%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 : Tue May 5 07:01:14 PM UTC 2026
% Result : Unsatisfiable 0.74s 0.96s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 11:29:40 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.74/0.96 GeoParameters:
% 0.74/0.96
% 0.74/0.96 tptp_input = 1
% 0.74/0.96 tptp_output = 0
% 0.74/0.96 nonempty = 1
% 0.74/0.96 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.96 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.74/0.96
% 0.74/0.96
% 0.74/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.96
% 0.74/0.96 RuleSystem INPUT:
% 0.74/0.96
% 0.74/0.96 Initial Rules:
% 0.74/0.96 #0: input, references = 4, size of lhs = 3:
% 0.74/0.96 P_z-{F}(V0), P_x2-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #1: input, references = 5, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_s-{F}(V2,V3), P_x2-{F}(V3,V1,V4), P_x2-{F}(V2,V1,V5), P_s-{F}(V5,V6), V4 == V6 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #2: input, references = 4, size of lhs = 3:
% 0.74/0.96 P_z-{F}(V0), P_x22-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #3: input, references = 5, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_s-{F}(V2,V3), P_x22-{F}(V3,V1,V4), P_x22-{F}(V2,V1,V5), P_x2-{F}(V1,V5,V6), V4 == V6 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #4: input, references = 5, size of lhs = 5:
% 0.74/0.96 P_z-{F}(V0), P_mul_idem-{F}(V1,V2), P_x22-{F}(V1,V1,V3), P_eq-{F}(V3,V1,V4), V2 == V4 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #5: input, references = 4, size of lhs = 5:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), V3 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #6: input, references = 4, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), V4 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #7: input, references = 5, size of lhs = 10:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V6,V7), P_s-{F}(V5,V8), P_eq-{F}(V7,V8,V9), P_eq-{F}(V6,V5,V10), V9 == V10 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #8: input, references = 4, size of lhs = 8:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V5,V6), P_eq-{F}(V0,V6,V7), V7 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #9: input, references = 5, size of lhs = 8:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V5,V6), P_eq-{F}(V6,V0,V7), V7 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #10: input, references = 5, size of lhs = 7:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_eq-{F}(V5,V5,V6), V6 == V2 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #11: input, references = 5, size of lhs = 7:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_eq2-{F}(V5,V5,V6), V6 == V2 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #12: input, references = 4, size of lhs = 7:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_mul_idem-{F}(V5,V6), P_eq2-{F}(V6,V1,V2) | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #13: input, references = 7, size of lhs = 2:
% 0.74/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_x2-{T}(V0,V1,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #14: input, references = 4, size of lhs = 0:
% 0.74/0.96 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #15: input, references = 7, size of lhs = 1:
% 0.74/0.96 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #16: input, references = 5, size of lhs = 2:
% 0.74/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_x22-{T}(V0,V1,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #17: input, references = 5, size of lhs = 1:
% 0.74/0.96 #-{F} V0 | EXISTS V1: P_mul_idem-{T}(V0,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #18: input, references = 10, size of lhs = 2:
% 0.74/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq-{T}(V0,V1,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #19: input, references = 7, size of lhs = 2:
% 0.74/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq2-{T}(V0,V1,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #20: input, references = 4, size of lhs = 0:
% 0.74/0.96 FALSE | EXISTS V0: P_bfalse-{T}(V0)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #21: input, references = 4, size of lhs = 0:
% 0.74/0.96 FALSE | EXISTS V0: P_btrue-{T}(V0)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 number of initial rules = 22
% 0.74/0.96
% 0.74/0.96 Simplifiers:
% 0.74/0.96 #22: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_x2-{F}(V0,V1,V2), P_x2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #23: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #24: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #25: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_x22-{F}(V0,V1,V2), P_x22-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #26: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_mul_idem-{F}(V0,V1), P_mul_idem-{F}(V0,V3), V1 == V3 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #27: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_eq-{F}(V0,V1,V2), P_eq-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #28: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_eq2-{F}(V0,V1,V2), P_eq2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #29: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_bfalse-{F}(V0), P_bfalse-{F}(V1), V0 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #30: unsound, references = 3, size of lhs = 3:
% 0.74/0.96 P_btrue-{F}(V0), P_btrue-{F}(V1), V0 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 number of simplifiers = 9
% 0.74/0.96
% 0.74/0.96 Learnt:
% 0.74/0.96 #32: exists( #13, #0 ), references = 3, size of lhs = 2:
% 0.74/0.96 P_z-{F}(V0), #-{F} V1 | P_x2-{T}(V0,V1,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #34: exists( #13, #3 ), references = 1, size of lhs = 4:
% 0.74/0.96 P_z-{F}(V0), P_s-{F}(V1,V2), P_x22-{F}(V2,V3,V4), P_x22-{F}(V1,V3,V5) | P_x2-{T}(V3,V5,V4)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #36: exists( #15, #1 ), references = 2, size of lhs = 4:
% 0.74/0.96 P_z-{F}(V0), P_s-{F}(V1,V2), P_x2-{F}(V2,V3,V4), P_x2-{F}(V1,V3,V5) | P_s-{T}(V5,V4)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #38: exists( #16, #2 ), references = 2, size of lhs = 2:
% 0.74/0.96 P_z-{F}(V0), #-{F} V1 | P_x22-{T}(V0,V1,V0)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #42: exists( #19, #5 ), references = 2, size of lhs = 3:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2) | P_eq2-{T}(V1,V2,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #44: exists( #19, #11 ), references = 2, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), #-{F} V5 | P_eq2-{T}(V5,V5,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #46: exists( #18, #9 ), references = 1, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V5,V6) | P_eq-{T}(V6,V0,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #48: exists( #18, #10 ), references = 1, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), #-{F} V5 | P_eq-{T}(V5,V5,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #50: exists( #17, #4 ), references = 1, size of lhs = 3:
% 0.74/0.96 P_z-{F}(V0), P_x22-{F}(V1,V1,V2), P_eq-{F}(V2,V1,V3) | P_mul_idem-{T}(V1,V3)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #55: exists( #18, #4 ), references = 2, size of lhs = 3:
% 0.74/0.96 P_z-{F}(V0), P_mul_idem-{F}(V1,V2), P_x22-{F}(V1,V1,V3) | P_eq-{T}(V3,V1,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #59: exists( #19, #10 ), references = 1, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq-{F}(V4,V4,V5), V5 == V2 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #60: exists( #19, #8 ), references = 2, size of lhs = 7:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_s-{F}(V4,V5), P_eq-{F}(V0,V5,V6), V6 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #61: exists( #19, #9 ), references = 2, size of lhs = 7:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_s-{F}(V4,V5), P_eq-{F}(V5,V0,V6), V6 == V1 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #63: exists( #18, #56 ), references = 1, size of lhs = 5:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), #-{F} V4 | P_eq-{T}(V4,V4,V2)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #68: exists( #13, #1 ), references = 4, size of lhs = 4:
% 0.74/0.96 P_z-{F}(V0), P_s-{F}(V1,V2), P_x2-{F}(V1,V3,V4), P_s-{F}(V4,V5) | P_x2-{T}(V2,V3,V5)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #72: exists( #18, #60 ), references = 1, size of lhs = 5:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_s-{F}(V4,V5) | P_eq-{T}(V0,V5,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #74: exists( #18, #61 ), references = 2, size of lhs = 5:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_s-{F}(V4,V5) | P_eq-{T}(V5,V0,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #76: exists( #16, #3 ), references = 3, size of lhs = 4:
% 0.74/0.96 P_z-{F}(V0), P_s-{F}(V1,V2), P_x22-{F}(V1,V3,V4), P_x2-{F}(V3,V4,V5) | P_x22-{T}(V2,V3,V5)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #82: exists( #19, #6 ), references = 1, size of lhs = 4:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3) | P_eq2-{T}(V2,V1,V1)
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #83: exists( #19, #11 ), references = 1, size of lhs = 6:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V4,V4,V5), V5 == V2 | FALSE
% 0.74/0.96 (used 0 times, uses = {})
% 0.74/0.96
% 0.74/0.96 #94: exists( #18, #7 ), references = 2, size of lhs = 8:
% 0.74/0.96 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V5,V6), P_s-{F}(V7,V8), P_eq-{F}(V5,V7,V9) | P_eq-{T}(V6,V8,V9)
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #108: mergings( V3 == V4, V4 == V5, V5 == V6; #104 ), references = 1, size of lhs = 13:
% 0.74/0.97 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V5,V6), P_x22-{F}(V5,V6,V7), P_mul_idem-{F}(V6,V8), P_s-{F}(V9,V6), P_s-{F}(V10,V6), P_x2-{F}(V10,V7,V11), P_eq-{F}(V11,V9,V12), V8 == V12 | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #113: mergings( V2 == V3, V3 == V4, V4 == V5; #109 ), references = 1, size of lhs = 11:
% 0.74/0.97 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V5,V6), P_x22-{F}(V5,V6,V7), P_s-{F}(V8,V6), P_s-{F}(V9,V6), P_x2-{F}(V9,V7,V10), P_eq-{F}(V10,V8,V11) | P_mul_idem-{T}(V6,V11)
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #132: mergings( V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V16, V4 == V12, V12 == V17, V5 == V13, V6 == V14, V7 == V15, V13 == V18, V14 == V19, V15 == V20; #117 ), references = 1, size of lhs = 14:
% 0.74/0.97 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_eq2-{F}(V5,V1,V2), P_s-{F}(V6,V7), P_s-{F}(V7,V8), P_s-{F}(V9,V8), P_x22-{F}(V9,V8,V10), P_x2-{F}(V6,V10,V11), P_eq-{F}(V11,V12,V5), P_s-{F}(V12,V13), P_s-{F}(V13,V8) | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #161: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V24, V7 == V12, V12 == V20, V20 == V25, V8 == V13, V9 == V14, V13 == V21, V14 == V22, V15 == V23, V21 == V26, V22 == V27, V23 == V28; #138 ), references = 1, size of lhs = 8:
% 0.74/0.97 P_z-{F}(V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V1,V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4), P_s-{F}(V0,V5), P_x2-{F}(V5,V0,V5) | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #185: mergings( V2 == V3, V3 == V4, V4 == V0, V0 == V8, V8 == V9, V9 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V22, V5 == V10, V10 == V18, V18 == V23, V6 == V11, V7 == V12, V11 == V19, V12 == V20, V13 == V21, V19 == V24, V20 == V25, V21 == V26; #163 ), references = 1, size of lhs = 7:
% 0.74/0.97 P_z-{F}(V0), P_x2-{F}(V0,V0,V0), P_bfalse-{F}(V1), P_btrue-{F}(V2), P_eq2-{F}(V1,V1,V2), P_eq2-{F}(V1,V2,V3), P_eq2-{F}(V2,V1,V4) | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #203: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #189 ), references = 1, size of lhs = 3:
% 0.74/0.97 P_z-{F}(V0), P_x2-{F}(V0,V0,V0), P_bfalse-{F}(V1) | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #218: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #204 ), references = 1, size of lhs = 2:
% 0.74/0.97 P_z-{F}(V0), P_x2-{F}(V0,V0,V0) | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 #221: exists( #14, #219 ), references = 1, size of lhs = 0:
% 0.74/0.97 FALSE | FALSE
% 0.74/0.97 (used 0 times, uses = {})
% 0.74/0.97
% 0.74/0.97 number of learnt formulas = 29
% 0.74/0.97
% 0.74/0.97
% 0.74/0.97 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.97
% 0.74/0.97 randbase = 1
%------------------------------------------------------------------------------