TSTP Solution File: SET847-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET847-2 : 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 06:16:50 EDT 2022
% Result : Unsatisfiable 3.80s 4.00s
% Output : Refutation 3.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET847-2 : 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 : Sat Jul 23 01:38:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.80/4.00 GeoParameters:
% 3.80/4.00
% 3.80/4.00 tptp_input = 1
% 3.80/4.00 tptp_output = 0
% 3.80/4.00 nonempty = 1
% 3.80/4.00 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.80/4.00 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.80/4.00
% 3.80/4.00
% 3.80/4.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.80/4.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.80/4.00
% 3.80/4.00 RuleSystem INPUT:
% 3.80/4.00
% 3.80/4.00 Initial Rules:
% 3.80/4.00 #0: input, references = 5, size of lhs = 3:
% 3.80/4.00 P_tc_set-{F}(V1,V3), P_c_minus-{F}(V4,V2,V3,V5), c_in-{F}(V0,V4,V1) | c_in-{T}(V0,V2,V1), c_in-{T}(V0,V5,V1)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #1: input, references = 6, size of lhs = 2:
% 3.80/4.00 P_c_emptyset-{F}(V0), c_in-{F}(V2,V0,V1) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #2: input, references = 5, size of lhs = 3:
% 3.80/4.00 P_c_emptyset-{F}(V0), #-{F} V1, P_tc_set-{F}(V2,V3) | c_lessequals-{T}(V0,V1,V3)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #3: input, references = 4, size of lhs = 3:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_Main_OsubsetI__1-{F}(V1,V3,V2,V4), P_tc_set-{F}(V2,V5) | c_in-{T}(V4,V1,V2), c_lessequals-{T}(V1,V3,V5)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #4: input, references = 3, size of lhs = 5:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V3,V4), c_lessequals-{F}(V2,V1,V4), c_lessequals-{F}(V1,V2,V4), V1 == V2 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #5: input, references = 8, size of lhs = 3:
% 3.80/4.00 P_c_emptyset-{F}(V0), #-{F} V1, P_tc_set-{F}(V2,V3) | c_lessequals-{T}(V1,V1,V3)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #6: input, references = 11, size of lhs = 7:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_Zorn_OTFin-{F}(V3,V1,V4), P_tc_set-{F}(V1,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V6,V7), P_c_Union-{F}(V2,V5,V8), c_lessequals-{F}(V2,V4,V7) | c_in-{T}(V8,V4,V6)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #7: input, references = 6, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_Zorn_OTFin-{F}(V3,V2,V4), P_tc_set-{F}(V2,V5), P_tc_set-{F}(V5,V6), P_c_Zorn_Ochain-{F}(V3,V2,V7), c_in-{F}(V1,V4,V6) | c_in-{T}(V1,V7,V6)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #8: input, references = 5, size of lhs = 8:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_Zorn_OTFin-{F}(V2,V1,V3), P_tc_set-{F}(V1,V4), P_c_Union-{F}(V3,V4,V5), P_tc_set-{F}(V4,V6), P_c_Zorn_Osucc-{F}(V2,V5,V1,V7), c_in-{F}(V5,V3,V6), V5 == V7 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #9: input, references = 6, size of lhs = 9:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_Zorn_Ochain-{F}(V3,V2,V4), P_c_Zorn_Omaxchain-{F}(V3,V2,V5), P_tc_set-{F}(V2,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V7,V8), P_c_minus-{F}(V4,V5,V8,V9), P_c_Zorn_Osucc-{F}(V3,V1,V2,V1), c_in-{F}(V1,V9,V7) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #10: input, references = 5, size of lhs = 7:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), c_in-{F}(V6,V3,V5) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #11: input, references = 4, size of lhs = 3:
% 3.80/4.00 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #12: input, references = 17, size of lhs = 1:
% 3.80/4.00 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #13: input, references = 4, size of lhs = 0:
% 3.80/4.00 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #14: input, references = 5, size of lhs = 3:
% 3.80/4.00 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #15: input, references = 4, size of lhs = 2:
% 3.80/4.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_OTFin-{T}(V0,V1,V2)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #16: input, references = 10, size of lhs = 2:
% 3.80/4.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Union-{T}(V0,V1,V2)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #17: input, references = 4, size of lhs = 2:
% 3.80/4.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_Ochain-{T}(V0,V1,V2)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #18: input, references = 5, size of lhs = 3:
% 3.80/4.00 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_Osucc-{T}(V0,V1,V2,V3)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #19: input, references = 4, size of lhs = 2:
% 3.80/4.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_Omaxchain-{T}(V0,V1,V2)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #20: input, references = 4, size of lhs = 0:
% 3.80/4.00 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #21: input, references = 4, size of lhs = 0:
% 3.80/4.00 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 number of initial rules = 22
% 3.80/4.00
% 3.80/4.00 Simplifiers:
% 3.80/4.00 #22: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #23: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #24: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #25: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #26: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_Zorn_OTFin-{F}(V0,V1,V2), P_c_Zorn_OTFin-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #27: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_Union-{F}(V0,V1,V2), P_c_Union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #28: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_Zorn_Ochain-{F}(V0,V1,V2), P_c_Zorn_Ochain-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #29: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_Zorn_Osucc-{F}(V0,V1,V2,V3), P_c_Zorn_Osucc-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #30: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_c_Zorn_Omaxchain-{F}(V0,V1,V2), P_c_Zorn_Omaxchain-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #31: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #32: unsound, references = 3, size of lhs = 3:
% 3.80/4.00 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 number of simplifiers = 11
% 3.80/4.00
% 3.80/4.00 Learnt:
% 3.80/4.00 #37: mergings( V3 == V4; #35 ), references = 2, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_c_Zorn_OTFin-{F}(V1,V2,V0), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5), c_lessequals-{F}(V6,V0,V5) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #40: exists( #18, #8 ), references = 3, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_c_Zorn_OTFin-{F}(V4,V1,V5), P_c_Union-{F}(V5,V2,V6), c_in-{F}(V6,V5,V3) | P_c_Zorn_Osucc-{T}(V4,V6,V1,V6)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #56: mergings( V9 == V10, V1 == V12, V3 == V4, V4 == V5, V5 == V6; #50 ), references = 1, size of lhs = 15:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V6), c_lessequals-{F}(V8,V8,V5), P_c_Zorn_OTFin-{F}(V9,V1,V8), P_c_Zorn_OTFin-{F}(V10,V3,V8), P_c_Zorn_Ochain-{F}(V10,V3,V11), P_c_Zorn_Omaxchain-{F}(V10,V3,V12), P_c_minus-{F}(V11,V12,V5,V13), P_c_Zorn_Ochain-{F}(V14,V7,V13), P_c_Zorn_OTFin-{F}(V14,V7,V8) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #59: disj( #0, input ), references = 2, size of lhs = 4:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_c_minus-{F}(V3,V0,V2,V4), c_in-{F}(V5,V3,V1) | c_in-{T}(V5,V4,V1)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #63: mergings( V1 == V4; #61 ), references = 2, size of lhs = 8:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Zorn_Omaxchain-{F}(V5,V1,V0), P_c_Zorn_Osucc-{F}(V5,V6,V1,V6), P_c_Zorn_Ochain-{F}(V5,V1,V7), c_in-{F}(V6,V7,V3) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #72: mergings( V9 == V10, V1 == V12, V3 == V4, V4 == V5, V5 == V6; #66 ), references = 2, size of lhs = 10:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_Omaxchain-{F}(V6,V3,V0), P_c_Zorn_OTFin-{F}(V6,V3,V7), P_c_Zorn_Ochain-{F}(V6,V3,V7), c_lessequals-{F}(V7,V7,V5), P_c_Zorn_OTFin-{F}(V8,V1,V7) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #76: mergings( V2 == V3; #74 ), references = 2, size of lhs = 4:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_c_Zorn_OTFin-{F}(V4,V1,V0) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #80: mergings( V2 == V3; #78 ), references = 1, size of lhs = 8:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V2), P_c_Zorn_Omaxchain-{F}(V5,V4,V0), P_c_Zorn_OTFin-{F}(V5,V4,V6), P_c_Zorn_Ochain-{F}(V5,V4,V6), P_c_Zorn_OTFin-{F}(V7,V1,V6) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #83: mergings( V2 == V3; #81 ), references = 1, size of lhs = 7:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_c_Zorn_Omaxchain-{F}(V4,V3,V0), P_c_Zorn_OTFin-{F}(V4,V3,V5), P_c_Zorn_Ochain-{F}(V4,V3,V5), P_c_Zorn_OTFin-{F}(V6,V1,V5) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #93: mergings( V2 == V3, V3 == V4, V4 == V5; #89 ), references = 2, size of lhs = 9:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V4), P_c_Zorn_Ochain-{F}(V6,V5,V0), P_c_Zorn_OTFin-{F}(V6,V5,V7), P_c_Zorn_OTFin-{F}(V8,V1,V7), P_c_Union-{F}(V7,V2,V9) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #100: mergings( V2 == V3, V3 == V4; #97 ), references = 1, size of lhs = 11:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V4), P_c_Zorn_OTFin-{F}(V6,V1,V7), P_c_Union-{F}(V7,V2,V8), P_c_Union-{F}(V7,V4,V8), P_c_Zorn_OTFin-{F}(V9,V5,V7), P_c_Zorn_Osucc-{F}(V9,V8,V5,V10), V8 == V10 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #104: mergings( V4 == V5, V5 == V6; #101 ), references = 3, size of lhs = 9:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V4), P_c_Zorn_OTFin-{F}(V6,V1,V7), P_c_Union-{F}(V7,V2,V8), P_c_Union-{F}(V7,V4,V8), P_c_Zorn_OTFin-{F}(V9,V5,V7) | P_c_Zorn_Osucc-{T}(V9,V8,V5,V8)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #107: exists( #16, #93 ), references = 1, size of lhs = 8:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V4), P_c_Zorn_Ochain-{F}(V6,V5,V0), P_c_Zorn_OTFin-{F}(V6,V5,V7), P_c_Zorn_OTFin-{F}(V8,V1,V7) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #109: exists( #12, #106 ), references = 1, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_c_Zorn_Ochain-{F}(V4,V3,V0), P_c_Zorn_OTFin-{F}(V4,V3,V5), P_c_Zorn_OTFin-{F}(V6,V1,V5) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #113: mergings( V3 == V4; #111 ), references = 2, size of lhs = 11:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V5,V6), c_lessequals-{F}(V7,V3,V6), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_c_Zorn_OTFin-{F}(V10,V9,V3) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #115: exists( #12, #76 ), references = 1, size of lhs = 3:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_c_Zorn_OTFin-{F}(V3,V1,V0) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #118: mergings( V0 == V6; #116 ), references = 3, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), c_lessequals-{F}(V4,V5,V2), V5 == V4, P_c_Main_OsubsetI__1-{F}(V5,V4,V1,V6) | c_in-{T}(V6,V5,V1)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #125: mergings( V7 == V9, V4 == V5, V5 == V6; #121 ), references = 1, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_c_minus-{F}(V4,V0,V2,V0), c_lessequals-{F}(V5,V4,V2), V4 == V5 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #130: mergings( V2 == V3; #128 ), references = 1, size of lhs = 9:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V6), P_c_Zorn_OTFin-{F}(V8,V7,V3) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #133: mergings( V2 == V3; #131 ), references = 1, size of lhs = 7:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V5,V4), P_c_Zorn_OTFin-{F}(V6,V5,V3) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #139: disj( #0, input ), references = 1, size of lhs = 4:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_c_minus-{F}(V3,V4,V2,V0), c_in-{F}(V5,V3,V1) | c_in-{T}(V5,V4,V1)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #150: mergings( V7 == V12, V8 == V9, V1 == V10, V3 == V4, V4 == V5; #144 ), references = 1, size of lhs = 13:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V2), P_c_Zorn_OTFin-{F}(V7,V1,V8), c_lessequals-{F}(V9,V8,V5), P_c_Zorn_OTFin-{F}(V10,V6,V9), P_c_Zorn_OTFin-{F}(V11,V3,V9), P_c_Zorn_Ochain-{F}(V11,V3,V12), P_c_Zorn_Omaxchain-{F}(V11,V3,V13), P_c_minus-{F}(V12,V13,V5,V8) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #158: mergings( V4 == V5; #156 ), references = 2, size of lhs = 10:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6), c_lessequals-{F}(V8,V3,V6), V3 == V8 | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #168: mergings( V2 == V3, V3 == V4, V4 == V5; #164 ), references = 2, size of lhs = 14:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V3), P_tc_set-{F}(V7,V6), P_c_Zorn_Omaxchain-{F}(V8,V7,V0), P_c_Zorn_Ochain-{F}(V8,V7,V9), P_c_Zorn_Ochain-{F}(V10,V5,V9), P_c_Zorn_OTFin-{F}(V10,V5,V11), P_c_Zorn_OTFin-{F}(V12,V1,V11), P_c_Union-{F}(V11,V2,V13), P_c_Zorn_Osucc-{F}(V8,V13,V7,V13) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #176: mergings( V2 == V3; #173 ), references = 1, size of lhs = 7:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), V3 == V0, P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #179: mergings( V2 == V3; #177 ), references = 1, size of lhs = 6:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Omaxchain-{F}(V1,V2,V3), V3 == V0, P_tc_set-{F}(V2,V4) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #182: mergings( V3 == V4; #180 ), references = 1, size of lhs = 4:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3) | P_c_Zorn_Omaxchain-{T}(V1,V2,V0)
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #188: mergings( V6 == V9, V1 == V8, V3 == V4; #184 ), references = 1, size of lhs = 14:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_tc_set-{F}(V2,V4), P_c_Zorn_Omaxchain-{F}(V5,V3,V0), P_c_Zorn_OTFin-{F}(V5,V3,V6), P_c_Zorn_OTFin-{F}(V7,V1,V6), P_c_Zorn_Ochain-{F}(V5,V3,V8), P_tc_set-{F}(V9,V2), P_c_Zorn_OTFin-{F}(V10,V9,V6), P_tc_set-{F}(V11,V4), P_tc_set-{F}(V12,V11), P_c_Zorn_Ochain-{F}(V13,V12,V8), P_c_Zorn_OTFin-{F}(V13,V12,V6) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #191: mergings( V2 == V3; #189 ), references = 1, size of lhs = 12:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_c_Zorn_Omaxchain-{F}(V4,V3,V0), P_c_Zorn_OTFin-{F}(V4,V3,V5), P_c_Zorn_OTFin-{F}(V6,V1,V5), P_c_Zorn_Ochain-{F}(V4,V3,V7), P_tc_set-{F}(V8,V2), P_c_Zorn_OTFin-{F}(V9,V8,V5), P_tc_set-{F}(V10,V2), P_c_Zorn_Ochain-{F}(V11,V10,V7), P_c_Zorn_OTFin-{F}(V11,V10,V5) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #194: mergings( V3 == V4; #192 ), references = 1, size of lhs = 8:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V3,V2), P_tc_set-{F}(V4,V2), P_c_Zorn_Omaxchain-{F}(V5,V4,V0), P_c_Zorn_OTFin-{F}(V5,V4,V6), P_c_Zorn_OTFin-{F}(V7,V1,V6), P_c_Zorn_OTFin-{F}(V8,V3,V6) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #197: mergings( V3 == V4; #195 ), references = 1, size of lhs = 3:
% 3.80/4.00 P_c_emptyset-{F}(V0), P_tc_set-{F}(V1,V2), P_c_Zorn_Omaxchain-{F}(V3,V1,V0) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #202: mergings( V2 == V4, V4 == V5; #199 ), references = 1, size of lhs = 3:
% 3.80/4.00 P_v_S-{F}(V0), P_t_a-{F}(V1), P_c_emptyset-{F}(V2) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #206: mergings( V1 == V3, V3 == V4; #203 ), references = 1, size of lhs = 2:
% 3.80/4.00 P_v_S-{F}(V0), P_c_emptyset-{F}(V1) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #210: mergings( V1 == V2, V2 == V3; #207 ), references = 1, size of lhs = 1:
% 3.80/4.00 P_c_emptyset-{F}(V0) | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 #212: exists( #13, #207 ), references = 1, size of lhs = 0:
% 3.80/4.00 FALSE | FALSE
% 3.80/4.00 (used 0 times, uses = {})
% 3.80/4.00
% 3.80/4.00 number of learnt formulas = 35
% 3.80/4.00
% 3.80/4.00
% 3.80/4.00 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.80/4.00
% 3.80/4.00 randbase = 1
%------------------------------------------------------------------------------