TSTP Solution File: LAT269-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:08:10 EDT 2022
% Result : Unsatisfiable 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 20:50:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.64 GeoParameters:
% 0.46/0.64
% 0.46/0.64 tptp_input = 1
% 0.46/0.64 tptp_output = 0
% 0.46/0.64 nonempty = 1
% 0.46/0.64 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.46/0.64
% 0.46/0.64
% 0.46/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64
% 0.46/0.64 RuleSystem INPUT:
% 0.46/0.64
% 0.46/0.64 Initial Rules:
% 0.46/0.64 #0: input, references = 5, size of lhs = 10:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V3,V4,V2,V5,V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V8), c_in-{F}(V6,V7,V8) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #1: input, references = 6, size of lhs = 12:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V3,V4,V2,V5,V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_OTop-{F}(V9,V2,V10), P_v_A-{F}(V11) | c_in-{T}(V10,V11,V2)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #2: input, references = 5, size of lhs = 19:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V3,V4,V2,V5,V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_OTop-{F}(V9,V2,V10), P_v_A-{F}(V11), P_c_emptyset-{F}(V12), c_in-{F}(V13,V11,V2), P_c_Tarski_Ointerval-{F}(V1,V13,V14,V2,V15), P_c_Tarski_Oinduced-{F}(V15,V1,V2,V16), P_c_Tarski_Opotype_Opotype__ext-{F}(V15,V16,V4,V2,V5,V17), c_in-{F}(V14,V11,V2), V15 == V12 | c_in-{T}(V17,V7,V8)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #3: input, references = 4, size of lhs = 17:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V3,V4,V2,V5,V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_OTop-{F}(V9,V2,V10), P_v_A-{F}(V11), P_c_emptyset-{F}(V12), P_v_Y-{F}(V13), P_c_Tarski_Olub-{F}(V13,V9,V2,V14), P_c_Tarski_Ointerval-{F}(V1,V14,V10,V2,V15), V0 == V15 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #4: input, references = 5, size of lhs = 16:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V3,V4,V2,V5,V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_OTop-{F}(V9,V2,V10), P_v_A-{F}(V11), P_c_emptyset-{F}(V12), P_v_Y-{F}(V13), P_c_Tarski_Olub-{F}(V13,V9,V2,V14), P_c_Tarski_Ointerval-{F}(V1,V14,V10,V2,V15) | c_in-{T}(V14,V11,V2)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #5: input, references = 5, size of lhs = 18:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V3,V4,V2,V5,V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V8), P_v_cl-{F}(V9), P_c_Tarski_OTop-{F}(V9,V2,V10), P_v_A-{F}(V11), P_c_emptyset-{F}(V12), P_v_Y-{F}(V13), P_c_Tarski_Olub-{F}(V13,V9,V2,V14), P_c_Tarski_Ointerval-{F}(V1,V14,V10,V2,V15), P_c_Tarski_Ointerval-{F}(V1,V16,V10,V2,V12), c_in-{F}(V16,V11,V2) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #6: input, references = 8, size of lhs = 5:
% 0.46/0.64 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_c_Tarski_Opotype_Opotype__ext-{T}(V0,V1,V2,V3,V4,V5)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #7: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_v_intY1-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #8: input, references = 5, size of lhs = 3:
% 0.46/0.64 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Oinduced-{T}(V0,V1,V2,V3)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #9: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #10: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #11: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_c_Product__Type_OUnity-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #12: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #13: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_c_Tarski_OCompleteLattice-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #14: input, references = 5, size of lhs = 2:
% 0.46/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #15: input, references = 5, size of lhs = 2:
% 0.46/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Tarski_OTop-{T}(V0,V1,V2)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #16: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #17: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #18: input, references = 4, size of lhs = 4:
% 0.46/0.64 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Tarski_Ointerval-{T}(V0,V1,V2,V3,V4)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #19: input, references = 4, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #20: input, references = 5, size of lhs = 3:
% 0.46/0.64 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Olub-{T}(V0,V1,V2,V3)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #21: input, references = 5, size of lhs = 0:
% 0.46/0.64 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 number of initial rules = 22
% 0.46/0.64
% 0.46/0.64 Simplifiers:
% 0.46/0.64 #22: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V1,V2,V3,V4,V5), P_c_Tarski_Opotype_Opotype__ext-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #23: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_intY1-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #24: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #25: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #26: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #27: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Product__Type_OUnity-{F}(V0), P_c_Product__Type_OUnity-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #28: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #29: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Tarski_OCompleteLattice-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #30: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 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
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #31: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Tarski_OTop-{F}(V0,V1,V2), P_c_Tarski_OTop-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #32: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #33: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #34: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Tarski_Ointerval-{F}(V0,V1,V2,V3,V4), P_c_Tarski_Ointerval-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #35: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #36: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_c_Tarski_Olub-{F}(V0,V1,V2,V3), P_c_Tarski_Olub-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #37: unsound, references = 3, size of lhs = 3:
% 0.46/0.64 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 number of simplifiers = 16
% 0.46/0.64
% 0.46/0.64 Learnt:
% 0.46/0.64 #39: exists( #6, #3 ), references = 1, size of lhs = 16:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V7), P_v_cl-{F}(V8), P_c_Tarski_OTop-{F}(V8,V2,V9), P_v_A-{F}(V10), P_c_emptyset-{F}(V11), P_v_Y-{F}(V12), P_c_Tarski_Olub-{F}(V12,V8,V2,V13), P_c_Tarski_Ointerval-{F}(V1,V13,V9,V2,V14), V0 == V14 | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #41: exists( #18, #38 ), references = 3, size of lhs = 14:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V7), P_v_cl-{F}(V8), P_c_Tarski_OTop-{F}(V8,V2,V9), P_v_A-{F}(V10), P_c_emptyset-{F}(V11), P_v_Y-{F}(V12), P_c_Tarski_Olub-{F}(V12,V8,V2,V13) | P_c_Tarski_Ointerval-{T}(V1,V13,V9,V2,V0)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #52: mergings( V6 == V9, V9 == V17, V7 == V18, V10 == V12, V8 == V13, V11 == V14; #45 ), references = 1, size of lhs = 14:
% 0.46/0.64 P_v_cl-{F}(V0), P_v_A-{F}(V1), P_c_emptyset-{F}(V2), P_v_intY1-{F}(V3), V3 == V2, P_v_r-{F}(V4), P_t_a-{F}(V5), P_c_Tarski_Oinduced-{F}(V3,V4,V5,V6), P_c_Tarski_OTop-{F}(V0,V5,V7), P_c_Tarski_Ointerval-{F}(V4,V7,V7,V5,V3), P_c_Product__Type_OUnity-{F}(V8), P_tc_Product__Type_Ounit-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #62: mergings( V6 == V9, V7 == V12, V10 == V13, V8 == V14, V11 == V15; #56 ), references = 1, size of lhs = 16:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V7), P_v_cl-{F}(V8), P_c_Tarski_OTop-{F}(V8,V2,V9), P_v_A-{F}(V10), P_c_emptyset-{F}(V11), P_c_Tarski_Ointerval-{F}(V1,V9,V9,V2,V11), P_v_Y-{F}(V12), P_c_Tarski_Olub-{F}(V12,V8,V2,V13), P_c_Tarski_Ointerval-{F}(V1,V13,V9,V2,V14) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #80: mergings( V6 == V9, V9 == V14, V14 == V26, V7 == V10, V10 == V27, V15 == V17, V17 == V21, V8 == V11, V16 == V18, V11 == V22, V18 == V23, V0 == V20, V12 == V25; #66 ), references = 1, size of lhs = 16:
% 0.46/0.64 P_v_Y-{F}(V0), P_v_cl-{F}(V1), P_v_A-{F}(V2), P_c_emptyset-{F}(V3), P_v_intY1-{F}(V4), V4 == V3, P_v_r-{F}(V5), P_t_a-{F}(V6), P_c_Tarski_Oinduced-{F}(V4,V5,V6,V7), P_c_Tarski_Olub-{F}(V0,V1,V6,V8), P_c_Tarski_OTop-{F}(V1,V6,V9), P_c_Tarski_Ointerval-{F}(V5,V8,V9,V6,V4), P_c_Product__Type_OUnity-{F}(V10), P_tc_Product__Type_Ounit-{F}(V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V6,V11,V12), P_c_Tarski_OCompleteLattice-{F}(V13) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #100: mergings( V20 == V23, V9 == V14, V14 == V19, V4 == V25, V5 == V26, V6 == V10, V10 == V12, V12 == V30, V21 == V27, V27 == V28, V28 == V29, V11 == V1, V1 == V15, V22 == V24, V7 == V16, V8 == V13, V13 == V17; #82 ), references = 1, size of lhs = 14:
% 0.46/0.64 P_v_Y-{F}(V0), P_v_cl-{F}(V1), P_v_A-{F}(V2), P_c_emptyset-{F}(V3), P_v_intY1-{F}(V4), V4 == V3, P_v_r-{F}(V5), P_t_a-{F}(V6), P_c_Tarski_Oinduced-{F}(V4,V5,V6,V7), P_c_Tarski_OTop-{F}(V1,V6,V8), P_c_Product__Type_OUnity-{F}(V9), P_tc_Product__Type_Ounit-{F}(V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V6,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #116: mergings( V4 == V21, V5 == V22, V6 == V9, V9 == V11, V11 == V26, V18 == V23, V23 == V24, V24 == V25, V10 == V12, V12 == V15, V19 == V20, V7 == V16, V8 == V13, V13 == V17; #101 ), references = 1, size of lhs = 13:
% 0.46/0.64 P_v_Y-{F}(V0), P_v_cl-{F}(V1), P_v_A-{F}(V2), P_c_emptyset-{F}(V3), P_v_intY1-{F}(V4), V4 == V3, P_v_r-{F}(V5), P_t_a-{F}(V6), P_c_Tarski_OTop-{F}(V1,V6,V7), P_c_Product__Type_OUnity-{F}(V8), P_tc_Product__Type_Ounit-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V6,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #128: mergings( V3 == V20, V4 == V7, V7 == V9, V9 == V21, V8 == V10, V10 == V13, V18 == V19, V5 == V14, V6 == V11, V11 == V15; #117 ), references = 1, size of lhs = 12:
% 0.46/0.64 P_v_Y-{F}(V0), P_v_cl-{F}(V1), P_v_A-{F}(V2), P_c_emptyset-{F}(V3), P_v_intY1-{F}(V4), V4 == V3, P_v_r-{F}(V5), P_t_a-{F}(V6), P_c_Tarski_OTop-{F}(V1,V6,V7), P_c_Product__Type_OUnity-{F}(V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_OCompleteLattice-{F}(V10) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #137: mergings( V3 == V15, V4 == V7, V7 == V8, V8 == V17, V5 == V11, V6 == V9, V9 == V12; #129 ), references = 1, size of lhs = 11:
% 0.46/0.64 P_v_Y-{F}(V0), P_v_cl-{F}(V1), P_v_A-{F}(V2), P_c_emptyset-{F}(V3), P_v_intY1-{F}(V4), V4 == V3, P_v_r-{F}(V5), P_t_a-{F}(V6), P_c_Product__Type_OUnity-{F}(V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #146: mergings( V1 == V14, V2 == V5, V5 == V6, V6 == V16, V3 == V9, V4 == V7, V7 == V10; #138 ), references = 1, size of lhs = 10:
% 0.46/0.64 P_v_cl-{F}(V0), P_v_A-{F}(V1), P_c_emptyset-{F}(V2), P_v_intY1-{F}(V3), V3 == V2, P_v_r-{F}(V4), P_t_a-{F}(V5), P_c_Product__Type_OUnity-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_OCompleteLattice-{F}(V8) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #153: mergings( V1 == V11, V2 == V4, V4 == V5, V5 == V13, V3 == V7; #147 ), references = 1, size of lhs = 8:
% 0.46/0.64 P_v_cl-{F}(V0), P_v_A-{F}(V1), P_v_intY1-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_Product__Type_OUnity-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_OCompleteLattice-{F}(V7) | P_c_emptyset-{T}(V2)
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #166: mergings( V6 == V11, V7 == V16, V12 == V17, V8 == V18, V13 == V19, V15 == V21, V9 == V21, V10 == V22, V14 == V23, V21 == V24; #155 ), references = 1, size of lhs = 15:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V7), P_v_cl-{F}(V8), P_c_Tarski_OTop-{F}(V8,V2,V9), P_v_A-{F}(V10), P_c_emptyset-{F}(V11), P_v_Y-{F}(V12), P_c_Tarski_Olub-{F}(V12,V8,V2,V13), P_c_Tarski_Ointerval-{F}(V1,V13,V9,V2,V11) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #180: mergings( V4 == V12, V14 == V17, V5 == V18, V6 == V19, V7 == V10, V10 == V21, V15 == V20, V20 == V22, V8 == V23, V12 == V9, V9 == V11; #168 ), references = 1, size of lhs = 13:
% 0.46/0.64 P_c_emptyset-{F}(V0), P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Tarski_Oinduced-{F}(V0,V1,V2,V3), P_c_Product__Type_OUnity-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V7), P_v_cl-{F}(V8), P_c_Tarski_OTop-{F}(V8,V2,V9), P_v_A-{F}(V10), P_v_Y-{F}(V11) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #191: mergings( V4 == V12, V5 == V13, V6 == V9, V9 == V15, V11 == V14, V14 == V16, V7 == V19, V0 == V8, V8 == V10; #181 ), references = 1, size of lhs = 12:
% 0.46/0.64 P_v_intY1-{F}(V0), P_c_emptyset-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V4,V6), P_v_cl-{F}(V7), P_c_Tarski_OTop-{F}(V7,V2,V8), P_v_A-{F}(V9), P_v_Y-{F}(V10) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #199: mergings( V4 == V11, V5 == V8, V8 == V12, V6 == V15, V3 == V7, V7 == V9; #192 ), references = 1, size of lhs = 11:
% 0.46/0.64 P_v_intY1-{F}(V0), P_c_emptyset-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_v_cl-{F}(V6), P_c_Tarski_OTop-{F}(V6,V2,V7), P_v_A-{F}(V8), P_v_Y-{F}(V9) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #207: mergings( V4 == V11, V5 == V8, V8 == V13, V6 == V14, V3 == V7, V7 == V9; #200 ), references = 1, size of lhs = 10:
% 0.46/0.64 P_v_intY1-{F}(V0), P_c_emptyset-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_v_cl-{F}(V6), P_v_A-{F}(V7), P_v_Y-{F}(V8) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #215: mergings( V2 == V10, V3 == V6, V6 == V12, V4 == V14, V1 == V5, V5 == V7; #208 ), references = 1, size of lhs = 9:
% 0.46/0.64 P_v_intY1-{F}(V0), P_c_emptyset-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_v_cl-{F}(V6), P_v_A-{F}(V7) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #231: mergings( V6 == V15, V7 == V16, V1 == V8, V8 == V12, V12 == V17, V9 == V18, V2 == V3, V3 == V4, V4 == V10, V10 == V13, V13 == V14, V14 == V19, V5 == V20; #217 ), references = 1, size of lhs = 7:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_v_cl-{F}(V6) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #245: mergings( V5 == V14, V6 == V15, V1 == V7, V7 == V11, V11 == V16, V8 == V17, V2 == V3, V3 == V4, V4 == V9, V9 == V12, V12 == V13, V13 == V18; #232 ), references = 1, size of lhs = 6:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #253: mergings( V2 == V8, V3 == V9, V1 == V4, V4 == V7, V7 == V10, V5 == V11; #246 ), references = 1, size of lhs = 5:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #260: mergings( V2 == V7, V3 == V8, V1 == V4, V4 == V6, V6 == V9; #254 ), references = 1, size of lhs = 4:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_c_Product__Type_OUnity-{F}(V3) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #264: mergings( V1 == V4, V2 == V5; #261 ), references = 1, size of lhs = 3:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #267: mergings( V1 == V3; #265 ), references = 1, size of lhs = 2:
% 0.46/0.64 P_v_intY1-{F}(V0), P_v_r-{F}(V1) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #269: exists( #9, #265 ), references = 1, size of lhs = 1:
% 0.46/0.64 P_v_intY1-{F}(V0) | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 #271: exists( #7, #268 ), references = 1, size of lhs = 0:
% 0.46/0.64 FALSE | FALSE
% 0.46/0.64 (used 0 times, uses = {})
% 0.46/0.64
% 0.46/0.64 number of learnt formulas = 25
% 0.46/0.64
% 0.46/0.64
% 0.46/0.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64
% 0.46/0.64 randbase = 1
%------------------------------------------------------------------------------