%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 05:57:11 EDT 2022
% Result : Unsatisfiable 54.91s 55.11s
% Output : Refutation 54.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 10:44:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 54.91/55.11 GeoParameters:
% 54.91/55.11
% 54.91/55.11 tptp_input = 1
% 54.91/55.11 tptp_output = 0
% 54.91/55.11 nonempty = 1
% 54.91/55.11 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.91/55.11 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 54.91/55.11
% 54.91/55.11
% 54.91/55.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.91/55.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.91/55.11
% 54.91/55.11 RuleSystem INPUT:
% 54.91/55.11
% 54.91/55.11 Initial Rules:
% 54.91/55.11 #0: input, references = 5, size of lhs = 2:
% 54.91/55.11 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #1: input, references = 6, size of lhs = 2:
% 54.91/55.11 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #2: input, references = 4, size of lhs = 8:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V3), P_sorti1-{F}(V2,V4), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), P_ifeq-{F}(V3,V0,V7,V0,V8), V8 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #3: input, references = 5, size of lhs = 8:
% 54.91/55.11 P_true-{F}(V0), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V2,V4), P_op2-{F}(V2,V1,V5), P_sorti2-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), P_ifeq-{F}(V3,V0,V7,V0,V8), V8 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #4: input, references = 4, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V2), P_sK2_ax3_V-{F}(V1,V3), P_sorti1-{F}(V3,V4), P_ifeq-{F}(V2,V0,V4,V0,V5), V5 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #5: input, references = 4, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V2), P_sK2_ax3_V-{F}(V1,V3), P_op1-{F}(V3,V3,V4), P_ifeq2-{F}(V2,V0,V4,V1,V5), V5 == V1 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #6: input, references = 5, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_op2-{F}(V3,V3,V4), P_sorti2-{F}(V3,V5), P_tuple-{F}(V4,V5,V2) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #7: input, references = 4, size of lhs = 5:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), V3 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #8: input, references = 5, size of lhs = 9:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V5), P_h-{F}(V4,V6), P_sorti2-{F}(V6,V7), P_ifeq-{F}(V5,V0,V7,V0,V8), V8 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #9: input, references = 8, size of lhs = 14:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V6), P_sorti1-{F}(V5,V7), P_h-{F}(V5,V8), P_h-{F}(V4,V9), P_op2-{F}(V8,V9,V10), P_op1-{F}(V5,V4,V11), P_h-{F}(V11,V12), P_ifeq2-{F}(V7,V0,V10,V12,V13), P_ifeq2-{F}(V6,V0,V13,V12,V14), V14 == V12 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #10: input, references = 4, size of lhs = 9:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V5), P_h-{F}(V4,V6), P_j-{F}(V6,V7), P_ifeq2-{F}(V5,V0,V7,V4,V8), V8 == V4 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #11: input, references = 4, size of lhs = 9:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V4,V5), P_j-{F}(V4,V6), P_sorti1-{F}(V6,V7), P_ifeq-{F}(V5,V0,V7,V0,V8), V8 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #12: input, references = 4, size of lhs = 14:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V4,V6), P_sorti2-{F}(V5,V7), P_j-{F}(V5,V8), P_j-{F}(V4,V9), P_op1-{F}(V8,V9,V10), P_op2-{F}(V5,V4,V11), P_j-{F}(V11,V12), P_ifeq2-{F}(V7,V0,V10,V12,V13), P_ifeq2-{F}(V6,V0,V13,V12,V14), V14 == V12 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #13: input, references = 6, size of lhs = 9:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V4,V5), P_j-{F}(V4,V6), P_h-{F}(V6,V7), P_ifeq2-{F}(V5,V0,V7,V4,V8), V8 == V4 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #14: input, references = 8, size of lhs = 4:
% 54.91/55.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #15: input, references = 7, size of lhs = 4:
% 54.91/55.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #16: input, references = 5, size of lhs = 1:
% 54.91/55.11 #-{F} V0 | EXISTS V1: P_sorti1-{T}(V0,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #17: input, references = 4, size of lhs = 0:
% 54.91/55.11 FALSE | EXISTS V0: P_true-{T}(V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #18: input, references = 5, size of lhs = 2:
% 54.91/55.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #19: input, references = 6, size of lhs = 1:
% 54.91/55.11 #-{F} V0 | EXISTS V1: P_sorti2-{T}(V0,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #20: input, references = 5, size of lhs = 2:
% 54.91/55.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #21: input, references = 4, size of lhs = 1:
% 54.91/55.11 #-{F} V0 | EXISTS V1: P_sK2_ax3_V-{T}(V0,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #22: input, references = 8, size of lhs = 2:
% 54.91/55.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_tuple-{T}(V0,V1,V2)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #23: input, references = 4, size of lhs = 0:
% 54.91/55.11 FALSE | EXISTS V0: P_sK1_ax4_U-{T}(V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #24: input, references = 6, size of lhs = 1:
% 54.91/55.11 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #25: input, references = 4, size of lhs = 1:
% 54.91/55.11 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 number of initial rules = 26
% 54.91/55.11
% 54.91/55.11 Simplifiers:
% 54.91/55.11 #26: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #27: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #28: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_sorti1-{F}(V0,V1), P_sorti1-{F}(V0,V3), V1 == V3 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #29: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #30: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #31: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_sorti2-{F}(V0,V1), P_sorti2-{F}(V0,V3), V1 == V3 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #32: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #33: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_sK2_ax3_V-{F}(V0,V1), P_sK2_ax3_V-{F}(V0,V3), V1 == V3 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #34: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_tuple-{F}(V0,V1,V2), P_tuple-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #35: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_sK1_ax4_U-{F}(V0), P_sK1_ax4_U-{F}(V1), V0 == V1 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #36: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #37: unsound, references = 3, size of lhs = 3:
% 54.91/55.11 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 number of simplifiers = 12
% 54.91/55.11
% 54.91/55.11 Learnt:
% 54.91/55.11 #39: exists( #14, #0 ), references = 10, size of lhs = 3:
% 54.91/55.11 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #41: exists( #15, #1 ), references = 3, size of lhs = 3:
% 54.91/55.11 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #45: exists( #22, #11 ), references = 2, size of lhs = 8:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti2-{F}(V3,V4), P_j-{F}(V3,V5), P_sorti1-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), V7 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #46: exists( #22, #6 ), references = 2, size of lhs = 4:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_op2-{F}(V2,V2,V1), P_sorti2-{F}(V2,V0) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #48: exists( #15, #4 ), references = 2, size of lhs = 4:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V2), P_sK2_ax3_V-{F}(V1,V3), P_sorti1-{F}(V3,V4) | P_ifeq-{T}(V2,V0,V4,V0,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #51: exists( #15, #8 ), references = 2, size of lhs = 7:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V5), P_h-{F}(V4,V6), P_sorti2-{F}(V6,V7) | P_ifeq-{T}(V5,V0,V7,V0,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #52: exists( #15, #2 ), references = 1, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V2), P_sorti1-{F}(V3,V4), P_op1-{F}(V3,V1,V5), P_sorti1-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7) | P_ifeq-{T}(V2,V0,V7,V0,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #54: exists( #14, #5 ), references = 2, size of lhs = 4:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V2), P_sK2_ax3_V-{F}(V1,V3), P_op1-{F}(V3,V3,V4) | P_ifeq2-{T}(V2,V0,V4,V1,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #57: exists( #18, #55 ), references = 1, size of lhs = 10:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V4,V0), P_sorti2-{F}(V5,V0), P_j-{F}(V5,V6), P_j-{F}(V4,V7), P_op2-{F}(V5,V4,V8), P_j-{F}(V8,V9) | P_op1-{T}(V6,V7,V9)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #60: exists( #19, #58 ), references = 1, size of lhs = 4:
% 54.91/55.11 P_true-{F}(V0), P_sorti2-{F}(V1,V0), P_sorti2-{F}(V2,V0), P_op2-{F}(V2,V1,V3) | P_sorti2-{T}(V3,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #63: exists( #18, #61 ), references = 3, size of lhs = 3:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sK2_ax3_V-{F}(V1,V2) | P_op1-{T}(V2,V2,V1)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #65: exists( #22, #8 ), references = 1, size of lhs = 8:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V4), P_h-{F}(V3,V5), P_sorti2-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), V7 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #68: exists( #22, #10 ), references = 2, size of lhs = 8:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V4), P_h-{F}(V3,V5), P_j-{F}(V5,V6), P_ifeq2-{F}(V4,V0,V6,V3,V7), V7 == V3 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #69: exists( #22, #9 ), references = 5, size of lhs = 13:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V4), P_h-{F}(V3,V5), P_sorti1-{F}(V6,V7), P_h-{F}(V6,V8), P_op2-{F}(V8,V5,V9), P_op1-{F}(V6,V3,V10), P_h-{F}(V10,V11), P_ifeq2-{F}(V7,V0,V9,V11,V12), P_ifeq2-{F}(V4,V0,V12,V11,V13), V13 == V11 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #71: exists( #15, #3 ), references = 1, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sorti2-{F}(V1,V2), P_sorti2-{F}(V3,V4), P_op2-{F}(V3,V1,V5), P_sorti2-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7) | P_ifeq-{T}(V2,V0,V7,V0,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #74: exists( #24, #72 ), references = 2, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V4,V0), P_j-{F}(V4,V5) | P_h-{T}(V5,V4)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #79: exists( #16, #75 ), references = 1, size of lhs = 5:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti2-{F}(V3,V0), P_j-{F}(V3,V4) | P_sorti1-{T}(V4,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #84: exists( #16, #82 ), references = 3, size of lhs = 3:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sK2_ax3_V-{F}(V1,V2) | P_sorti1-{T}(V2,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #89: exists( #24, #85 ), references = 4, size of lhs = 9:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V0), P_h-{F}(V3,V4), P_sorti1-{F}(V5,V0), P_h-{F}(V5,V6), P_op2-{F}(V6,V4,V7), P_op1-{F}(V5,V3,V8) | P_h-{T}(V8,V7)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #90: exists( #24, #86 ), references = 1, size of lhs = 10:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V0), P_sorti1-{F}(V5,V0), P_h-{F}(V5,V6), P_h-{F}(V4,V7), P_op2-{F}(V6,V7,V8), P_op1-{F}(V5,V4,V9) | P_h-{T}(V9,V8)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #93: exists( #14, #68 ), references = 1, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V4), P_h-{F}(V3,V5), P_j-{F}(V5,V6) | P_ifeq2-{T}(V4,V0,V6,V3,V3)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #98: exists( #14, #69 ), references = 1, size of lhs = 11:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V4), P_h-{F}(V3,V5), P_sorti1-{F}(V6,V7), P_h-{F}(V6,V8), P_op2-{F}(V8,V5,V9), P_op1-{F}(V6,V3,V10), P_h-{F}(V10,V11), P_ifeq2-{F}(V7,V0,V9,V11,V12) | P_ifeq2-{T}(V4,V0,V12,V11,V11)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #99: exists( #14, #9 ), references = 1, size of lhs = 12:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V5), P_h-{F}(V4,V6), P_sorti1-{F}(V7,V8), P_h-{F}(V7,V9), P_op2-{F}(V9,V6,V10), P_op1-{F}(V7,V4,V11), P_h-{F}(V11,V12), P_ifeq2-{F}(V8,V0,V10,V12,V13) | P_ifeq2-{T}(V5,V0,V13,V12,V12)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #111: mergings( V3 == V12, V4 == V13, V5 == V14; #106 ), references = 1, size of lhs = 14:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_h-{F}(V1,V2), P_sorti1-{F}(V3,V0), P_h-{F}(V3,V4), P_op2-{F}(V4,V2,V5), P_op1-{F}(V3,V1,V6), P_sK1_ax4_U-{F}(V7), P_sorti2-{F}(V7,V8), P_sorti1-{F}(V9,V0), P_h-{F}(V9,V10), P_sorti1-{F}(V11,V0), P_op1-{F}(V11,V9,V6), P_h-{F}(V11,V12) | P_op2-{T}(V12,V10,V5)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #115: mergings( V3 == V12, V4 == V13, V5 == V15; #107 ), references = 1, size of lhs = 15:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_h-{F}(V1,V2), P_sorti1-{F}(V3,V0), P_h-{F}(V3,V4), P_op2-{F}(V4,V2,V5), P_op1-{F}(V3,V1,V6), P_sK1_ax4_U-{F}(V7), P_tuple-{F}(V7,V0,V8), P_sorti2-{F}(V7,V9), P_sorti1-{F}(V10,V0), P_sorti1-{F}(V11,V0), P_op1-{F}(V11,V10,V6), P_h-{F}(V11,V12), P_h-{F}(V10,V13) | P_op2-{T}(V12,V13,V5)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #131: exists( #20, #125 ), references = 3, size of lhs = 9:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), P_sorti1-{F}(V3,V0), P_h-{F}(V3,V4), P_sorti1-{F}(V5,V0), P_h-{F}(V5,V6), P_op1-{F}(V5,V3,V7), P_h-{F}(V7,V8) | P_op2-{T}(V6,V4,V8)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #132: exists( #20, #126 ), references = 1, size of lhs = 10:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V0), P_sorti1-{F}(V5,V0), P_h-{F}(V5,V6), P_h-{F}(V4,V7), P_op1-{F}(V5,V4,V8), P_h-{F}(V8,V9) | P_op2-{T}(V6,V7,V9)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #136: mergings( V3 == V9, V4 == V10, V5 == V12; #130 ), references = 1, size of lhs = 11:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_h-{F}(V1,V2), P_sorti1-{F}(V3,V0), P_h-{F}(V3,V4), P_op1-{F}(V3,V1,V5), P_sK1_ax4_U-{F}(V6), P_tuple-{F}(V6,V0,V7), P_sorti2-{F}(V6,V8), P_sorti2-{F}(V9,V0), P_j-{F}(V9,V5) | P_op2-{T}(V4,V2,V9)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #156: exists( #14, #13 ), references = 1, size of lhs = 7:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V4,V5), P_j-{F}(V4,V6), P_h-{F}(V6,V7) | P_ifeq2-{T}(V5,V0,V7,V4,V4)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #185: exists( #19, #183 ), references = 1, size of lhs = 6:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_tuple-{F}(V1,V0,V2), P_sorti2-{F}(V1,V3), P_sorti1-{F}(V4,V0), P_h-{F}(V4,V5) | P_sorti2-{T}(V5,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #196: mergings( V2 == V9, V3 == V6, V6 == V7, V4 == V8; #190 ), references = 1, size of lhs = 7:
% 54.91/55.11 P_sK1_ax4_U-{F}(V0), P_sorti2-{F}(V0,V1), P_true-{F}(V2), P_sorti1-{F}(V3,V2), P_op1-{F}(V3,V3,V4), P_h-{F}(V4,V0), P_tuple-{F}(V0,V2,V5) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #203: mergings( V2 == V7, V7 == V11, V3 == V8, V4 == V10, V8 == V12, V9 == V13; #191 ), references = 1, size of lhs = 8:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_op1-{F}(V1,V1,V2), P_h-{F}(V2,V3), P_sK1_ax4_U-{F}(V4), P_sorti2-{F}(V4,V5), P_tuple-{F}(V4,V0,V6), P_tuple-{F}(V3,V0,V6) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #214: mergings( V2 == V8, V3 == V5, V5 == V6, V4 == V7; #208 ), references = 1, size of lhs = 6:
% 54.91/55.11 P_sK1_ax4_U-{F}(V0), P_h-{F}(V1,V0), P_sorti2-{F}(V0,V2), P_true-{F}(V3), P_sorti1-{F}(V1,V3), P_tuple-{F}(V0,V3,V4) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #221: mergings( V2 == V5, V5 == V10, V3 == V7, V4 == V9, V7 == V11, V8 == V12; #209 ), references = 1, size of lhs = 7:
% 54.91/55.11 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_h-{F}(V1,V2), P_sK1_ax4_U-{F}(V3), P_sorti2-{F}(V3,V4), P_tuple-{F}(V3,V0,V5), P_tuple-{F}(V2,V0,V5) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #231: mergings( V5 == V1, V1 == V3, V3 == V8, V6 == V0, V7 == V8; #225 ), references = 1, size of lhs = 5:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V0), P_j-{F}(V1,V2), P_sorti1-{F}(V2,V0) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #242: mergings( V6 == V7, V7 == V8, V2 == V4, V3 == V5, V4 == V0, V5 == V8; #234 ), references = 2, size of lhs = 3:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V0) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #244: exists( #22, #7 ), references = 1, size of lhs = 4:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1), P_sorti2-{F}(V1,V2), V2 == V0 | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #246: exists( #19, #243 ), references = 1, size of lhs = 2:
% 54.91/55.11 P_true-{F}(V0), P_sK1_ax4_U-{F}(V1) | P_sorti2-{T}(V1,V0)
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #249: exists( #23, #247 ), references = 1, size of lhs = 1:
% 54.91/55.11 P_true-{F}(V0) | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 #251: exists( #17, #248 ), references = 1, size of lhs = 0:
% 54.91/55.11 FALSE | FALSE
% 54.91/55.11 (used 0 times, uses = {})
% 54.91/55.11
% 54.91/55.11 number of learnt formulas = 40
% 54.91/55.11
% 54.91/55.11
% 54.91/55.11 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.91/55.11
% 54.91/55.11 randbase = 1
%------------------------------------------------------------------------------