TSTP Solution File: LAT273-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 20:14:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42 GeoParameters:
% 0.19/0.42
% 0.19/0.42 tptp_input = 1
% 0.19/0.42 tptp_output = 0
% 0.19/0.42 nonempty = 1
% 0.19/0.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 RuleSystem INPUT:
% 0.19/0.42
% 0.19/0.42 Initial Rules:
% 0.19/0.42 #0: input, references = 4, size of lhs = 6:
% 0.19/0.42 P_tc_set-{F}(V1,V4), P_tc_prod-{F}(V1,V1,V5), P_c_Tarski_Ointerval-{F}(V2,V6,V3,V1,V7), c_lessequals-{F}(V0,V7,V4), P_c_Pair-{F}(V8,V3,V1,V1,V9), c_in-{F}(V8,V0,V1) | c_in-{T}(V9,V2,V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #1: input, references = 4, size of lhs = 9:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_cl-{F}(V4), c_in-{F}(V5,V0,V1), P_c_Pair-{F}(V6,V5,V1,V1,V7), P_v_sko__4mi-{F}(V8,V2,V5,V9), c_Tarski_OisLub-{F}(V8,V4,V6,V1) | c_in-{T}(V7,V2,V3), c_in-{T}(V9,V8,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #2: input, references = 4, size of lhs = 11:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_cl-{F}(V4), c_in-{F}(V5,V0,V1), P_c_Pair-{F}(V6,V5,V1,V1,V7), P_v_sko__4mi-{F}(V8,V2,V5,V9), P_c_Pair-{F}(V9,V5,V1,V1,V10), c_Tarski_OisLub-{F}(V8,V4,V6,V1), c_in-{F}(V10,V2,V3) | c_in-{T}(V7,V2,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #3: input, references = 4, size of lhs = 6:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_cl-{F}(V4), P_v_b-{F}(V5) | c_in-{T}(V5,V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #4: input, references = 4, size of lhs = 10:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_cl-{F}(V4), P_v_b-{F}(V5), P_v_S-{F}(V6), P_v_a-{F}(V7), P_c_Tarski_Ointerval-{F}(V2,V7,V5,V1,V8), P_tc_set-{F}(V1,V9) | c_lessequals-{T}(V6,V8,V9)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #5: input, references = 4, size of lhs = 11:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_cl-{F}(V4), P_v_b-{F}(V5), P_v_S-{F}(V6), P_v_a-{F}(V7), P_c_Tarski_Ointerval-{F}(V2,V7,V5,V1,V8), P_tc_set-{F}(V1,V9), P_v_L-{F}(V10) | c_Tarski_OisLub-{T}(V6,V4,V10,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #6: input, references = 5, size of lhs = 13:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_cl-{F}(V4), P_v_b-{F}(V5), P_v_S-{F}(V6), P_v_a-{F}(V7), P_c_Tarski_Ointerval-{F}(V2,V7,V5,V1,V8), P_tc_set-{F}(V1,V9), P_v_L-{F}(V10), P_c_Pair-{F}(V10,V5,V1,V1,V11), c_in-{F}(V11,V2,V3) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #7: input, references = 4, size of lhs = 4:
% 0.19/0.42 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Tarski_Ointerval-{T}(V0,V1,V2,V3,V4)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #8: input, references = 4, size of lhs = 1:
% 0.19/0.42 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #9: input, references = 5, size of lhs = 4:
% 0.19/0.42 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #10: input, references = 4, size of lhs = 2:
% 0.19/0.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #11: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #12: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #13: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #14: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #15: input, references = 4, size of lhs = 3:
% 0.19/0.42 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_v_sko__4mi-{T}(V0,V1,V2,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #16: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_b-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #17: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #18: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_a-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #19: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_v_L-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of initial rules = 20
% 0.19/0.42
% 0.19/0.42 Simplifiers:
% 0.19/0.42 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_c_Tarski_Ointerval-{F}(V0,V1,V2,V3,V4), P_c_Tarski_Ointerval-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_sko__4mi-{F}(V0,V1,V2,V3), P_v_sko__4mi-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_b-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_a-{F}(V0), P_v_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_v_L-{F}(V0), P_v_L-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of simplifiers = 18
% 0.19/0.42
% 0.19/0.42 Learnt:
% 0.19/0.42 #46: mergings( V4 == V7, V2 == V8, V15 == V20, V6 == V10; #41 ), references = 1, size of lhs = 19:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), c_in-{F}(V2,V0,V1), P_tc_prod-{F}(V1,V1,V3), P_v_r-{F}(V4), P_v_cl-{F}(V5), P_v_b-{F}(V6), P_v_S-{F}(V7), P_v_a-{F}(V8), P_c_Tarski_Ointerval-{F}(V4,V8,V6,V1,V9), P_v_L-{F}(V10), P_c_Pair-{F}(V10,V6,V1,V1,V11), P_c_Pair-{F}(V12,V2,V1,V1,V11), c_Tarski_OisLub-{F}(V13,V5,V12,V1), P_v_sko__4mi-{F}(V13,V4,V2,V14), P_tc_set-{F}(V1,V15), c_in-{F}(V14,V16,V1), c_lessequals-{F}(V16,V17,V15), P_c_Tarski_Ointerval-{F}(V4,V18,V2,V1,V17) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #58: mergings( V11 == V4, V26 == V8, V25 == V6, V3 == V15, V0 == V10, V10 == V13, V1 == V14, V22 == V27, V2 == V16, V4 == V17; #47 ), references = 1, size of lhs = 21:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), c_in-{F}(V2,V0,V1), c_in-{F}(V3,V0,V1), P_tc_prod-{F}(V1,V1,V4), P_v_r-{F}(V5), P_v_cl-{F}(V6), P_v_b-{F}(V7), P_v_S-{F}(V8), P_v_a-{F}(V9), P_c_Tarski_Ointerval-{F}(V5,V9,V7,V1,V10), P_v_L-{F}(V11), P_c_Pair-{F}(V11,V7,V1,V1,V12), P_c_Pair-{F}(V13,V3,V1,V1,V12), c_Tarski_OisLub-{F}(V14,V6,V13,V1), P_v_sko__4mi-{F}(V14,V5,V3,V15), P_v_sko__4mi-{F}(V14,V5,V2,V15), P_c_Pair-{F}(V13,V2,V1,V1,V16), P_tc_set-{F}(V1,V17), c_lessequals-{F}(V14,V18,V17), P_c_Tarski_Ointerval-{F}(V5,V19,V3,V1,V18) | c_in-{T}(V16,V5,V4)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #82: mergings( V8 == V15, V15 == V23, V23 == V31, V6 == V14, V14 == V20, V20 == V16, V5 == V9, V9 == V12, V12 == V13, V13 == V19, V19 == V27, V7 == V18, V18 == V21, V21 == V29, V10 == V22, V22 == V30, V11 == V24, V24 == V32, V25 == V28; #62 ), references = 1, size of lhs = 16:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), c_in-{F}(V2,V0,V1), P_tc_prod-{F}(V1,V1,V3), P_v_r-{F}(V4), P_v_cl-{F}(V5), P_v_b-{F}(V6), c_in-{F}(V6,V0,V1), P_v_S-{F}(V7), P_v_sko__4mi-{F}(V7,V4,V2,V8), P_v_sko__4mi-{F}(V7,V4,V6,V8), P_v_a-{F}(V9), P_tc_set-{F}(V1,V10), P_v_L-{F}(V11), P_c_Pair-{F}(V11,V2,V1,V1,V12), P_c_Pair-{F}(V11,V6,V1,V1,V12) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #100: mergings( V16 == V18, V18 == V20, V20 == V27, V15 == V17, V17 == V19, V19 == V21, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V14, V5 == V10, V10 == V12, V12 == V24, V7 == V13, V13 == V25; #83 ), references = 1, size of lhs = 12:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_v_r-{F}(V3), P_v_cl-{F}(V4), P_v_b-{F}(V5), c_in-{F}(V5,V0,V1), P_v_S-{F}(V6), P_v_sko__4mi-{F}(V6,V3,V5,V7), P_v_a-{F}(V8), P_tc_set-{F}(V1,V9), P_v_L-{F}(V10) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #118: mergings( V16 == V18, V18 == V20, V20 == V25, V15 == V17, V17 == V19, V19 == V21, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V13, V5 == V9, V9 == V11, V11 == V22, V0 == V12, V12 == V23; #101 ), references = 1, size of lhs = 11:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_v_r-{F}(V3), P_v_cl-{F}(V4), P_v_b-{F}(V5), c_in-{F}(V5,V0,V1), P_v_S-{F}(V6), P_v_a-{F}(V7), P_tc_set-{F}(V1,V8), P_v_L-{F}(V9) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #135: mergings( V14 == V15, V15 == V16, V16 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V2 == V17, V3 == V5, V5 == V9, V9 == V11, V11 == V18, V7 == V12, V12 == V20; #120 ), references = 1, size of lhs = 9:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_cl-{F}(V3), P_v_b-{F}(V4), P_v_S-{F}(V5), P_v_a-{F}(V6), P_tc_set-{F}(V1,V7), P_v_L-{F}(V8) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #148: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V13, V2 == V14, V3 == V5, V5 == V9, V9 == V11, V11 == V15, V7 == V12, V12 == V17; #136 ), references = 1, size of lhs = 8:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_cl-{F}(V3), P_v_b-{F}(V4), P_v_S-{F}(V5), P_v_a-{F}(V6), P_v_L-{F}(V7) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #161: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V1 == V14, V2 == V4, V4 == V8, V8 == V10, V10 == V15, V6 == V11, V11 == V17; #149 ), references = 1, size of lhs = 7:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_cl-{F}(V3), P_v_b-{F}(V4), P_v_S-{F}(V5), P_v_a-{F}(V6) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #174: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V1 == V14, V2 == V4, V4 == V8, V8 == V10, V10 == V15, V6 == V11, V11 == V17; #162 ), references = 1, size of lhs = 6:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_cl-{F}(V3), P_v_b-{F}(V4), P_v_S-{F}(V5) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #185: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V1 == V12, V2 == V4, V4 == V7, V7 == V9, V9 == V13; #175 ), references = 1, size of lhs = 5:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_cl-{F}(V3), P_v_b-{F}(V4) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #196: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V1 == V12, V2 == V4, V4 == V7, V7 == V9, V9 == V13; #186 ), references = 1, size of lhs = 4:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_cl-{F}(V3) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #206: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V1 == V3, V3 == V6, V6 == V8, V8 == V11; #197 ), references = 1, size of lhs = 3:
% 0.19/0.42 P_v_A-{F}(V0), P_t_a-{F}(V1), P_v_cl-{F}(V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #212: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6; #207 ), references = 1, size of lhs = 2:
% 0.19/0.42 P_t_a-{F}(V0), P_v_cl-{F}(V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #218: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #213 ), references = 1, size of lhs = 1:
% 0.19/0.42 P_v_cl-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #220: exists( #11, #213 ), references = 1, size of lhs = 0:
% 0.19/0.42 FALSE | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of learnt formulas = 15
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 randbase = 1
%------------------------------------------------------------------------------