TSTP Solution File: PUZ012-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 06:14:16 EDT 2022
% Result : Unsatisfiable 0.32s 0.55s
% Output : Refutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.40 % Computer : n023.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8042.1875MB
% 0.12/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Fri Jul 22 07:26:02 EDT 2022
% 0.12/0.40 % CPUTime :
% 0.32/0.55 GeoParameters:
% 0.32/0.55
% 0.32/0.55 tptp_input = 1
% 0.32/0.55 tptp_output = 0
% 0.32/0.55 nonempty = 1
% 0.32/0.55 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.55 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.32/0.55
% 0.32/0.55
% 0.32/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.55
% 0.32/0.55 RuleSystem INPUT:
% 0.32/0.55
% 0.32/0.55 Initial Rules:
% 0.32/0.55 #0: input, references = 3, size of lhs = 1:
% 0.32/0.55 #-{F} V0 | equal_fruits-{T}(V0,V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #1: input, references = 3, size of lhs = 1:
% 0.32/0.55 #-{F} V0 | equal_boxes-{T}(V0,V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #2: input, references = 4, size of lhs = 2:
% 0.32/0.55 label-{F}(V0,V1), contains-{F}(V0,V1) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #3: input, references = 5, size of lhs = 4:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), #-{F} V3 | contains-{T}(V0,V3), contains-{T}(V1,V3), contains-{T}(V2,V3)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #4: input, references = 3, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), #-{F} V6 | contains-{T}(V6,V3), contains-{T}(V6,V4), contains-{T}(V6,V5)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #5: input, references = 6, size of lhs = 8:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), contains-{F}(V8,V6), contains-{F}(V8,V7) | equal_fruits-{T}(V6,V7)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #6: input, references = 3, size of lhs = 8:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), contains-{F}(V7,V6), contains-{F}(V8,V6) | equal_boxes-{T}(V8,V7)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #7: input, references = 4, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), equal_boxes-{F}(V0,V1) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #8: input, references = 4, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), equal_boxes-{F}(V1,V2) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #9: input, references = 4, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), equal_boxes-{F}(V0,V2) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #10: input, references = 5, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), equal_fruits-{F}(V3,V4) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #11: input, references = 4, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), equal_fruits-{F}(V4,V5) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #12: input, references = 3, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), equal_fruits-{F}(V3,V5) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #13: input, references = 3, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5) | label-{T}(V0,V3)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #14: input, references = 4, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5) | label-{T}(V1,V5)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #15: input, references = 4, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5) | label-{T}(V2,V4)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #16: input, references = 4, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5) | contains-{T}(V1,V3)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #17: input, references = 3, size of lhs = 8:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), P_oranges-{F}(V5), contains-{F}(V0,V4), contains-{F}(V2,V5) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #18: input, references = 4, size of lhs = 0:
% 0.32/0.55 FALSE | EXISTS V0: P_boxa-{T}(V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #19: input, references = 4, size of lhs = 0:
% 0.32/0.55 FALSE | EXISTS V0: P_boxb-{T}(V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #20: input, references = 5, size of lhs = 0:
% 0.32/0.55 FALSE | EXISTS V0: P_boxc-{T}(V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #21: input, references = 7, size of lhs = 0:
% 0.32/0.55 FALSE | EXISTS V0: P_apples-{T}(V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #22: input, references = 7, size of lhs = 0:
% 0.32/0.55 FALSE | EXISTS V0: P_bananas-{T}(V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #23: input, references = 7, size of lhs = 0:
% 0.32/0.55 FALSE | EXISTS V0: P_oranges-{T}(V0)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 number of initial rules = 24
% 0.32/0.55
% 0.32/0.55 Simplifiers:
% 0.32/0.55 #24: unsound, references = 3, size of lhs = 3:
% 0.32/0.55 P_boxa-{F}(V0), P_boxa-{F}(V1), V0 == V1 | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #25: unsound, references = 3, size of lhs = 3:
% 0.32/0.55 P_boxb-{F}(V0), P_boxb-{F}(V1), V0 == V1 | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #26: unsound, references = 3, size of lhs = 3:
% 0.32/0.55 P_boxc-{F}(V0), P_boxc-{F}(V1), V0 == V1 | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #27: unsound, references = 3, size of lhs = 3:
% 0.32/0.55 P_apples-{F}(V0), P_apples-{F}(V1), V0 == V1 | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #28: unsound, references = 3, size of lhs = 3:
% 0.32/0.55 P_bananas-{F}(V0), P_bananas-{F}(V1), V0 == V1 | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #29: unsound, references = 3, size of lhs = 3:
% 0.32/0.55 P_oranges-{F}(V0), P_oranges-{F}(V1), V0 == V1 | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 number of simplifiers = 6
% 0.32/0.55
% 0.32/0.55 Learnt:
% 0.32/0.55 #32: exists( #23, #7 ), references = 1, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), equal_boxes-{F}(V0,V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #33: exists( #23, #10 ), references = 2, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), equal_fruits-{F}(V3,V4) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #35: exists( #22, #30 ), references = 1, size of lhs = 5:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), equal_boxes-{F}(V0,V1), P_boxc-{F}(V2), P_apples-{F}(V3) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #37: exists( #21, #34 ), references = 1, size of lhs = 4:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), equal_boxes-{F}(V0,V1), P_boxc-{F}(V2) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #39: exists( #20, #36 ), references = 1, size of lhs = 3:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), equal_boxes-{F}(V0,V1) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #41: exists( #23, #8 ), references = 1, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), equal_boxes-{F}(V1,V2), P_apples-{F}(V3), P_bananas-{F}(V4) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #43: exists( #22, #40 ), references = 1, size of lhs = 5:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), equal_boxes-{F}(V1,V2), P_apples-{F}(V3) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #45: exists( #21, #42 ), references = 1, size of lhs = 4:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), equal_boxes-{F}(V1,V2) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #47: exists( #23, #9 ), references = 1, size of lhs = 6:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), equal_boxes-{F}(V0,V2), P_apples-{F}(V3), P_bananas-{F}(V4) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #49: exists( #22, #46 ), references = 1, size of lhs = 5:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), equal_boxes-{F}(V0,V2), P_apples-{F}(V3) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #51: exists( #21, #48 ), references = 1, size of lhs = 4:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), equal_boxes-{F}(V0,V2) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #64: mergings( V0 == V4, V4 == V10, V1 == V5, V5 == V11, V2 == V6, V6 == V12, V7 == V13, V8 == V3; #54 ), references = 1, size of lhs = 8:
% 0.32/0.55 P_oranges-{F}(V0), P_boxa-{F}(V1), P_boxb-{F}(V2), P_boxc-{F}(V3), P_apples-{F}(V4), contains-{F}(V2,V4), P_bananas-{F}(V5), label-{F}(V3,V5) | contains-{T}(V1,V5)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #74: mergings( V0 == V4, V4 == V10, V1 == V5, V5 == V11, V2 == V6, V6 == V12, V7 == V13, V8 == V3, V9 == V14; #55 ), references = 1, size of lhs = 8:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), contains-{F}(V1,V3), P_bananas-{F}(V4), label-{F}(V2,V4), P_oranges-{F}(V5) | contains-{T}(V0,V4)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #90: mergings( V0 == V4, V4 == V10, V10 == V15, V1 == V5, V5 == V11, V11 == V16, V6 == V12, V12 == V2, V7 == V13, V13 == V17, V8 == V14, V14 == V18, V9 == V3; #76 ), references = 1, size of lhs = 7:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3), P_bananas-{F}(V4), contains-{F}(V0,V4), P_oranges-{F}(V5) | contains-{T}(V1,V5)
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #128: mergings( V1 == V5, V5 == V8, V8 == V13, V13 == V18, V18 == V24, V24 == V29, V29 == V33, V6 == V11, V11 == V14, V14 == V19, V19 == V23, V23 == V25, V25 == V30, V30 == V34, V2 == V9, V9 == V12, V12 == V15, V15 == V20, V20 == V26, V26 == V31, V31 == V35, V3 == V7, V7 == V16, V16 == V21, V21 == V27, V27 == V32, V32 == V36, V4 == V10, V10 == V17, V17 == V22, V22 == V28; #96 ), references = 1, size of lhs = 5:
% 0.32/0.55 P_bananas-{F}(V0), P_boxa-{F}(V1), P_boxb-{F}(V2), P_boxc-{F}(V3), P_apples-{F}(V4) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #157: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V28, V5 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V21, V21 == V25, V25 == V29, V2 == V8, V8 == V10, V10 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V30, V3 == V6, V6 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31; #129 ), references = 1, size of lhs = 4:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2), P_apples-{F}(V3) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #180: mergings( V1 == V3, V3 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V22, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V2 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24; #158 ), references = 1, size of lhs = 3:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1), P_boxc-{F}(V2) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #196: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16; #181 ), references = 1, size of lhs = 2:
% 0.32/0.55 P_boxa-{F}(V0), P_boxb-{F}(V1) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #205: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #197 ), references = 1, size of lhs = 1:
% 0.32/0.55 P_boxa-{F}(V0) | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 #207: exists( #18, #197 ), references = 1, size of lhs = 0:
% 0.32/0.55 FALSE | FALSE
% 0.32/0.55 (used 0 times, uses = {})
% 0.32/0.55
% 0.32/0.55 number of learnt formulas = 20
% 0.32/0.55
% 0.32/0.55
% 0.32/0.55 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.55
% 0.32/0.55 randbase = 1
%------------------------------------------------------------------------------