TSTP Solution File: LCL146-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL146-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:08:50 EDT 2022
% Result : Unsatisfiable 18.80s 19.01s
% Output : Refutation 18.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL146-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 22:27:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.80/19.01 GeoParameters:
% 18.80/19.01
% 18.80/19.01 tptp_input = 1
% 18.80/19.01 tptp_output = 0
% 18.80/19.01 nonempty = 1
% 18.80/19.01 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.80/19.01 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 18.80/19.01
% 18.80/19.01
% 18.80/19.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.80/19.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.80/19.01
% 18.80/19.01 RuleSystem INPUT:
% 18.80/19.01
% 18.80/19.01 Initial Rules:
% 18.80/19.01 #0: input, references = 6, size of lhs = 3:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #1: input, references = 9, size of lhs = 7:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #2: input, references = 12, size of lhs = 6:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), V4 == V6 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #3: input, references = 5, size of lhs = 7:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V1,V6), P_implies-{F}(V5,V6,V7), V7 == V0 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #4: input, references = 7, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V1,V2,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V4,V2,V5), V3 == V5 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #5: input, references = 6, size of lhs = 7:
% 18.80/19.01 P_truth-{F}(V0), P_big_hat-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V2,V5), P_big_V-{F}(V4,V5,V6), P_not-{F}(V6,V7), V3 == V7 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #6: input, references = 3, size of lhs = 4:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), ordered-{F}(V1,V2), V3 == V0 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #7: input, references = 3, size of lhs = 2:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0) | ordered-{T}(V1,V2)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #8: input, references = 8, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_big_hat-{F}(V1,V2,V3), P_not-{F}(V3,V7), P_not-{F}(V1,V5), P_not-{F}(V2,V6), P_big_V-{F}(V5,V6,V7) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #9: input, references = 19, size of lhs = 2:
% 18.80/19.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #10: input, references = 4, size of lhs = 0:
% 18.80/19.01 FALSE | EXISTS V0: P_truth-{T}(V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #11: input, references = 14, size of lhs = 1:
% 18.80/19.01 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #12: input, references = 9, size of lhs = 2:
% 18.80/19.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_big_V-{T}(V0,V1,V2)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #13: input, references = 18, size of lhs = 2:
% 18.80/19.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_big_hat-{T}(V0,V1,V2)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #14: input, references = 4, size of lhs = 0:
% 18.80/19.01 FALSE | EXISTS V0: P_x-{T}(V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #15: input, references = 5, size of lhs = 0:
% 18.80/19.01 FALSE | EXISTS V0: P_y-{T}(V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 number of initial rules = 16
% 18.80/19.01
% 18.80/19.01 Simplifiers:
% 18.80/19.01 #16: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #17: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #18: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #19: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_big_V-{F}(V0,V1,V2), P_big_V-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #20: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_big_hat-{F}(V0,V1,V2), P_big_hat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #21: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #22: unsound, references = 3, size of lhs = 3:
% 18.80/19.01 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 number of simplifiers = 7
% 18.80/19.01
% 18.80/19.01 Learnt:
% 18.80/19.01 #24: exists( #9, #0 ), references = 31, size of lhs = 2:
% 18.80/19.01 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #26: exists( #12, #4 ), references = 3, size of lhs = 3:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4) | P_big_V-{T}(V1,V2,V4)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #28: exists( #11, #5 ), references = 23, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_big_V-{F}(V2,V5,V6) | P_not-{T}(V6,V4)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #32: exists( #9, #1 ), references = 3, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #33: exists( #9, #3 ), references = 12, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #42: mergings( V3 == V4; #38 ), references = 9, size of lhs = 4:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3) | P_implies-{T}(V4,V1,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #45: mergings( V3 == V4; #40 ), references = 1, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V1), P_not-{F}(V5,V4) | P_implies-{T}(V5,V2,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #53: mergings( V2 == V3, V3 == V4; #50 ), references = 1, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V2,V4), P_not-{F}(V5,V3), P_implies-{F}(V2,V5,V6), P_implies-{F}(V6,V5,V7), V7 == V4 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #62: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #57 ), references = 1, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V4,V1,V2), P_not-{F}(V5,V6), P_big_V-{F}(V6,V7,V4), P_not-{F}(V8,V7) | P_big_hat-{T}(V5,V8,V3)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #64: exists( #13, #5 ), references = 5, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_big_V-{F}(V2,V4,V5), P_not-{F}(V5,V6) | P_big_hat-{T}(V1,V3,V6)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #75: exists( #9, #4 ), references = 8, size of lhs = 3:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V1,V2,V3), P_implies-{F}(V1,V2,V4) | P_implies-{T}(V4,V2,V3)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #79: mergings( V3 == V4; #77 ), references = 21, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V4,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V5,V4,V6) | P_big_V-{T}(V1,V2,V6)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #89: mergings( V3 == V4, V4 == V5, V5 == V6; #85 ), references = 3, size of lhs = 9:
% 18.80/19.01 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_not-{F}(V6,V7), P_not-{F}(V7,V6) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #99: mergings( V3 == V4; #96 ), references = 24, size of lhs = 4:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5) | P_implies-{T}(V4,V5,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #101: mergings( V3 == V4; #97 ), references = 1, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V4,V6) | P_implies-{T}(V5,V6,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #109: mergings( V3 == V4, V4 == V5; #106 ), references = 18, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V1,V3,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V3) | P_implies-{T}(V2,V3,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #142: mergings( V3 == V4, V4 == V5, V5 == V6; #138 ), references = 2, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_implies-{F}(V7,V5,V6), P_not-{F}(V8,V7), P_implies-{F}(V5,V7,V9), P_implies-{F}(V10,V7,V9), P_not-{F}(V11,V10), P_big_hat-{F}(V11,V8,V12), V12 == V4 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #147: mergings( V3 == V4, V4 == V5, V5 == V6; #143 ), references = 3, size of lhs = 10:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_not-{F}(V7,V5), P_implies-{F}(V8,V5,V6), P_not-{F}(V9,V8), P_big_hat-{F}(V7,V9,V10), V10 == V4 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #152: mergings( V3 == V4, V4 == V5, V5 == V6; #148 ), references = 1, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_not-{F}(V6,V4), P_implies-{F}(V7,V4,V5), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V8,V9) | P_big_hat-{T}(V1,V3,V9)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #159: exists( #9, #147 ), references = 1, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_big_hat-{F}(V7,V3,V8), V8 == V5 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #161: exists( #13, #158 ), references = 6, size of lhs = 6:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6) | P_big_hat-{T}(V7,V3,V5)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #194: mergings( V3 == V4, V4 == V5; #191 ), references = 1, size of lhs = 6:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V4), P_big_hat-{F}(V3,V5,V2), P_not-{F}(V5,V6) | P_big_V-{T}(V4,V6,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #207: mergings( V3 == V4, V4 == V5; #204 ), references = 5, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_big_V-{F}(V1,V3,V4), P_implies-{F}(V4,V3,V5) | P_implies-{T}(V1,V3,V5)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #239: mergings( V3 == V4, V4 == V5, V5 == V6, V10 == V12; #234 ), references = 6, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V4,V6,V0), P_implies-{F}(V6,V4,V0), P_not-{F}(V7,V6), P_implies-{F}(V0,V7,V8) | P_big_V-{T}(V2,V5,V8)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #296: mergings( V3 == V4; #294 ), references = 1, size of lhs = 3:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #307: mergings( V3 == V4, V4 == V5; #303 ), references = 5, size of lhs = 14:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_big_hat-{F}(V10,V1,V11), P_implies-{F}(V12,V8,V0), P_not-{F}(V13,V12), P_big_hat-{F}(V13,V9,V14), V11 == V14 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #310: mergings( V3 == V4, V4 == V5; #304 ), references = 2, size of lhs = 16:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_big_hat-{F}(V1,V9,V10), P_implies-{F}(V11,V8,V0), P_not-{F}(V12,V11), P_implies-{F}(V8,V11,V13), P_implies-{F}(V14,V11,V13), P_not-{F}(V15,V14), P_big_hat-{F}(V15,V12,V16), V10 == V16 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #316: mergings( V3 == V4, V4 == V5; #312 ), references = 6, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_implies-{F}(V11,V8,V0), P_not-{F}(V12,V11), P_big_hat-{F}(V12,V9,V13) | P_big_hat-{T}(V10,V1,V13)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #322: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9, V16 == V18; #313 ), references = 1, size of lhs = 16:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V2,V0), P_not-{F}(V5,V4), P_implies-{F}(V2,V4,V6), P_implies-{F}(V7,V4,V6), P_not-{F}(V8,V7), P_big_hat-{F}(V8,V5,V9), P_not-{F}(V10,V11), P_not-{F}(V12,V11), P_not-{F}(V13,V14), P_implies-{F}(V14,V15,V0), P_implies-{F}(V16,V13,V2), P_not-{F}(V16,V17), P_implies-{F}(V15,V17,V11) | P_big_hat-{T}(V1,V10,V9)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #369: mergings( V3 == V4, V4 == V5, V6 == V16, V13 == V7; #363 ), references = 2, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3), P_big_V-{F}(V2,V3,V5), P_implies-{F}(V6,V5,V3), P_not-{F}(V6,V7), P_implies-{F}(V0,V7,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V3), P_big_hat-{F}(V10,V9,V11) | P_big_hat-{T}(V1,V4,V11)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #374: mergings( V3 == V4, V4 == V5, V6 == V18, V7 == V16; #364 ), references = 1, size of lhs = 14:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_big_V-{F}(V2,V4,V5), P_implies-{F}(V2,V4,V6), P_implies-{F}(V4,V7,V0), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V5,V7), P_not-{F}(V8,V9), P_implies-{F}(V0,V9,V10), P_not-{F}(V11,V10), P_not-{F}(V12,V7), P_big_hat-{F}(V11,V12,V13) | P_big_hat-{T}(V1,V3,V13)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #408: mergings( V3 == V4, V4 == V5; #405 ), references = 6, size of lhs = 7:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V4,V1,V5), P_implies-{F}(V0,V5,V6), P_not-{F}(V4,V7), P_implies-{F}(V3,V7,V5) | P_implies-{T}(V2,V7,V6)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #453: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V11 == V23, V12 == V24, V15 == V17, V13 == V22; #441 ), references = 1, size of lhs = 16:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V0,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_implies-{F}(V0,V4,V7), P_implies-{F}(V0,V7,V8), P_implies-{F}(V8,V4,V9), P_not-{F}(V9,V10), P_implies-{F}(V6,V10,V7), P_not-{F}(V1,V11), P_not-{F}(V2,V12), P_big_V-{F}(V11,V12,V10) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #465: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V0, V0 == V7, V7 == V8; #457 ), references = 1, size of lhs = 4:
% 18.80/19.01 P_x-{F}(V0), P_implies-{F}(V0,V0,V0), P_y-{F}(V0), P_truth-{F}(V0) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #477: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V8 == V12, V12 == V10; #470 ), references = 2, size of lhs = 17:
% 18.80/19.01 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_implies-{F}(V1,V6,V3), P_not-{F}(V6,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V8,V3,V0), P_not-{F}(V9,V8), P_big_hat-{F}(V9,V5,V10), P_not-{F}(V10,V11), P_implies-{F}(V0,V12,V11), P_not-{F}(V12,V13), P_implies-{F}(V10,V13,V0), P_implies-{F}(V13,V10,V0) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #483: exists( #13, #307 ), references = 1, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_implies-{F}(V11,V8,V0), P_not-{F}(V12,V11), P_big_hat-{F}(V12,V9,V13) | P_big_hat-{T}(V10,V1,V13)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #517: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V13 == V15, V15 == V17; #507 ), references = 3, size of lhs = 25:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V0,V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_not-{F}(V7,V3), P_implies-{F}(V8,V3,V0), P_not-{F}(V9,V8), P_big_hat-{F}(V9,V6,V10), P_implies-{F}(V11,V3,V0), P_implies-{F}(V0,V12,V11), P_not-{F}(V12,V13), P_implies-{F}(V10,V13,V0), P_implies-{F}(V13,V10,V0), P_implies-{F}(V14,V2,V3), P_implies-{F}(V0,V14,V15), P_implies-{F}(V14,V7,V16), P_implies-{F}(V16,V7,V17), V17 == V15, P_not-{F}(V18,V19), P_big_V-{F}(V19,V20,V14), P_not-{F}(V21,V20) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #527: mergings( V3 == V4, V4 == V5, V5 == V6; #523 ), references = 2, size of lhs = 6:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V1,V5), P_implies-{F}(V5,V3,V6) | P_implies-{T}(V1,V3,V6)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #558: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V11 == V20, V18 == V19; #550 ), references = 4, size of lhs = 20:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V3), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V1,V0), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V6,V1), P_implies-{F}(V1,V6,V7), P_not-{F}(V7,V3), P_implies-{F}(V0,V7,V8), P_not-{F}(V9,V1), P_implies-{F}(V9,V1,V2), P_not-{F}(V10,V3), P_implies-{F}(V11,V3,V0), P_big_V-{F}(V11,V3,V1), P_not-{F}(V12,V11) | P_big_hat-{T}(V12,V10,V8)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #605: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V13 == V15, V15 == V17; #595 ), references = 2, size of lhs = 26:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V0,V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_not-{F}(V7,V3), P_implies-{F}(V8,V3,V0), P_not-{F}(V9,V8), P_big_hat-{F}(V9,V6,V10), P_implies-{F}(V11,V3,V0), P_implies-{F}(V0,V12,V11), P_not-{F}(V12,V13), P_implies-{F}(V10,V13,V0), P_implies-{F}(V13,V10,V0), P_implies-{F}(V14,V2,V3), P_not-{F}(V15,V16), P_big_V-{F}(V16,V17,V14), P_not-{F}(V18,V17), P_implies-{F}(V19,V7,V20), P_implies-{F}(V19,V14,V21), P_implies-{F}(V0,V21,V22), P_implies-{F}(V20,V22,V23), V23 == V0 | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #660: mergings( V3 == V4, V4 == V5, V5 == V6, V9 == V24; #653 ), references = 5, size of lhs = 30:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V0,V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_not-{F}(V7,V3), P_not-{F}(V8,V7), P_implies-{F}(V9,V3,V0), P_not-{F}(V10,V9), P_big_hat-{F}(V10,V6,V11), P_implies-{F}(V12,V3,V0), P_implies-{F}(V0,V13,V12), P_not-{F}(V13,V14), P_implies-{F}(V11,V14,V0), P_implies-{F}(V14,V11,V0), P_implies-{F}(V15,V2,V3), P_not-{F}(V16,V15), P_implies-{F}(V8,V16,V17), P_implies-{F}(V0,V17,V18), P_implies-{F}(V0,V15,V19), P_not-{F}(V18,V20), P_implies-{F}(V3,V20,V15), P_implies-{F}(V7,V18,V21), P_implies-{F}(V21,V18,V17), P_not-{F}(V22,V23), P_big_V-{F}(V23,V24,V15), P_not-{F}(V25,V24) | P_implies-{T}(V18,V7,V19)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #664: mergings( V3 == V4, V4 == V5, V5 == V6; #654 ), references = 1, size of lhs = 11:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V6), P_not-{F}(V3,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V6,V2), P_implies-{F}(V7,V5,V9), P_implies-{F}(V9,V5,V4), P_big_V-{F}(V2,V7,V10) | P_implies-{T}(V5,V7,V10)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #668: mergings( V3 == V4, V4 == V5, V5 == V6; #655 ), references = 1, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V6), P_not-{F}(V3,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V6,V2), P_implies-{F}(V7,V5,V9), P_implies-{F}(V9,V5,V4), P_implies-{F}(V7,V2,V10), P_implies-{F}(V10,V2,V11) | P_implies-{T}(V5,V7,V11)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #728: mergings( V0 == V10, V10 == V11, V11 == V12, V18 == V30, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V12, V12 == V9, V13 == V15, V19 == V21, V21 == V23; #711 ), references = 1, size of lhs = 42:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V1), P_implies-{F}(V0,V5,V4), P_implies-{F}(V0,V2,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V6), P_not-{F}(V6,V10), P_implies-{F}(V0,V10,V11), P_implies-{F}(V11,V0,V0), P_not-{F}(V12,V11), P_implies-{F}(V0,V12,V13), P_implies-{F}(V0,V13,V6), P_implies-{F}(V0,V11,V14), V4 == V14, P_implies-{F}(V0,V15,V6), P_not-{F}(V15,V16), P_implies-{F}(V16,V0,V0), P_implies-{F}(V17,V6,V0), P_not-{F}(V18,V17), P_big_hat-{F}(V18,V9,V19), P_implies-{F}(V19,V20,V0), P_implies-{F}(V20,V19,V0), P_not-{F}(V21,V20), P_implies-{F}(V0,V21,V22), P_implies-{F}(V22,V6,V23), P_implies-{F}(V23,V6,V13), P_not-{F}(V24,V25), P_big_V-{F}(V25,V26,V2), P_not-{F}(V27,V26), P_not-{F}(V28,V29), P_big_V-{F}(V29,V30,V11), P_not-{F}(V31,V30) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #745: mergings( V0 == V11, V11 == V12, V12 == V13, V19 == V31, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13, V13 == V10, V14 == V16, V20 == V22, V22 == V24; #712 ), references = 1, size of lhs = 42:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V1), P_implies-{F}(V0,V5,V4), P_implies-{F}(V0,V2,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V6), P_not-{F}(V6,V10), P_implies-{F}(V0,V10,V11), P_implies-{F}(V11,V0,V0), P_not-{F}(V12,V11), P_implies-{F}(V0,V12,V13), P_implies-{F}(V0,V13,V6), P_implies-{F}(V0,V11,V14), V4 == V14, P_implies-{F}(V0,V15,V6), P_not-{F}(V15,V16), P_implies-{F}(V16,V0,V0), P_implies-{F}(V17,V6,V0), P_not-{F}(V18,V17), P_big_hat-{F}(V18,V9,V19), P_implies-{F}(V19,V20,V0), P_implies-{F}(V20,V19,V0), P_not-{F}(V21,V20), P_implies-{F}(V0,V21,V22), P_implies-{F}(V22,V6,V23), P_implies-{F}(V23,V6,V13), P_not-{F}(V24,V25), P_big_V-{F}(V25,V26,V2), P_not-{F}(V27,V26), P_not-{F}(V28,V29), P_big_V-{F}(V29,V30,V11), P_not-{F}(V31,V30) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #776: mergings( V10 == V12, V12 == V13, V19 == V26, V20 == V24, V24 == V25, V25 == V27, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13, V13 == V11, V14 == V16, V27 == V22, V22 == V31, V29 == V30; #756 ), references = 6, size of lhs = 24:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V1), P_implies-{F}(V0,V5,V4), P_implies-{F}(V0,V2,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_implies-{F}(V6,V6,V9), P_implies-{F}(V9,V6,V6), P_not-{F}(V10,V6), P_implies-{F}(V11,V6,V0), P_big_V-{F}(V11,V6,V6), P_not-{F}(V12,V11), P_not-{F}(V13,V14), P_big_V-{F}(V14,V15,V2), P_not-{F}(V16,V15) | P_big_hat-{T}(V12,V10,V4)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #796: mergings( V11 == V13, V13 == V14, V20 == V27, V21 == V25, V25 == V26, V26 == V28, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V12, V15 == V17, V28 == V23, V23 == V32, V30 == V31; #757 ), references = 1, size of lhs = 24:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V1), P_implies-{F}(V0,V5,V4), P_implies-{F}(V0,V2,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_implies-{F}(V6,V6,V9), P_implies-{F}(V9,V6,V6), P_not-{F}(V10,V6), P_implies-{F}(V11,V6,V0), P_big_V-{F}(V11,V6,V6), P_not-{F}(V12,V11), P_not-{F}(V13,V14), P_big_V-{F}(V14,V15,V2), P_not-{F}(V16,V15) | P_big_hat-{T}(V12,V10,V4)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #810: mergings( V2 == V3, V3 == V4; #807 ), references = 1, size of lhs = 8:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_x-{F}(V0), P_implies-{F}(V0,V0,V0), P_y-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V1) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #817: mergings( V1 == V2, V2 == V3; #814 ), references = 1, size of lhs = 4:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_x-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #820: exists( #13, #307 ), references = 1, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_implies-{F}(V11,V8,V0), P_not-{F}(V12,V11), P_big_hat-{F}(V12,V9,V13) | P_big_hat-{T}(V10,V1,V13)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #831: mergings( V2 == V3, V3 == V4; #828 ), references = 1, size of lhs = 6:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V0,V1,V1) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #844: mergings( V2 == V3, V3 == V4, V4 == V5; #840 ), references = 2, size of lhs = 9:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V1,V4,V0) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #848: exists( #13, #307 ), references = 1, size of lhs = 12:
% 18.80/19.01 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_implies-{F}(V11,V8,V0), P_not-{F}(V12,V11), P_big_hat-{F}(V12,V9,V13) | P_big_hat-{T}(V10,V1,V13)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #864: mergings( V0 == V6, V2 == V6, V6 == V3, V3 == V4; #859 ), references = 1, size of lhs = 7:
% 18.80/19.01 P_y-{F}(V0), P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #866: exists( #9, #605 ), references = 1, size of lhs = 24:
% 18.80/19.01 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V0,V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_not-{F}(V7,V3), P_implies-{F}(V8,V3,V0), P_not-{F}(V9,V8), P_big_hat-{F}(V9,V6,V10), P_implies-{F}(V11,V3,V0), P_implies-{F}(V0,V12,V11), P_not-{F}(V12,V13), P_implies-{F}(V10,V13,V0), P_implies-{F}(V13,V10,V0), P_implies-{F}(V14,V2,V3), P_not-{F}(V15,V16), P_big_V-{F}(V16,V17,V14), P_not-{F}(V18,V17), P_implies-{F}(V19,V7,V20), P_implies-{F}(V19,V14,V21), P_implies-{F}(V0,V21,V22) | P_implies-{T}(V20,V22,V0)
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #901: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V12, V9 == V13, V10 == V11; #892 ), references = 2, size of lhs = 9:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_big_V-{F}(V3,V4,V5), P_implies-{F}(V0,V5,V5) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #906: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #893 ), references = 1, size of lhs = 13:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V8), P_big_V-{F}(V8,V9,V6), P_not-{F}(V10,V9) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #912: exists( #12, #910 ), references = 1, size of lhs = 7:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3), P_not-{F}(V2,V4) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #914: exists( #11, #911 ), references = 1, size of lhs = 6:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V1,V3) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #916: exists( #11, #913 ), references = 1, size of lhs = 5:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #918: exists( #15, #915 ), references = 1, size of lhs = 4:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #920: exists( #14, #917 ), references = 1, size of lhs = 3:
% 18.80/19.01 P_truth-{F}(V0), P_big_V-{F}(V0,V0,V0), P_implies-{F}(V0,V0,V0) | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 #924: exists( #10, #922 ), references = 1, size of lhs = 0:
% 18.80/19.01 FALSE | FALSE
% 18.80/19.01 (used 0 times, uses = {})
% 18.80/19.01
% 18.80/19.01 number of learnt formulas = 63
% 18.80/19.01
% 18.80/19.01
% 18.80/19.01 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.80/19.01
% 18.80/19.01 randbase = 1
%------------------------------------------------------------------------------