TSTP Solution File: LCL109-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:08:46 EDT 2022
% Result : Unsatisfiable 45.67s 45.84s
% Output : Refutation 45.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 22:25:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 45.67/45.84 GeoParameters:
% 45.67/45.84
% 45.67/45.84 tptp_input = 1
% 45.67/45.84 tptp_output = 0
% 45.67/45.84 nonempty = 1
% 45.67/45.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.67/45.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 45.67/45.84
% 45.67/45.84
% 45.67/45.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.67/45.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.67/45.84
% 45.67/45.84 RuleSystem INPUT:
% 45.67/45.84
% 45.67/45.84 Initial Rules:
% 45.67/45.84 #0: input, references = 5, size of lhs = 4:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V1,V2), P_xor-{F}(V1,V0,V3), V2 == V3 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #1: input, references = 4, size of lhs = 4:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V1,V3), V3 == V2 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #2: input, references = 4, size of lhs = 4:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V2,V3), V3 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #3: input, references = 4, size of lhs = 4:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V0,V3), V3 == V2 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #4: input, references = 4, size of lhs = 4:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V1,V3), V3 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #5: input, references = 4, size of lhs = 5:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3), P_and_star-{F}(V3,V2,V4), V4 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #6: input, references = 5, size of lhs = 7:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V3,V4), P_xor-{F}(V2,V4,V5), P_xor-{F}(V2,V0,V6), P_xor-{F}(V6,V3,V7), V5 == V7 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #7: input, references = 7, size of lhs = 11:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V4), P_and_star-{F}(V4,V3,V5), P_xor-{F}(V5,V0,V6), P_and_star-{F}(V6,V3,V7), P_xor-{F}(V0,V3,V8), P_and_star-{F}(V8,V2,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V2,V11), V7 == V11 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #8: input, references = 4, size of lhs = 5:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V3,V4), P_xor-{F}(V3,V2,V5), V4 == V5 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #9: input, references = 7, size of lhs = 7:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V5), P_and_star-{F}(V5,V4,V6), P_and_star-{F}(V3,V4,V7), P_and_star-{F}(V2,V7,V8), V6 == V8 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #10: input, references = 4, size of lhs = 5:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4), P_and_star-{F}(V3,V2,V5), V4 == V5 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #11: input, references = 4, size of lhs = 4:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), V2 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #12: input, references = 6, size of lhs = 8:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_implies-{F}(V3,V4,V5), P_xor-{F}(V0,V4,V6), P_and_star-{F}(V3,V6,V7), P_xor-{F}(V0,V7,V8), V5 == V8 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #13: input, references = 8, size of lhs = 9:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V4,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V7,V6,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #14: input, references = 9, size of lhs = 1:
% 45.67/45.84 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #15: input, references = 7, size of lhs = 2:
% 45.67/45.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_xor-{T}(V0,V1,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #16: input, references = 4, size of lhs = 0:
% 45.67/45.84 FALSE | EXISTS V0: P_truth-{T}(V0)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #17: input, references = 4, size of lhs = 0:
% 45.67/45.84 FALSE | EXISTS V0: P_falsehood-{T}(V0)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #18: input, references = 18, size of lhs = 2:
% 45.67/45.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_and_star-{T}(V0,V1,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #19: input, references = 17, size of lhs = 2:
% 45.67/45.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #20: input, references = 4, size of lhs = 0:
% 45.67/45.84 FALSE | EXISTS V0: P_a-{T}(V0)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #21: input, references = 5, size of lhs = 0:
% 45.67/45.84 FALSE | EXISTS V0: P_b-{T}(V0)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 number of initial rules = 22
% 45.67/45.84
% 45.67/45.84 Simplifiers:
% 45.67/45.84 #22: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #23: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_xor-{F}(V0,V1,V2), P_xor-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #24: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #25: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_falsehood-{F}(V0), P_falsehood-{F}(V1), V0 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #26: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_and_star-{F}(V0,V1,V2), P_and_star-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #27: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #28: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #29: unsound, references = 3, size of lhs = 3:
% 45.67/45.84 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 number of simplifiers = 8
% 45.67/45.84
% 45.67/45.84 Learnt:
% 45.67/45.84 #31: exists( #15, #2 ), references = 1, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_xor-{T}(V2,V2,V1)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #34: exists( #14, #0 ), references = 1, size of lhs = 2:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V1,V0,V2) | P_not-{T}(V1,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #35: exists( #14, #11 ), references = 2, size of lhs = 2:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1) | P_not-{T}(V0,V1)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #38: exists( #15, #1 ), references = 8, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_xor-{T}(V2,V1,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #39: exists( #15, #0 ), references = 20, size of lhs = 2:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V1,V2) | P_xor-{T}(V1,V0,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #41: exists( #15, #8 ), references = 21, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V3,V4) | P_xor-{T}(V3,V2,V4)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #43: exists( #18, #4 ), references = 7, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_and_star-{T}(V2,V1,V1)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #47: exists( #19, #12 ), references = 8, size of lhs = 6:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_and_star-{F}(V5,V4,V6), P_xor-{F}(V0,V6,V7) | P_implies-{T}(V5,V3,V7)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #49: exists( #18, #5 ), references = 7, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3) | P_and_star-{T}(V3,V2,V1)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #56: exists( #18, #3 ), references = 5, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_and_star-{T}(V2,V0,V2)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #59: exists( #18, #10 ), references = 26, size of lhs = 3:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4) | P_and_star-{T}(V3,V2,V4)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #69: mergings( V3 == V5, V5 == V8, V7 == V10, V4 == V6, V6 == V9; #63 ), references = 3, size of lhs = 9:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_implies-{F}(V4,V3,V5), P_xor-{F}(V0,V5,V1), P_xor-{F}(V0,V1,V6), P_implies-{F}(V6,V5,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #79: mergings( V1 == V3, V3 == V6, V5 == V8, V2 == V4, V4 == V7, V10 == V11; #72 ), references = 1, size of lhs = 8:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_xor-{F}(V0,V3,V1), P_xor-{F}(V0,V1,V4), P_xor-{F}(V0,V4,V1), P_implies-{F}(V4,V4,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #93: mergings( V2 == V4, V3 == V5; #90 ), references = 12, size of lhs = 6:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_implies-{F}(V5,V3,V6), P_and_star-{F}(V5,V4,V7) | P_not-{T}(V7,V6)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #104: mergings( V3 == V5, V5 == V8, V8 == V9, V4 == V6, V6 == V10; #98 ), references = 1, size of lhs = 8:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V0,V3), P_xor-{F}(V0,V4,V5), P_and_star-{F}(V6,V5,V7), P_xor-{F}(V8,V0,V7), P_xor-{F}(V8,V3,V9) | P_implies-{T}(V6,V4,V9)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #132: mergings( V17 == V18, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V21, V18 == V23, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V19, V19 == V22; #113 ), references = 1, size of lhs = 9:
% 45.67/45.84 P_b-{F}(V0), P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V2,V0), P_not-{F}(V0,V3), P_a-{F}(V4), P_implies-{F}(V4,V0,V0), P_xor-{F}(V4,V1,V4) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #162: mergings( V2 == V5, V5 == V7, V7 == V10, V9 == V12, V3 == V4, V4 == V6, V6 == V8, V8 == V11; #152 ), references = 1, size of lhs = 8:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V3), P_xor-{F}(V0,V1,V4), P_implies-{F}(V4,V4,V5), P_implies-{F}(V5,V4,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #172: mergings( V2 == V5, V5 == V7, V7 == V10, V9 == V12, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V13 == V14; #153 ), references = 1, size of lhs = 8:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V3), P_xor-{F}(V0,V1,V4), P_xor-{F}(V0,V4,V1), P_implies-{F}(V4,V4,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #176: exists( #18, #9 ), references = 9, size of lhs = 5:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4), P_and_star-{F}(V4,V5,V6), P_and_star-{F}(V3,V5,V7) | P_and_star-{T}(V2,V7,V6)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #181: exists( #15, #6 ), references = 9, size of lhs = 5:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3), P_xor-{F}(V4,V0,V5), P_xor-{F}(V5,V2,V6) | P_xor-{T}(V4,V3,V6)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #186: mergings( V3 == V5, V4 == V6; #183 ), references = 4, size of lhs = 9:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3), P_and_star-{F}(V3,V4,V5), P_xor-{F}(V5,V0,V6), P_and_star-{F}(V6,V4,V7), P_xor-{F}(V0,V4,V8), P_and_star-{F}(V8,V2,V9), P_xor-{F}(V9,V0,V10) | P_and_star-{T}(V2,V10,V7)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #210: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V17; #198 ), references = 1, size of lhs = 18:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_xor-{F}(V0,V0,V2), P_falsehood-{F}(V3), P_xor-{F}(V4,V0,V0), P_xor-{F}(V0,V5,V6), P_and_star-{F}(V7,V6,V8), P_xor-{F}(V2,V8,V9), P_xor-{F}(V0,V10,V11), P_and_star-{F}(V11,V12,V8), P_xor-{F}(V0,V13,V12), P_xor-{F}(V0,V12,V14), P_and_star-{F}(V14,V10,V15), P_xor-{F}(V15,V0,V16), P_and_star-{F}(V16,V10,V4), P_and_star-{F}(V9,V13,V17), P_xor-{F}(V17,V0,V18), P_and_star-{F}(V18,V13,V19) | P_implies-{T}(V7,V5,V19)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #239: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V25, V17 == V27, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V26; #216 ), references = 1, size of lhs = 20:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_implies-{F}(V3,V3,V0), P_xor-{F}(V0,V3,V4), P_b-{F}(V5), P_implies-{F}(V3,V5,V5), P_xor-{F}(V0,V6,V4), P_and_star-{F}(V6,V5,V7), P_and_star-{F}(V7,V4,V8), P_xor-{F}(V0,V4,V9), P_xor-{F}(V8,V0,V10), P_and_star-{F}(V10,V6,V3), P_xor-{F}(V0,V11,V5), P_and_star-{F}(V9,V11,V12), P_xor-{F}(V12,V0,V13), P_and_star-{F}(V13,V11,V14), P_xor-{F}(V14,V0,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #266: mergings( V3 == V6, V4 == V7; #263 ), references = 3, size of lhs = 12:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V0,V6,V7), P_implies-{F}(V7,V3,V8), P_and_star-{F}(V8,V4,V9), P_and_star-{F}(V5,V6,V10), P_xor-{F}(V10,V0,V11), P_and_star-{F}(V11,V6,V12), V12 == V9 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #268: exists( #18, #266 ), references = 12, size of lhs = 10:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V0,V6,V7), P_implies-{F}(V7,V3,V8), P_and_star-{F}(V5,V6,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V6,V11) | P_and_star-{T}(V8,V4,V11)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #273: mergings( V3 == V6, V5 == V7; #270 ), references = 1, size of lhs = 14:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V0,V6,V7), P_implies-{F}(V7,V3,V8), P_and_star-{F}(V5,V6,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V6,V11), P_and_star-{F}(V12,V8,V13), P_and_star-{F}(V13,V4,V14), P_and_star-{F}(V12,V11,V15), V14 == V15 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #298: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V11; #289 ), references = 3, size of lhs = 14:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V0,V6,V7), P_implies-{F}(V7,V3,V8), P_and_star-{F}(V5,V6,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V11,V10,V12), P_and_star-{F}(V12,V6,V13), P_and_star-{F}(V11,V8,V14), P_and_star-{F}(V14,V4,V15), V15 == V13 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #305: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #290 ), references = 1, size of lhs = 18:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V5,V0,V4), P_implies-{F}(V6,V3,V7), P_xor-{F}(V0,V6,V8), P_and_star-{F}(V9,V6,V5), P_xor-{F}(V0,V10,V9), P_xor-{F}(V0,V11,V10), P_and_star-{F}(V8,V10,V12), P_xor-{F}(V12,V0,V13), P_xor-{F}(V0,V13,V14), P_and_star-{F}(V14,V11,V15), P_xor-{F}(V15,V0,V16), P_and_star-{F}(V16,V11,V17), P_and_star-{F}(V7,V13,V18), V17 == V18 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #313: mergings( V3 == V5, V5 == V8, V8 == V10, V7 == V11, V4 == V6, V6 == V9, V9 == V12; #291 ), references = 1, size of lhs = 18:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V5,V0,V4), P_implies-{F}(V6,V3,V7), P_xor-{F}(V0,V6,V8), P_and_star-{F}(V9,V6,V5), P_xor-{F}(V0,V10,V9), P_and_star-{F}(V8,V10,V11), P_xor-{F}(V11,V0,V12), P_xor-{F}(V0,V12,V13), P_and_star-{F}(V7,V12,V14), P_xor-{F}(V0,V15,V10), P_xor-{F}(V0,V16,V15), P_implies-{F}(V13,V16,V17), P_and_star-{F}(V17,V15,V18), V14 == V18 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #329: mergings( V3 == V6, V6 == V8, V4 == V9, V8 == V11, V11 == V13, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #317 ), references = 1, size of lhs = 18:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V6,V0,V4), P_xor-{F}(V0,V7,V8), P_and_star-{F}(V5,V7,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V7,V11), P_xor-{F}(V0,V12,V13), P_xor-{F}(V0,V13,V14), P_and_star-{F}(V14,V15,V6), P_xor-{F}(V0,V15,V16), P_implies-{F}(V16,V12,V4), P_and_star-{F}(V11,V15,V17), P_and_star-{F}(V11,V13,V18), V18 == V17 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #341: mergings( V3 == V6, V6 == V8, V4 == V10, V15 == V23, V8 == V11, V11 == V13, V16 == V17, V5 == V7, V7 == V9, V9 == V12, V12 == V14; #318 ), references = 1, size of lhs = 20:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V6,V0,V4), P_xor-{F}(V7,V0,V4), P_xor-{F}(V0,V8,V9), P_and_star-{F}(V5,V8,V10), P_xor-{F}(V10,V0,V11), P_and_star-{F}(V11,V8,V12), P_xor-{F}(V0,V9,V13), P_and_star-{F}(V14,V9,V7), P_xor-{F}(V0,V15,V14), P_and_star-{F}(V13,V15,V6), P_xor-{F}(V0,V16,V15), P_and_star-{F}(V5,V16,V17), P_xor-{F}(V17,V0,V18), P_and_star-{F}(V18,V16,V19), V19 == V12 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #354: mergings( V3 == V6, V6 == V8, V4 == V10, V16 == V24, V8 == V11, V11 == V13, V10 == V14, V17 == V18, V5 == V7, V7 == V9, V9 == V12, V12 == V15; #319 ), references = 1, size of lhs = 20:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V6,V0,V4), P_xor-{F}(V7,V0,V4), P_xor-{F}(V0,V8,V9), P_and_star-{F}(V5,V8,V10), P_xor-{F}(V10,V0,V11), P_and_star-{F}(V11,V8,V12), P_xor-{F}(V0,V9,V13), P_and_star-{F}(V14,V9,V7), P_xor-{F}(V0,V15,V14), P_and_star-{F}(V13,V15,V6), P_xor-{F}(V0,V16,V15), P_xor-{F}(V0,V17,V16), P_implies-{F}(V5,V17,V18), P_and_star-{F}(V18,V16,V19), V12 == V19 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #382: mergings( V15 == V17, V3 == V6, V6 == V10, V10 == V14, V5 == V17, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V18; #367 ), references = 1, size of lhs = 20:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_not-{F}(V0,V2), P_falsehood-{F}(V3), P_xor-{F}(V0,V4,V5), P_and_star-{F}(V6,V5,V7), P_xor-{F}(V1,V7,V8), P_xor-{F}(V0,V9,V10), P_xor-{F}(V0,V10,V11), P_and_star-{F}(V8,V9,V12), P_xor-{F}(V12,V0,V13), P_and_star-{F}(V13,V9,V14), P_and_star-{F}(V15,V10,V7), P_xor-{F}(V0,V16,V15), P_and_star-{F}(V11,V16,V7), P_xor-{F}(V0,V17,V16), P_and_star-{F}(V8,V17,V18), P_xor-{F}(V18,V0,V19), P_and_star-{F}(V19,V17,V20), V20 == V14 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #398: mergings( V14 == V15, V3 == V6, V6 == V10, V10 == V12, V5 == V15, V21 == V29, V12 == V17, V17 == V19, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20; #368 ), references = 1, size of lhs = 17:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_not-{F}(V0,V2), P_falsehood-{F}(V3), P_xor-{F}(V0,V4,V5), P_xor-{F}(V0,V5,V6), P_xor-{F}(V0,V7,V8), P_and_star-{F}(V6,V9,V10), P_xor-{F}(V1,V10,V11), P_and_star-{F}(V11,V7,V12), P_xor-{F}(V12,V0,V13), P_and_star-{F}(V13,V7,V14), P_xor-{F}(V0,V9,V15), P_and_star-{F}(V15,V5,V10), P_and_star-{F}(V14,V9,V16), P_and_star-{F}(V14,V5,V17), V17 == V16 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #412: mergings( V15 == V17, V17 == V18, V3 == V6, V6 == V10, V10 == V14, V5 == V18, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V19; #369 ), references = 1, size of lhs = 20:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_not-{F}(V0,V2), P_falsehood-{F}(V3), P_xor-{F}(V0,V4,V5), P_and_star-{F}(V6,V5,V7), P_xor-{F}(V1,V7,V8), P_xor-{F}(V0,V9,V10), P_xor-{F}(V0,V10,V11), P_and_star-{F}(V8,V9,V12), P_xor-{F}(V12,V0,V13), P_and_star-{F}(V13,V9,V14), P_and_star-{F}(V15,V10,V7), P_xor-{F}(V0,V16,V15), P_and_star-{F}(V11,V16,V7), P_xor-{F}(V0,V17,V16), P_xor-{F}(V0,V18,V17), P_implies-{F}(V8,V18,V19), P_and_star-{F}(V19,V17,V20), V14 == V20 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #448: mergings( V3 == V5, V5 == V8, V4 == V7, V7 == V9; #443 ), references = 1, size of lhs = 12:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_and_star-{F}(V4,V6,V2), P_xor-{F}(V0,V7,V8), P_and_star-{F}(V5,V7,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V7,V11), P_and_star-{F}(V11,V6,V12), V12 == V2 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #497: mergings( V3 == V5, V5 == V8, V6 == V9, V4 == V7, V7 == V10; #491 ), references = 1, size of lhs = 18:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V6,V0,V4), P_xor-{F}(V0,V7,V8), P_and_star-{F}(V5,V7,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V7,V11), P_xor-{F}(V0,V12,V13), P_xor-{F}(V0,V13,V14), P_and_star-{F}(V14,V15,V6), P_xor-{F}(V0,V15,V16), P_implies-{F}(V16,V12,V2), P_and_star-{F}(V11,V15,V17), P_and_star-{F}(V2,V13,V18), V18 == V17 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #544: mergings( V3 == V5, V5 == V8, V7 == V9, V8 == V11, V9 == V12, V18 == V19, V4 == V6, V6 == V10, V10 == V13; #533 ), references = 1, size of lhs = 19:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V5,V0,V4), P_implies-{F}(V6,V3,V7), P_xor-{F}(V0,V6,V8), P_and_star-{F}(V9,V6,V5), P_xor-{F}(V0,V10,V9), P_xor-{F}(V0,V11,V10), P_implies-{F}(V8,V11,V12), P_xor-{F}(V0,V13,V12), P_xor-{F}(V0,V14,V13), P_implies-{F}(V9,V14,V15), P_and_star-{F}(V16,V7,V17), P_and_star-{F}(V17,V10,V18), P_and_star-{F}(V16,V15,V19), P_and_star-{F}(V19,V13,V20), V20 == V18 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #563: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V12, V19 == V25, V10 == V13, V12 == V14, V13 == V16, V14 == V17, V28 == V31, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V18; #547 ), references = 1, size of lhs = 22:
% 45.67/45.84 P_truth-{F}(V0), P_not-{F}(V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V0,V4,V5), P_xor-{F}(V6,V0,V4), P_xor-{F}(V0,V7,V8), P_and_star-{F}(V5,V7,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V7,V11), P_xor-{F}(V0,V8,V12), P_and_star-{F}(V13,V8,V6), P_xor-{F}(V0,V14,V13), P_xor-{F}(V0,V15,V14), P_implies-{F}(V12,V15,V16), P_and_star-{F}(V11,V14,V17), P_xor-{F}(V0,V18,V16), P_xor-{F}(V0,V19,V18), P_implies-{F}(V13,V19,V20), P_and_star-{F}(V4,V20,V21), P_and_star-{F}(V21,V18,V22), V22 == V17 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #609: mergings( V3 == V5, V5 == V8, V7 == V9, V8 == V11, V11 == V13, V9 == V15, V4 == V6, V6 == V10, V10 == V12, V12 == V14; #598 ), references = 1, size of lhs = 14:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V5,V0,V4), P_implies-{F}(V6,V3,V7), P_xor-{F}(V0,V6,V8), P_and_star-{F}(V9,V6,V5), P_xor-{F}(V0,V10,V9), P_xor-{F}(V0,V11,V10), P_xor-{F}(V0,V12,V10), P_implies-{F}(V8,V11,V13), P_implies-{F}(V13,V12,V14), V14 == V7 | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #621: mergings( V3 == V5, V5 == V8, V7 == V9, V8 == V11, V11 == V13, V9 == V15, V4 == V6, V6 == V10, V10 == V12, V12 == V14; #610 ), references = 2, size of lhs = 12:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_xor-{F}(V5,V0,V4), P_implies-{F}(V6,V3,V7), P_xor-{F}(V0,V6,V8), P_and_star-{F}(V9,V6,V5), P_xor-{F}(V0,V10,V9), P_xor-{F}(V0,V11,V10), P_xor-{F}(V0,V12,V10), P_implies-{F}(V8,V11,V13) | P_implies-{T}(V13,V12,V7)
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #648: mergings( V3 == V6, V6 == V8, V4 == V10, V24 == V40, V8 == V11, V10 == V12, V34 == V36, V37 == V39, V11 == V14, V14 == V16, V12 == V18, V16 == V19, V18 == V21, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V20; #628 ), references = 1, size of lhs = 28:
% 45.67/45.84 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_implies-{F}(V3,V4,V5), P_xor-{F}(V0,V5,V6), P_implies-{F}(V4,V3,V7), P_xor-{F}(V0,V7,V8), P_xor-{F}(V0,V9,V5), P_implies-{F}(V10,V7,V0), P_xor-{F}(V0,V11,V10), P_xor-{F}(V12,V0,V5), P_xor-{F}(V0,V13,V14), P_and_star-{F}(V6,V13,V15), P_xor-{F}(V15,V0,V16), P_and_star-{F}(V16,V13,V17), P_xor-{F}(V0,V14,V18), P_and_star-{F}(V19,V14,V12), P_and_star-{F}(V17,V20,V11), P_xor-{F}(V0,V20,V19), P_xor-{F}(V0,V21,V20), P_xor-{F}(V0,V22,V20), P_implies-{F}(V18,V22,V23), P_xor-{F}(V0,V24,V23), P_and_star-{F}(V19,V24,V25), P_xor-{F}(V25,V0,V26), P_and_star-{F}(V26,V24,V8) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #684: mergings( V23 == V25, V25 == V27, V3 == V6, V6 == V11, V5 == V12, V11 == V14, V14 == V16, V12 == V18, V31 == V34, V42 == V49, V16 == V20, V20 == V22, V18 == V27, V49 == V40, V39 == V43, V22 == V28, V27 == V30, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V26, V26 == V29; #655 ), references = 1, size of lhs = 26:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V2,V0), P_not-{F}(V0,V3), P_a-{F}(V4), P_b-{F}(V5), P_implies-{F}(V4,V5,V6), P_xor-{F}(V0,V6,V7), P_xor-{F}(V0,V8,V6), P_xor-{F}(V0,V4,V9), P_xor-{F}(V0,V10,V9), P_xor-{F}(V0,V9,V11), P_and_star-{F}(V5,V9,V12), P_xor-{F}(V1,V12,V12), P_and_star-{F}(V11,V12,V13), P_xor-{F}(V13,V0,V14), P_and_star-{F}(V14,V12,V12), P_xor-{F}(V15,V0,V6), P_and_star-{F}(V16,V9,V12), P_and_star-{F}(V11,V17,V15), P_xor-{F}(V0,V17,V5), P_xor-{F}(V0,V18,V17), P_and_star-{F}(V7,V18,V19), P_xor-{F}(V19,V0,V20), P_and_star-{F}(V20,V18,V16) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #723: mergings( V22 == V24, V29 == V31, V31 == V33, V3 == V6, V6 == V9, V5 == V11, V9 == V12, V12 == V18, V18 == V20, V11 == V24, V37 == V42, V20 == V26, V26 == V28, V24 == V33, V21 == V30, V42 == V39, V40 == V41, V28 == V34, V33 == V36, V4 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V32, V32 == V35; #689 ), references = 1, size of lhs = 25:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V2,V0), P_not-{F}(V0,V3), P_a-{F}(V4), P_b-{F}(V5), P_xor-{F}(V0,V4,V6), P_xor-{F}(V0,V7,V6), P_xor-{F}(V0,V6,V8), P_and_star-{F}(V5,V6,V9), P_xor-{F}(V1,V9,V9), P_and_star-{F}(V8,V9,V10), P_xor-{F}(V10,V0,V11), P_and_star-{F}(V11,V9,V9), P_xor-{F}(V0,V5,V12), P_and_star-{F}(V4,V12,V13), P_xor-{F}(V1,V13,V14), P_and_star-{F}(V15,V6,V9), P_xor-{F}(V0,V16,V5), P_and_star-{F}(V8,V16,V13), P_xor-{F}(V0,V17,V16), P_and_star-{F}(V14,V17,V18), P_xor-{F}(V18,V0,V19), P_and_star-{F}(V19,V17,V15) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #772: mergings( V32 == V34, V39 == V40, V40 == V42, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V15 == V21, V19 == V22, V22 == V28, V28 == V30, V21 == V34, V47 == V1, V30 == V36, V36 == V38, V34 == V42, V31 == V4, V49 == V50, V38 == V43, V42 == V45, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V18, V18 == V20, V20 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V37, V37 == V41, V41 == V44; #729 ), references = 2, size of lhs = 22:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_xor-{F}(V0,V3,V5), P_xor-{F}(V0,V6,V5), P_xor-{F}(V0,V5,V7), P_xor-{F}(V0,V4,V8), P_and_star-{F}(V3,V8,V9), P_xor-{F}(V1,V9,V10), P_and_star-{F}(V7,V4,V11), P_and_star-{F}(V11,V5,V12), P_xor-{F}(V12,V0,V0), P_xor-{F}(V0,V13,V4), P_and_star-{F}(V7,V13,V9), P_xor-{F}(V0,V14,V13), P_and_star-{F}(V10,V14,V15), P_xor-{F}(V15,V0,V16), P_and_star-{F}(V16,V14,V4) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #827: mergings( V39 == V41, V46 == V47, V47 == V49, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V27, V23 == V29, V27 == V30, V30 == V36, V36 == V38, V29 == V41, V54 == V56, V38 == V43, V43 == V45, V41 == V49, V4 == V12, V0 == V57, V45 == V50, V49 == V52, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V44, V44 == V48, V48 == V51; #777 ), references = 2, size of lhs = 20:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_xor-{F}(V0,V3,V5), P_xor-{F}(V0,V5,V3), P_xor-{F}(V0,V6,V5), P_xor-{F}(V0,V4,V7), P_xor-{F}(V0,V7,V4), P_and_star-{F}(V3,V4,V8), P_and_star-{F}(V8,V5,V9), P_xor-{F}(V9,V0,V0), P_xor-{F}(V0,V10,V7), P_and_star-{F}(V10,V3,V11), P_and_star-{F}(V11,V7,V12), P_xor-{F}(V12,V0,V13), P_and_star-{F}(V13,V10,V4) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #872: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #860 ), references = 2, size of lhs = 19:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_xor-{F}(V0,V3,V5), P_xor-{F}(V0,V5,V3), P_xor-{F}(V0,V6,V5), P_xor-{F}(V0,V4,V7), P_xor-{F}(V0,V7,V4), P_and_star-{F}(V7,V4,V8), P_and_star-{F}(V8,V3,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V4,V4), P_and_star-{F}(V5,V3,V11), P_and_star-{F}(V11,V4,V12), P_xor-{F}(V12,V0,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #886: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #861 ), references = 1, size of lhs = 19:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_xor-{F}(V0,V4,V4), P_xor-{F}(V0,V3,V5), P_xor-{F}(V0,V5,V3), P_xor-{F}(V0,V6,V5), P_xor-{F}(V0,V7,V4), P_and_star-{F}(V7,V4,V8), P_and_star-{F}(V8,V3,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V7,V4), P_and_star-{F}(V5,V3,V11), P_and_star-{F}(V11,V4,V12), P_xor-{F}(V12,V0,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #903: mergings( V7 == V8, V2 == V6, V3 == V4, V4 == V5, V5 == V8; #897 ), references = 1, size of lhs = 17:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_xor-{F}(V1,V4,V4), P_xor-{F}(V0,V3,V5), P_xor-{F}(V0,V5,V3), P_xor-{F}(V0,V6,V5), P_and_star-{F}(V1,V3,V7), P_xor-{F}(V7,V0,V8), P_and_star-{F}(V8,V4,V4), P_and_star-{F}(V5,V3,V9), P_and_star-{F}(V9,V4,V10), P_xor-{F}(V10,V0,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #919: mergings( V11 == V12, V12 == V13, V2 == V6, V6 == V10, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V13; #908 ), references = 1, size of lhs = 14:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_xor-{F}(V1,V3,V3), P_b-{F}(V4), P_xor-{F}(V1,V4,V4), P_and_star-{F}(V1,V3,V5), P_xor-{F}(V5,V0,V6), P_and_star-{F}(V6,V4,V4), P_and_star-{F}(V1,V4,V7), P_xor-{F}(V7,V0,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #947: mergings( V2 == V21, V21 == V22, V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V20, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V22; #926 ), references = 2, size of lhs = 10:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V1,V0,V0), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_a-{F}(V3), P_xor-{F}(V1,V3,V3), P_and_star-{F}(V1,V3,V4), P_xor-{F}(V4,V0,V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #959: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #952 ), references = 1, size of lhs = 6:
% 45.67/45.84 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_xor-{F}(V1,V0,V0), P_not-{F}(V0,V2) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #971: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #964 ), references = 1, size of lhs = 1:
% 45.67/45.84 P_truth-{F}(V0) | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 #973: exists( #16, #964 ), references = 1, size of lhs = 0:
% 45.67/45.84 FALSE | FALSE
% 45.67/45.84 (used 0 times, uses = {})
% 45.67/45.84
% 45.67/45.84 number of learnt formulas = 54
% 45.67/45.84
% 45.67/45.84
% 45.67/45.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.67/45.84
% 45.67/45.84 randbase = 1
%------------------------------------------------------------------------------