(V10,V4,V11), P_c_Tarski_Oglb-{F}(V2,V10,V4,V12), P_v_r-{F}(V13), P_tc_prod-{F}(V4,V4,V14), P_tc_Product__Type_Ounit-{F}(V15), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V15,V16), P_c_in-{F}(V11,V0,V16,V17), P_c_in-{F}(V11,V1,V16,V18) | P_c_Tarski_Opotype_Opset-{T}(V11,V4,V15,V3)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #111: exists( #19, #11 ), references = 1, size of lhs = 23:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_c_Tarski_Odual-{F}(V8,V2,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V13,V18), P_c_in-{F}(V17,V15,V18,V19), P_c_in-{F}(V17,V16,V18,V20), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V13,V21), V11 == V21 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #112: exists( #19, #6 ), references = 2, size of lhs = 27:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_tc_prod-{F}(V17,V17,V18), P_c_Tarski_Odual-{F}(V19,V17,V20), P_c_Tarski_Opotype_Oorder-{F}(V20,V17,V13,V21), P_c_Tarski_Opotype_Oorder-{F}(V19,V17,V13,V22), P_c_in-{F}(V23,V21,V18,V24), P_c_Pair-{F}(V25,V26,V17,V17,V23), P_c_Pair-{F}(V26,V25,V17,V17,V27), P_c_in-{F}(V27,V22,V18,V28), P_ifeq-{F}(V24,V5,V28,V5,V29), V29 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #113: exists( #19, #5 ), references = 2, size of lhs = 34:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_tc_set-{F}(V17,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V17,V13,V19), P_tc_prod-{F}(V17,V17,V20), P_c_Tarski_Opotype_Opset-{F}(V21,V17,V13,V22), P_c_in-{F}(V21,V15,V19,V23), P_c_in-{F}(V21,V16,V19,V24), P_c_Tarski_Opotype_Oorder-{F}(V21,V17,V13,V25), P_c_lessequals-{F}(V26,V22,V18,V27), P_c_Tarski_Olub-{F}(V26,V21,V17,V28), P_c_in-{F}(V29,V26,V17,V30), P_c_Pair-{F}(V29,V28,V17,V17,V31), P_c_in-{F}(V31,V25,V20,V32), P_ifeq-{F}(V30,V5,V32,V5,V33), P_ifeq-{F}(V24,V5,V33,V5,V34), P_ifeq-{F}(V23,V5,V34,V5,V35), P_ifeq-{F}(V27,V5,V35,V5,V36), V36 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #117: exists( #21, #108 ), references = 1, size of lhs = 22:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), P_c_in-{F}(V16,V15,V17,V19), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V12,V20), V10 == V20 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #118: exists( #21, #109 ), references = 2, size of lhs = 26:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_tc_prod-{F}(V16,V16,V17), P_c_Tarski_Odual-{F}(V18,V16,V19), P_c_Tarski_Opotype_Oorder-{F}(V19,V16,V12,V20), P_c_Tarski_Opotype_Oorder-{F}(V18,V16,V12,V21), P_c_in-{F}(V22,V20,V17,V23), P_c_Pair-{F}(V24,V25,V16,V16,V22), P_c_Pair-{F}(V25,V24,V16,V16,V26), P_c_in-{F}(V26,V21,V17,V27), P_ifeq-{F}(V23,V5,V27,V5,V28), V28 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #119: exists( #21, #110 ), references = 2, size of lhs = 33:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_tc_set-{F}(V16,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V16,V12,V18), P_tc_prod-{F}(V16,V16,V19), P_c_Tarski_Opotype_Opset-{F}(V20,V16,V12,V21), P_c_in-{F}(V20,V14,V18,V22), P_c_in-{F}(V20,V15,V18,V23), P_c_Tarski_Opotype_Oorder-{F}(V20,V16,V12,V24), P_c_lessequals-{F}(V25,V21,V17,V26), P_c_Tarski_Olub-{F}(V25,V20,V16,V27), P_c_in-{F}(V28,V25,V16,V29), P_c_Pair-{F}(V28,V27,V16,V16,V30), P_c_in-{F}(V30,V24,V19,V31), P_ifeq-{F}(V29,V5,V31,V5,V32), P_ifeq-{F}(V23,V5,V32,V5,V33), P_ifeq-{F}(V22,V5,V33,V5,V34), P_ifeq-{F}(V26,V5,V34,V5,V35), V35 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #121: exists( #32, #114 ), references = 1, size of lhs = 20:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), P_c_in-{F}(V16,V15,V17,V19) | P_c_Tarski_Opotype_Oorder-{T}(V8,V2,V12,V10)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #126: exists( #19, #122 ), references = 7, size of lhs = 27:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_tc_set-{F}(V16,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V16,V12,V18), P_tc_prod-{F}(V16,V16,V19), P_c_in-{F}(V20,V14,V18,V5), P_c_in-{F}(V20,V15,V18,V5), P_c_Tarski_Opotype_Opset-{F}(V20,V16,V12,V21), P_c_Tarski_Opotype_Oorder-{F}(V20,V16,V12,V22), P_c_lessequals-{F}(V23,V21,V17,V5), P_c_Tarski_Olub-{F}(V23,V20,V16,V24), P_c_in-{F}(V25,V23,V16,V5), P_c_Pair-{F}(V25,V24,V16,V16,V26) | P_c_in-{T}(V26,V22,V19,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #127: exists( #19, #123 ), references = 1, size of lhs = 28:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_tc_set-{F}(V17,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V17,V13,V19), P_tc_prod-{F}(V17,V17,V20), P_c_in-{F}(V21,V15,V19,V5), P_c_in-{F}(V21,V16,V19,V5), P_c_Tarski_Opotype_Opset-{F}(V21,V17,V13,V22), P_c_Tarski_Opotype_Oorder-{F}(V21,V17,V13,V23), P_c_lessequals-{F}(V24,V22,V18,V5), P_c_Tarski_Olub-{F}(V24,V21,V17,V25), P_c_in-{F}(V26,V24,V17,V5), P_c_Pair-{F}(V26,V25,V17,V17,V27) | P_c_in-{T}(V27,V23,V20,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #129: exists( #26, #90 ), references = 1, size of lhs = 22:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), P_c_in-{F}(V16,V15,V17,V19), P_c_Tarski_Odual-{F}(V20,V21,V22), P_c_Tarski_Opotype_Opset-{F}(V22,V21,V12,V23) | P_c_Tarski_Opotype_Opset-{T}(V20,V21,V12,V23)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #152: mergings( V4 == V20, V5 == V21, V6 == V22, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V11 == V27, V12 == V28, V13 == V29, V14 == V30, V15 == V31, V16 == V32, V17 == V33, V18 == V34, V19 == V35; #133 ), references = 2, size of lhs = 33:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_tc_set-{F}(V16,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V16,V12,V18), P_c_in-{F}(V19,V14,V18,V5), P_c_in-{F}(V19,V15,V18,V5), P_c_Tarski_Opotype_Opset-{F}(V19,V16,V12,V20), P_c_Tarski_Opotype_Oorder-{F}(V19,V16,V12,V21), P_c_lessequals-{F}(V22,V20,V17,V5), P_c_Tarski_Olub-{F}(V22,V19,V16,V23), P_c_in-{F}(V24,V22,V16,V5), P_tc_prod-{F}(V16,V16,V25), P_c_Pair-{F}(V23,V24,V16,V16,V26), P_c_Tarski_Opotype_Oorder-{F}(V27,V16,V12,V21), P_c_Tarski_Odual-{F}(V28,V16,V27), P_c_Tarski_Opotype_Oorder-{F}(V28,V16,V12,V29), P_c_in-{F}(V26,V29,V25,V30), P_ifeq-{F}(V5,V5,V30,V5,V31), V31 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #169: mergings( V4 == V20, V5 == V21, V6 == V22, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V11 == V27, V12 == V28, V13 == V29, V14 == V31, V15 == V32, V16 == V33, V17 == V34, V18 == V35, V19 == V36; #134 ), references = 2, size of lhs = 34:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_tc_set-{F}(V17,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V17,V13,V19), P_c_in-{F}(V20,V15,V19,V5), P_c_in-{F}(V20,V16,V19,V5), P_c_Tarski_Opotype_Opset-{F}(V20,V17,V13,V21), P_c_Tarski_Opotype_Oorder-{F}(V20,V17,V13,V22), P_c_lessequals-{F}(V23,V21,V18,V5), P_c_Tarski_Olub-{F}(V23,V20,V17,V24), P_c_in-{F}(V25,V23,V17,V5), P_tc_prod-{F}(V17,V17,V26), P_c_Pair-{F}(V24,V25,V17,V17,V27), P_c_Tarski_Opotype_Oorder-{F}(V28,V17,V13,V22), P_c_Tarski_Odual-{F}(V29,V17,V28), P_c_Tarski_Opotype_Oorder-{F}(V29,V17,V13,V30), P_c_in-{F}(V27,V30,V26,V31), P_ifeq-{F}(V5,V5,V31,V5,V32), V32 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #186: mergings( V4 == V20, V5 == V21, V6 == V22, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V11 == V27, V12 == V28, V13 == V29, V14 == V31, V15 == V32, V16 == V34, V17 == V35, V18 == V36, V19 == V37; #135 ), references = 2, size of lhs = 35:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_c_in-{F}(V10,V11,V12,V13), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V14,V15), P_c_Tarski_OCompleteLattice-{F}(V16), P_c_Tarski_OPartialOrder-{F}(V17), P_tc_set-{F}(V18,V19), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V18,V14,V20), P_c_in-{F}(V21,V16,V20,V5), P_c_in-{F}(V21,V17,V20,V5), P_c_Tarski_Opotype_Opset-{F}(V21,V18,V14,V22), P_c_Tarski_Opotype_Oorder-{F}(V21,V18,V14,V23), P_c_lessequals-{F}(V24,V22,V19,V5), P_c_Tarski_Olub-{F}(V24,V21,V18,V25), P_c_in-{F}(V26,V24,V18,V5), P_tc_prod-{F}(V18,V18,V27), P_c_Pair-{F}(V25,V26,V18,V18,V28), P_c_Tarski_Opotype_Oorder-{F}(V29,V18,V14,V23), P_c_Tarski_Odual-{F}(V30,V18,V29), P_c_Tarski_Opotype_Oorder-{F}(V30,V18,V14,V31), P_c_in-{F}(V28,V31,V27,V32), P_ifeq-{F}(V5,V5,V32,V5,V33), V33 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #195: exists( #19, #189 ), references = 1, size of lhs = 30:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_tc_set-{F}(V16,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V16,V12,V18), P_c_in-{F}(V19,V14,V18,V5), P_c_in-{F}(V19,V15,V18,V5), P_c_Tarski_Opotype_Opset-{F}(V19,V16,V12,V20), P_c_Tarski_Opotype_Oorder-{F}(V19,V16,V12,V21), P_c_lessequals-{F}(V22,V20,V17,V5), P_c_Tarski_Olub-{F}(V22,V19,V16,V23), P_c_in-{F}(V24,V22,V16,V5), P_tc_prod-{F}(V16,V16,V25), P_c_Pair-{F}(V23,V24,V16,V16,V26), P_c_Tarski_Opotype_Oorder-{F}(V27,V16,V12,V21), P_c_Tarski_Odual-{F}(V28,V16,V27), P_c_Tarski_Opotype_Oorder-{F}(V28,V16,V12,V29) | P_c_in-{T}(V26,V29,V25,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #196: exists( #19, #190 ), references = 1, size of lhs = 31:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_tc_set-{F}(V17,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V17,V13,V19), P_c_in-{F}(V20,V15,V19,V5), P_c_in-{F}(V20,V16,V19,V5), P_c_Tarski_Opotype_Opset-{F}(V20,V17,V13,V21), P_c_Tarski_Opotype_Oorder-{F}(V20,V17,V13,V22), P_c_lessequals-{F}(V23,V21,V18,V5), P_c_Tarski_Olub-{F}(V23,V20,V17,V24), P_c_in-{F}(V25,V23,V17,V5), P_tc_prod-{F}(V17,V17,V26), P_c_Pair-{F}(V24,V25,V17,V17,V27), P_c_Tarski_Opotype_Oorder-{F}(V28,V17,V13,V22), P_c_Tarski_Odual-{F}(V29,V17,V28), P_c_Tarski_Opotype_Oorder-{F}(V29,V17,V13,V30) | P_c_in-{T}(V27,V30,V26,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #197: exists( #19, #191 ), references = 1, size of lhs = 31:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_tc_prod-{F}(V17,V17,V12), P_tc_set-{F}(V17,V18), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V17,V13,V19), P_c_in-{F}(V20,V15,V19,V5), P_c_in-{F}(V20,V16,V19,V5), P_c_Tarski_Opotype_Opset-{F}(V20,V17,V13,V21), P_c_Tarski_Opotype_Oorder-{F}(V20,V17,V13,V22), P_c_lessequals-{F}(V23,V21,V18,V5), P_c_Tarski_Olub-{F}(V23,V20,V17,V24), P_c_in-{F}(V25,V23,V17,V5), P_c_Pair-{F}(V24,V25,V17,V17,V10), P_c_Tarski_Opotype_Oorder-{F}(V26,V17,V13,V11), P_c_Tarski_Odual-{F}(V26,V17,V27), P_c_Tarski_Opotype_Oorder-{F}(V27,V17,V13,V22) | P_c_in-{T}(V10,V11,V12,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #212: mergings( V4 == V19, V5 == V20, V21 == V28, V6 == V2, V7 == V28, V8 == V22, V9 == V1, V10 == V24, V11 == V25, V12 == V0, V13 == V26, V14 == V27; #199 ), references = 1, size of lhs = 27:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V3,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V9,V5,V0,V10), P_c_Tarski_Oglb-{F}(V3,V9,V5,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V5,V5,V13), P_tc_set-{F}(V5,V14), P_c_lessequals-{F}(V3,V4,V14,V15), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V16), P_c_in-{F}(V17,V1,V16,V6), P_c_in-{F}(V17,V2,V16,V6), P_c_Tarski_Opotype_Opset-{F}(V17,V5,V0,V18), P_c_Tarski_Opotype_Oorder-{F}(V17,V5,V0,V19), P_c_lessequals-{F}(V20,V18,V14,V6), P_c_Tarski_Olub-{F}(V20,V17,V5,V11), P_c_in-{F}(V7,V20,V5,V6), P_c_Tarski_Opotype_Oorder-{F}(V21,V5,V0,V12), P_c_Tarski_Odual-{F}(V21,V5,V22), P_c_Tarski_Opotype_Oorder-{F}(V22,V5,V0,V19) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #226: mergings( V4 == V18, V5 == V19, V20 == V29, V6 == V1, V7 == V29, V8 == V21, V9 == V23, V10 == V24, V11 == V25, V12 == V26, V13 == V27, V14 == V28; #213 ), references = 1, size of lhs = 25:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V3,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V9,V5,V0,V10), P_c_Tarski_Oglb-{F}(V3,V9,V5,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V5,V5,V13), P_tc_set-{F}(V5,V14), P_c_lessequals-{F}(V3,V4,V14,V15), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V16), P_c_in-{F}(V7,V17,V5,V6), P_c_Tarski_Opotype_Oorder-{F}(V18,V5,V0,V12), P_c_Tarski_Odual-{F}(V18,V5,V19), P_c_in-{F}(V19,V1,V16,V6), P_c_in-{F}(V19,V2,V16,V6), P_c_Tarski_Olub-{F}(V17,V19,V5,V11), P_c_Tarski_Opotype_Opset-{F}(V19,V5,V0,V20), P_c_lessequals-{F}(V17,V20,V14,V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #306: mergings( V4 == V0, V5 == V20, V20 == V26, V26 == V30, V30 == V36, V36 == V41, V41 == V47, V48 == V52, V49 == V53, V52 == V61, V53 == V62, V61 == V68, V62 == V69, V68 == V72, V69 == V73, V72 == V80, V73 == V81, V80 == V87, V81 == V82, V6 == V2, V7 == V87, V8 == V21, V21 == V27, V27 == V31, V31 == V37, V37 == V82, V82 == V84, V9 == V22, V22 == V28, V50 == V54, V28 == V32, V54 == V63, V32 == V38, V63 == V74, V38 == V42, V70 == V74, V42 == V83, V74 == V84, V10 == V1, V11 == V23, V23 == V29, V29 == V33, V33 == V43, V43 == V85, V12 == V51, V51 == V57, V57 == V64, V64 == V71, V71 == V75, V75 == V86, V13 == V44, V14 == V24, V24 == V34, V34 == V39, V39 == V45, V17 == V58, V58 == V65, V65 == V77, V77 == V88, V66 == V84, V15 == V25, V25 == V35, V35 == V40, V40 == V46, V67 == V84, V16 == V55, V18 == V59, V19 == V60, V55 == V56, V59 == V84, V60 == V84, V56 == V76, V78 == V84, V79 == V84; #231 ), references = 3, size of lhs = 18:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V3,V5,V6), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V5,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V5,V5,V11), P_tc_set-{F}(V5,V12), P_c_lessequals-{F}(V3,V4,V12,V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V13), P_c_in-{F}(V9,V1,V13,V6), P_c_in-{F}(V9,V2,V13,V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #325: mergings( V4 == V19, V5 == V20, V21 == V28, V6 == V2, V7 == V28, V8 == V22, V9 == V1, V10 == V24, V11 == V25, V12 == V0, V13 == V26, V14 == V27; #310 ), references = 1, size of lhs = 24:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V3,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V9,V5,V0,V10), P_c_Tarski_Oglb-{F}(V3,V9,V5,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V5,V5,V13), P_tc_set-{F}(V5,V14), P_c_lessequals-{F}(V3,V4,V14,V15), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V16), P_c_in-{F}(V17,V1,V16,V6), P_c_in-{F}(V17,V2,V16,V6), P_c_Tarski_Opotype_Oorder-{F}(V17,V5,V0,V12), P_c_Tarski_Opotype_Opset-{F}(V17,V5,V0,V18), P_c_lessequals-{F}(V19,V18,V14,V6), P_c_Tarski_Olub-{F}(V19,V17,V5,V7), P_c_in-{F}(V11,V19,V5,V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #344: mergings( V4 == V20, V5 == V21, V22 == V29, V6 == V2, V7 == V29, V8 == V23, V9 == V24, V10 == V1, V11 == V25, V12 == V26, V13 == V0, V14 == V27, V15 == V28, V16 == V34, V17 == V35, V18 == V36, V30 == V39, V19 == V37; #311 ), references = 1, size of lhs = 27:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_true-{F}(V3), P_v_x-{F}(V4), P_c_in-{F}(V4,V0,V2,V5), P_v_cl-{F}(V6), P_c_Tarski_Oglb-{F}(V0,V6,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_set-{F}(V2,V10), P_c_lessequals-{F}(V0,V1,V10,V11), P_c_in-{F}(V7,V12,V2,V3), P_c_Tarski_Olub-{F}(V12,V13,V2,V4), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V13,V2,V14,V8), P_c_Tarski_Opotype_Opset-{F}(V13,V2,V14,V15), P_c_lessequals-{F}(V12,V15,V10,V3), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V14,V16), P_c_Tarski_OCompleteLattice-{F}(V17), P_c_Tarski_OPartialOrder-{F}(V18), P_c_Tarski_Odual-{F}(V6,V2,V19), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V20), P_c_in-{F}(V13,V17,V20,V3), P_c_in-{F}(V13,V18,V20,V3), P_c_in-{F}(V19,V17,V20,V21), V21 == V3 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #363: mergings( V4 == V20, V5 == V21, V22 == V29, V6 == V2, V7 == V29, V8 == V23, V9 == V24, V10 == V1, V11 == V25, V12 == V26, V13 == V0, V14 == V27, V15 == V28, V16 == V34, V17 == V35, V18 == V36, V30 == V39, V19 == V37; #312 ), references = 1, size of lhs = 28:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_true-{F}(V3), P_v_x-{F}(V4), P_c_in-{F}(V4,V0,V2,V5), P_v_cl-{F}(V6), P_c_Tarski_Oglb-{F}(V0,V6,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_set-{F}(V2,V10), P_c_lessequals-{F}(V0,V1,V10,V11), P_c_in-{F}(V7,V12,V2,V3), P_c_Tarski_Olub-{F}(V12,V13,V2,V4), P_tc_Product__Type_Ounit-{F}(V14), P_c_Tarski_Opotype_Oorder-{F}(V13,V2,V14,V8), P_c_Tarski_Opotype_Opset-{F}(V13,V2,V14,V15), P_c_lessequals-{F}(V12,V15,V10,V3), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V14,V16), P_c_Tarski_OCompleteLattice-{F}(V17), P_c_Tarski_OPartialOrder-{F}(V18), P_c_Tarski_Odual-{F}(V6,V2,V19), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V14,V20), P_c_in-{F}(V13,V17,V20,V3), P_c_in-{F}(V13,V18,V20,V3), P_c_in-{F}(V19,V17,V20,V21), P_c_in-{F}(V19,V18,V20,V22), V22 == V3 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #366: exists( #19, #7 ), references = 1, size of lhs = 21:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_c_Tarski_Odual-{F}(V8,V2,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V13,V18), P_c_in-{F}(V17,V15,V18,V19), V19 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #367: exists( #19, #8 ), references = 1, size of lhs = 22:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_c_Pair-{F}(V9,V6,V2,V2,V10), P_v_r-{F}(V11), P_tc_prod-{F}(V2,V2,V12), P_tc_Product__Type_Ounit-{F}(V13), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V13,V14), P_c_Tarski_OCompleteLattice-{F}(V15), P_c_Tarski_OPartialOrder-{F}(V16), P_c_Tarski_Odual-{F}(V8,V2,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V13,V18), P_c_in-{F}(V17,V15,V18,V19), P_c_in-{F}(V17,V16,V18,V20), V20 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #370: exists( #21, #364 ), references = 2, size of lhs = 20:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), V18 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #371: exists( #21, #365 ), references = 1, size of lhs = 21:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Opotype_Opset-{F}(V8,V2,V12,V13), P_c_Tarski_OCompleteLattice-{F}(V14), P_c_Tarski_OPartialOrder-{F}(V15), P_c_Tarski_Odual-{F}(V8,V2,V16), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V12,V17), P_c_in-{F}(V16,V14,V17,V18), P_c_in-{F}(V16,V15,V17,V19), V19 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #404: mergings( V6 == V10, V10 == V16, V17 == V22, V18 == V23, V22 == V26, V23 == V27, V7 == V11, V11 == V28, V8 == V12, V19 == V24, V12 == V29, V24 == V30, V9 == V13, V13 == V31, V21 == V25, V25 == V32, V4 == V14, V14 == V40, V34 == V37, V35 == V38, V37 == V43, V5 == V15, V36 == V39, V15 == V41, V20 == V42, V38 == V44; #376 ), references = 1, size of lhs = 19:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V15), P_c_in-{F}(V14,V13,V15,V16), P_c_in-{F}(V14,V12,V15,V17), V17 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #432: mergings( V6 == V10, V10 == V16, V17 == V22, V18 == V23, V22 == V26, V23 == V27, V7 == V11, V11 == V28, V8 == V12, V19 == V24, V12 == V29, V24 == V30, V9 == V13, V13 == V31, V21 == V25, V25 == V32, V4 == V14, V14 == V40, V34 == V37, V35 == V38, V37 == V43, V5 == V15, V36 == V39, V15 == V41, V20 == V42, V38 == V44, V39 == V45; #377 ), references = 2, size of lhs = 19:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V15), P_c_in-{F}(V14,V12,V15,V16), P_c_in-{F}(V14,V13,V15,V17), V17 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #451: mergings( V4 == V8, V8 == V13, V15 == V19, V16 == V20, V19 == V23, V20 == V24, V5 == V9, V9 == V25, V6 == V10, V17 == V21, V10 == V26, V21 == V27, V7 == V11, V11 == V29, V18 == V22, V22 == V30; #434 ), references = 1, size of lhs = 16:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V8,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V14) | P_c_in-{T}(V13,V12,V14,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #469: mergings( V4 == V8, V8 == V13, V15 == V19, V16 == V20, V19 == V23, V20 == V24, V5 == V9, V9 == V25, V6 == V10, V17 == V21, V10 == V26, V21 == V27, V7 == V11, V11 == V29, V18 == V22, V22 == V30, V1 == V32; #433 ), references = 1, size of lhs = 16:
% 20.22/20.39 P_c_Tarski_OCompleteLattice-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_c_lessequals-{F}(V1,V2,V4,V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V1,V3,V8), P_v_cl-{F}(V9), P_v_r-{F}(V10), P_tc_prod-{F}(V3,V3,V11), P_tc_Product__Type_Ounit-{F}(V12), P_c_Tarski_Odual-{F}(V9,V3,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V3,V12,V14) | P_c_in-{T}(V13,V0,V14,V6)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #497: mergings( V11 == V31, V3 == V7, V7 == V12, V12 == V32, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V37, V22 == V33, V4 == V8, V8 == V33, V5 == V9, V15 == V19, V9 == V23, V19 == V24, V23 == V34, V24 == V33, V6 == V10, V10 == V25, V25 == V35, V16 == V20, V20 == V26, V26 == V36, V27 == V29; #471 ), references = 1, size of lhs = 15:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V2,V4,V6), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V4,V4,V10), P_tc_set-{F}(V4,V11), P_c_lessequals-{F}(V2,V3,V11,V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #523: mergings( V11 == V16, V3 == V7, V7 == V12, V12 == V17, V18 == V22, V19 == V23, V22 == V26, V23 == V27, V26 == V35, V27 == V30, V4 == V8, V8 == V30, V5 == V9, V20 == V24, V9 == V13, V24 == V28, V13 == V31, V28 == V30, V6 == V10, V10 == V14, V14 == V33, V21 == V25, V25 == V29, V29 == V34; #498 ), references = 1, size of lhs = 14:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V2,V4,V5), P_v_cl-{F}(V7), P_v_r-{F}(V8), P_tc_prod-{F}(V4,V4,V9), P_tc_set-{F}(V4,V10), P_c_lessequals-{F}(V2,V3,V10,V5) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #546: mergings( V10 == V16, V2 == V6, V6 == V11, V11 == V17, V18 == V21, V19 == V22, V21 == V24, V22 == V25, V24 == V31, V25 == V27, V3 == V7, V7 == V27, V4 == V8, V20 == V23, V8 == V12, V23 == V26, V12 == V28, V26 == V27, V5 == V9, V9 == V13, V13 == V30; #524 ), references = 1, size of lhs = 13:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V2,V4,V5), P_v_cl-{F}(V7), P_v_r-{F}(V8), P_tc_set-{F}(V4,V9), P_c_lessequals-{F}(V2,V3,V9,V5) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #555: mergings( V2 == V4, V4 == V11, V3 == V5, V5 == V6, V6 == V14; #549 ), references = 1, size of lhs = 10:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_true-{F}(V5), P_v_x-{F}(V6), P_v_cl-{F}(V7), P_v_r-{F}(V8) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #557: exists( #26, #66 ), references = 2, size of lhs = 13:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_c_Tarski_Oglb-{F}(V0,V8,V2,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V2,V2,V11), P_tc_Product__Type_Ounit-{F}(V12) | P_c_Tarski_Opotype_Opset-{T}(V8,V2,V12,V1)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #560: exists( #19, #76 ), references = 2, size of lhs = 19:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V6,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V13), P_c_in-{F}(V12,V10,V13,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Oglb-{F}(V18,V15,V16,V19), P_c_Tarski_Olub-{F}(V18,V17,V16,V20), V19 == V20 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #561: exists( #19, #72 ), references = 2, size of lhs = 21:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V15), P_c_in-{F}(V14,V12,V15,V16), P_c_Tarski_Odual-{F}(V17,V18,V19), P_c_Tarski_Oglb-{F}(V20,V17,V18,V21), P_c_Tarski_Olub-{F}(V20,V19,V18,V22), V21 == V22 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #564: exists( #19, #560 ), references = 1, size of lhs = 18:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V6,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Oglb-{F}(V17,V14,V15,V18), P_c_Tarski_Olub-{F}(V17,V16,V15,V19), V18 == V19 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #565: exists( #19, #561 ), references = 1, size of lhs = 20:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V15), P_c_Tarski_Odual-{F}(V16,V17,V18), P_c_Tarski_Oglb-{F}(V19,V16,V17,V20), P_c_Tarski_Olub-{F}(V19,V18,V17,V21), V20 == V21 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #568: exists( #33, #562 ), references = 2, size of lhs = 17:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Oglb-{F}(V16,V13,V14,V17), P_c_Tarski_Olub-{F}(V16,V15,V14,V18), V17 == V18 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #569: exists( #33, #563 ), references = 1, size of lhs = 19:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Oglb-{F}(V18,V15,V16,V19), P_c_Tarski_Olub-{F}(V18,V17,V16,V20), V19 == V20 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #572: exists( #29, #566 ), references = 2, size of lhs = 16:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V12,V13,V14), P_c_Tarski_Oglb-{F}(V15,V12,V13,V16), P_c_Tarski_Olub-{F}(V15,V14,V13,V17), V16 == V17 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #573: exists( #29, #567 ), references = 2, size of lhs = 18:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Oglb-{F}(V17,V14,V15,V18), P_c_Tarski_Olub-{F}(V17,V16,V15,V19), V18 == V19 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #576: exists( #31, #570 ), references = 2, size of lhs = 14:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V12,V13,V14), P_c_Tarski_Oglb-{F}(V15,V12,V13,V16) | P_c_Tarski_Olub-{T}(V15,V14,V13,V16)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #577: exists( #31, #571 ), references = 1, size of lhs = 16:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Oglb-{F}(V17,V14,V15,V18) | P_c_Tarski_Olub-{T}(V17,V16,V15,V18)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #581: exists( #22, #572 ), references = 2, size of lhs = 14:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V12,V13,V14), P_c_Tarski_Olub-{F}(V15,V14,V13,V16) | P_c_Tarski_Oglb-{T}(V15,V12,V13,V16)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #582: exists( #22, #573 ), references = 1, size of lhs = 16:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Olub-{F}(V17,V16,V15,V18) | P_c_Tarski_Oglb-{T}(V17,V14,V15,V18)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #583: exists( #22, #568 ), references = 1, size of lhs = 15:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Olub-{F}(V16,V15,V14,V17) | P_c_Tarski_Oglb-{T}(V16,V13,V14,V17)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #621: mergings( V4 == V16, V16 == V0, V5 == V17, V17 == V28, V28 == V32, V33 == V37, V34 == V38, V6 == V18, V7 == V19, V18 == V2, V19 == V37, V8 == V20, V20 == V29, V29 == V39, V9 == V21, V21 == V30, V30 == V40, V35 == V41, V10 == V22, V22 == V42, V11 == V23, V23 == V31, V31 == V44, V12 == V24, V24 == V36, V36 == V45, V13 == V25, V25 == V46, V14 == V26, V26 == V47, V15 == V27, V27 == V48, V43 == V49; #587 ), references = 1, size of lhs = 19:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_c_Tarski_Odual-{F}(V15,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V16), P_c_in-{F}(V14,V12,V16,V17), V17 == V5 | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #656: mergings( V4 == V16, V16 == V32, V5 == V17, V17 == V28, V28 == V33, V35 == V39, V36 == V40, V6 == V18, V7 == V19, V18 == V34, V19 == V39, V8 == V20, V20 == V29, V29 == V41, V9 == V21, V21 == V30, V30 == V42, V37 == V43, V10 == V22, V22 == V44, V11 == V23, V23 == V31, V31 == V47, V12 == V24, V24 == V38, V38 == V48, V13 == V25, V25 == V49, V14 == V26, V26 == V1, V15 == V27, V27 == V50, V45 == V0; #622 ), references = 1, size of lhs = 17:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_c_Tarski_Odual-{F}(V15,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V16) | P_c_in-{T}(V14,V12,V16,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #660: exists( #19, #432 ), references = 1, size of lhs = 17:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_lessequals-{F}(V0,V1,V3,V4), P_true-{F}(V5), P_v_x-{F}(V6), P_c_in-{F}(V6,V0,V2,V7), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V2,V2,V10), P_tc_Product__Type_Ounit-{F}(V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V8,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V11,V15), P_c_in-{F}(V14,V12,V15,V16) | P_c_in-{T}(V14,V13,V15,V5)
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #715: mergings( V3 == V15, V15 == V31, V31 == V46, V46 == V58, V4 == V16, V16 == V27, V27 == V32, V32 == V47, V47 == V59, V33 == V37, V34 == V38, V37 == V48, V38 == V49, V48 == V64, V49 == V60, V5 == V17, V6 == V18, V17 == V1, V18 == V64, V7 == V19, V19 == V28, V28 == V60, V8 == V20, V20 == V29, V29 == V39, V35 == V40, V39 == V50, V40 == V51, V50 == V61, V51 == V60, V9 == V21, V21 == V0, V10 == V22, V22 == V30, V30 == V41, V41 == V52, V52 == V62, V11 == V23, V23 == V36, V36 == V42, V42 == V53, V53 == V63, V12 == V24, V24 == V43, V43 == V54, V54 == V55, V13 == V25, V25 == V56, V14 == V26, V26 == V44, V44 == V57; #663 ), references = 1, size of lhs = 15:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V6), P_true-{F}(V7), P_v_x-{F}(V8), P_c_in-{F}(V8,V3,V5,V7), P_v_cl-{F}(V9), P_v_r-{F}(V10), P_tc_prod-{F}(V5,V5,V11), P_tc_set-{F}(V5,V12), P_c_lessequals-{F}(V3,V4,V12,V7) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #766: mergings( V3 == V15, V15 == V31, V31 == V36, V36 == V42, V4 == V16, V16 == V27, V27 == V32, V32 == V37, V37 == V43, V44 == V48, V45 == V49, V48 == V52, V49 == V53, V52 == V61, V53 == V56, V5 == V17, V6 == V18, V17 == V0, V18 == V61, V7 == V19, V19 == V28, V28 == V56, V8 == V20, V20 == V29, V29 == V33, V46 == V50, V33 == V38, V50 == V54, V38 == V57, V54 == V56, V9 == V21, V21 == V58, V10 == V22, V22 == V30, V30 == V34, V34 == V39, V39 == V59, V11 == V23, V23 == V47, V47 == V51, V51 == V55, V55 == V60, V12 == V24, V24 == V1, V13 == V25, V25 == V40, V14 == V26, V26 == V35, V35 == V41; #716 ), references = 1, size of lhs = 14:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V3,V5,V6), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_prod-{F}(V5,V5,V10), P_tc_set-{F}(V5,V11), P_c_lessequals-{F}(V3,V4,V11,V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #810: mergings( V2 == V12, V12 == V26, V26 == V31, V31 == V38, V3 == V13, V13 == V22, V22 == V27, V27 == V32, V32 == V39, V4 == V14, V14 == V40, V40 == V43, V41 == V44, V43 == V46, V44 == V47, V46 == V53, V47 == V49, V5 == V15, V15 == V23, V23 == V49, V6 == V16, V16 == V24, V24 == V28, V42 == V45, V28 == V33, V45 == V48, V33 == V50, V48 == V49, V7 == V17, V17 == V51, V8 == V18, V18 == V25, V25 == V29, V29 == V34, V34 == V52, V9 == V19, V19 == V35, V10 == V20, V20 == V36, V11 == V21, V21 == V30, V30 == V37; #767 ), references = 1, size of lhs = 13:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_c_in-{F}(V7,V3,V5,V6), P_v_cl-{F}(V8), P_v_r-{F}(V9), P_tc_set-{F}(V5,V10), P_c_lessequals-{F}(V3,V4,V10,V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #837: mergings( V2 == V11, V11 == V28, V3 == V12, V12 == V29, V4 == V13, V13 == V20, V20 == V30, V5 == V14, V14 == V31, V6 == V15, V15 == V32, V7 == V16, V16 == V21, V21 == V22, V22 == V24, V24 == V33, V8 == V17, V17 == V25, V9 == V18, V18 == V26, V10 == V19, V19 == V23, V23 == V27; #813 ), references = 1, size of lhs = 10:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_true-{F}(V6), P_v_x-{F}(V7), P_v_cl-{F}(V8), P_v_r-{F}(V9) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #859: mergings( V1 == V9, V9 == V23, V2 == V10, V10 == V24, V3 == V11, V11 == V17, V17 == V26, V4 == V12, V12 == V27, V5 == V13, V13 == V28, V6 == V14, V14 == V18, V18 == V19, V19 == V20, V20 == V29, V7 == V15, V15 == V21, V8 == V16, V16 == V22; #838 ), references = 1, size of lhs = 9:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_true-{F}(V5), P_v_x-{F}(V6), P_v_cl-{F}(V7), P_v_r-{F}(V8) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #879: mergings( V1 == V8, V8 == V20, V2 == V9, V9 == V21, V3 == V10, V10 == V15, V15 == V23, V4 == V11, V11 == V24, V5 == V12, V12 == V25, V6 == V13, V13 == V16, V16 == V17, V17 == V18, V18 == V26, V7 == V14, V14 == V19; #860 ), references = 1, size of lhs = 8:
% 20.22/20.39 P_tc_Product__Type_Ounit-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_true-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #897: mergings( V1 == V7, V7 == V17, V2 == V8, V8 == V18, V3 == V9, V9 == V13, V13 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V23; #880 ), references = 1, size of lhs = 7:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_true-{F}(V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #910: mergings( V1 == V6, V6 == V12, V2 == V7, V7 == V13, V3 == V8, V8 == V11, V11 == V15, V4 == V9, V9 == V16, V5 == V10, V10 == V17; #898 ), references = 1, size of lhs = 6:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_true-{F}(V3), P_v_x-{F}(V4), P_v_cl-{F}(V5) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #921: mergings( V1 == V5, V5 == V10, V2 == V6, V6 == V11, V3 == V7, V7 == V9, V9 == V13, V4 == V8, V8 == V14; #911 ), references = 1, size of lhs = 5:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_true-{F}(V3), P_v_x-{F}(V4) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #930: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V7, V7 == V11; #922 ), references = 1, size of lhs = 4:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_true-{F}(V3) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #936: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #931 ), references = 1, size of lhs = 3:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #942: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #937 ), references = 1, size of lhs = 2:
% 20.22/20.39 P_v_S-{F}(V0), P_v_A-{F}(V1) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #946: mergings( V1 == V2, V2 == V3; #943 ), references = 1, size of lhs = 1:
% 20.22/20.39 P_v_S-{F}(V0) | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 #948: exists( #14, #943 ), references = 1, size of lhs = 0:
% 20.22/20.39 FALSE | FALSE
% 20.22/20.39 (used 0 times, uses = {})
% 20.22/20.39
% 20.22/20.39 number of learnt formulas = 81
% 20.22/20.39
% 20.22/20.39
% 20.22/20.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.22/20.39
% 20.22/20.39 randbase = 1
%------------------------------------------------------------------------------