%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN010-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:04:44 EDT 2022
% Result : Unsatisfiable 10.86s 11.09s
% Output : Refutation 10.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN010-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.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 20:59:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 10.86/11.09 GeoParameters:
% 10.86/11.09
% 10.86/11.09 tptp_input = 1
% 10.86/11.09 tptp_output = 0
% 10.86/11.09 nonempty = 1
% 10.86/11.09 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.86/11.09 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.86/11.09
% 10.86/11.09
% 10.86/11.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.86/11.09 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.86/11.09
% 10.86/11.09 RuleSystem INPUT:
% 10.86/11.09
% 10.86/11.09 Initial Rules:
% 10.86/11.09 #0: input, references = 4, size of lhs = 2:
% 10.86/11.09 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #1: input, references = 5, size of lhs = 2:
% 10.86/11.09 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #2: input, references = 3, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_less_equal-{F}(V2,V3,V4), P_quotient-{F}(V2,V3,V1,V5), P_ifeq-{F}(V4,V0,V5,V0,V6), V6 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #3: input, references = 3, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_quotient-{F}(V2,V3,V1,V4), P_less_equal-{F}(V2,V3,V5), P_ifeq-{F}(V4,V0,V5,V0,V6), V6 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #4: input, references = 4, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_quotient-{F}(V2,V3,V4,V5), P_less_equal-{F}(V4,V2,V6), P_ifeq-{F}(V5,V0,V6,V0,V7), V7 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #5: input, references = 4, size of lhs = 14:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_quotient-{F}(V5,V6,V7,V10), P_quotient-{F}(V8,V4,V9,V11), P_quotient-{F}(V3,V4,V6,V12), P_quotient-{F}(V2,V4,V5,V13), P_quotient-{F}(V2,V3,V8,V14), P_less_equal-{F}(V7,V9,V15), P_ifeq-{F}(V14,V0,V15,V0,V16), P_ifeq-{F}(V13,V0,V16,V0,V17), P_ifeq-{F}(V12,V0,V17,V0,V18), P_ifeq-{F}(V11,V0,V18,V0,V19), P_ifeq-{F}(V10,V0,V19,V0,V20), V20 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #6: input, references = 4, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_less_equal-{F}(V1,V2,V3), V3 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #7: input, references = 7, size of lhs = 7:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_less_equal-{F}(V3,V2,V4), P_less_equal-{F}(V2,V3,V5), P_ifeq2-{F}(V5,V0,V2,V3,V6), P_ifeq2-{F}(V4,V0,V6,V3,V7), V7 == V3 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #8: input, references = 4, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_less_equal-{F}(V3,V2,V4), V4 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #9: input, references = 4, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_divide-{F}(V3,V4,V5), P_quotient-{F}(V3,V4,V5,V6), V6 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #10: input, references = 9, size of lhs = 8:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V4,V6,V7), P_quotient-{F}(V3,V4,V5,V8), P_ifeq2-{F}(V8,V0,V5,V6,V9), P_ifeq2-{F}(V7,V0,V9,V6,V10), V10 == V6 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #11: input, references = 3, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V2,V1,V4), V4 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #12: input, references = 4, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V1,V3,V1,V4), V4 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #13: input, references = 4, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V3,V1,V4), V4 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #14: input, references = 4, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V1,V3,V4), V4 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #15: input, references = 3, size of lhs = 9:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_less_equal-{F}(V4,V5,V6), P_less_equal-{F}(V3,V4,V7), P_less_equal-{F}(V3,V5,V8), P_ifeq-{F}(V7,V0,V8,V0,V9), P_ifeq-{F}(V6,V0,V9,V0,V10), V10 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #16: input, references = 4, size of lhs = 11:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V5,V6,V8), P_quotient-{F}(V3,V4,V7,V9), P_less_equal-{F}(V7,V5,V10), P_less_equal-{F}(V6,V4,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), P_ifeq-{F}(V9,V0,V12,V0,V13), P_ifeq-{F}(V8,V0,V13,V0,V14), V14 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #17: input, references = 4, size of lhs = 11:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V5,V4,V7,V8), P_quotient-{F}(V5,V3,V6,V9), P_less_equal-{F}(V3,V4,V10), P_less_equal-{F}(V7,V6,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), P_ifeq-{F}(V9,V0,V12,V0,V13), P_ifeq-{F}(V8,V0,V13,V0,V14), V14 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #18: input, references = 5, size of lhs = 11:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V4,V5,V6,V8), P_quotient-{F}(V3,V5,V7,V9), P_less_equal-{F}(V3,V4,V10), P_less_equal-{F}(V7,V6,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), P_ifeq-{F}(V9,V0,V12,V0,V13), P_ifeq-{F}(V8,V0,V13,V0,V14), V14 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #19: input, references = 4, size of lhs = 7:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_quotient-{F}(V2,V3,V4,V5), V5 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #20: input, references = 4, size of lhs = 9:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_quotient-{F}(V2,V3,V4,V5), P_idQ_idQa-{F}(V6), P_quotient-{F}(V2,V4,V6,V7), V7 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #21: input, references = 4, size of lhs = 11:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_quotient-{F}(V2,V3,V4,V5), P_idQ_idQa-{F}(V6), P_quotient-{F}(V2,V4,V6,V7), P_idQa_Q__idQ_idQa-{F}(V8), P_quotient-{F}(V4,V6,V8,V9), V9 == V0 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #22: input, references = 4, size of lhs = 10:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V8), P_quotient-{F}(V2,V3,V8,V5), P_idQ_idQa-{F}(V6), P_quotient-{F}(V2,V8,V6,V7), P_idQa_Q__idQ_idQa-{F}(V8), P_quotient-{F}(V8,V6,V8,V9) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #23: input, references = 6, size of lhs = 4:
% 10.86/11.09 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #24: input, references = 5, size of lhs = 4:
% 10.86/11.09 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #25: input, references = 8, size of lhs = 2:
% 10.86/11.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_less_equal-{T}(V0,V1,V2)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #26: input, references = 4, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_true-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #27: input, references = 9, size of lhs = 3:
% 10.86/11.09 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_quotient-{T}(V0,V1,V2,V3)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #28: input, references = 4, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_zero-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #29: input, references = 4, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_identity-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #30: input, references = 6, size of lhs = 2:
% 10.86/11.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #31: input, references = 4, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_a-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #32: input, references = 5, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_idQa-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #33: input, references = 5, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_idQ_idQa-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #34: input, references = 6, size of lhs = 0:
% 10.86/11.09 FALSE | EXISTS V0: P_idQa_Q__idQ_idQa-{T}(V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 number of initial rules = 35
% 10.86/11.09
% 10.86/11.09 Simplifiers:
% 10.86/11.09 #35: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #36: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #37: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_less_equal-{F}(V0,V1,V2), P_less_equal-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #38: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #39: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_quotient-{F}(V0,V1,V2,V3), P_quotient-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #40: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #41: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #42: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #43: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #44: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_idQa-{F}(V0), P_idQa-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #45: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_idQ_idQa-{F}(V0), P_idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #46: unsound, references = 3, size of lhs = 3:
% 10.86/11.09 P_idQa_Q__idQ_idQa-{F}(V0), P_idQa_Q__idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 number of simplifiers = 12
% 10.86/11.09
% 10.86/11.09 Learnt:
% 10.86/11.09 #48: exists( #23, #0 ), references = 10, size of lhs = 3:
% 10.86/11.09 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #50: exists( #25, #6 ), references = 2, size of lhs = 3:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_less_equal-{T}(V1,V2,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #54: exists( #27, #12 ), references = 1, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), #-{F} V3 | P_quotient-{T}(V1,V3,V1,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #55: exists( #27, #13 ), references = 2, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), #-{F} V3 | P_quotient-{T}(V3,V3,V1,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #56: exists( #27, #14 ), references = 2, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), #-{F} V3 | P_quotient-{T}(V3,V1,V3,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #58: exists( #24, #1 ), references = 5, size of lhs = 3:
% 10.86/11.09 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #60: exists( #25, #8 ), references = 1, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), #-{F} V3 | P_less_equal-{T}(V3,V2,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #63: exists( #27, #9 ), references = 5, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_divide-{F}(V3,V4,V5) | P_quotient-{T}(V3,V4,V5,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #70: mergings( V3 == V6, V4 == V7; #67 ), references = 1, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V4,V5,V0) | P_divide-{T}(V3,V4,V5)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #72: exists( #23, #10 ), references = 1, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V4,V5,V6), P_quotient-{F}(V3,V4,V7,V8), P_ifeq2-{F}(V8,V0,V7,V5,V9) | P_ifeq2-{T}(V6,V0,V9,V5,V5)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #79: exists( #24, #18 ), references = 1, size of lhs = 9:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_less_equal-{F}(V3,V4,V5), P_ifeq-{F}(V5,V0,V6,V0,V7), P_less_equal-{F}(V8,V9,V6), P_quotient-{F}(V4,V10,V9,V11), P_quotient-{F}(V3,V10,V8,V12), P_ifeq-{F}(V12,V0,V7,V0,V13) | P_ifeq-{T}(V11,V0,V13,V0,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #80: exists( #24, #4 ), references = 2, size of lhs = 4:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_less_equal-{F}(V2,V3,V4), P_quotient-{F}(V3,V5,V2,V6) | P_ifeq-{T}(V6,V0,V4,V0,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #86: exists( #27, #19 ), references = 3, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4) | P_quotient-{T}(V2,V3,V4,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #89: exists( #27, #22 ), references = 2, size of lhs = 9:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_idQa_Q__idQ_idQa-{F}(V4), P_quotient-{F}(V2,V3,V4,V5), P_idQ_idQa-{F}(V6), P_quotient-{F}(V2,V4,V6,V7) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #92: exists( #25, #90 ), references = 5, size of lhs = 3:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_quotient-{F}(V2,V3,V4,V0) | P_less_equal-{T}(V4,V2,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #97: exists( #27, #20 ), references = 3, size of lhs = 7:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_quotient-{F}(V2,V3,V4,V5), P_idQ_idQa-{F}(V6) | P_quotient-{T}(V2,V4,V6,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #104: exists( #27, #21 ), references = 4, size of lhs = 9:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_quotient-{F}(V2,V3,V4,V5), P_idQ_idQa-{F}(V6), P_quotient-{F}(V2,V4,V6,V7), P_idQa_Q__idQ_idQa-{F}(V8) | P_quotient-{T}(V4,V6,V8,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #111: mergings( V1 == V9, V2 == V10; #108 ), references = 1, size of lhs = 9:
% 10.86/11.09 P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_true-{F}(V3), P_zero-{F}(V4), P_identity-{F}(V5), P_quotient-{F}(V5,V0,V1,V6), P_quotient-{F}(V5,V1,V2,V7), P_quotient-{F}(V1,V2,V8,V3) | P_idQa_Q__idQ_idQa-{T}(V8)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #119: mergings( V1 == V7, V2 == V8; #116 ), references = 1, size of lhs = 7:
% 10.86/11.09 P_a-{F}(V0), P_idQa-{F}(V1), P_true-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), P_quotient-{F}(V4,V0,V1,V5), P_quotient-{F}(V4,V1,V6,V2) | P_idQ_idQa-{T}(V6)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #130: mergings( V1 == V5, V2 == V6; #127 ), references = 1, size of lhs = 5:
% 10.86/11.09 P_a-{F}(V0), P_true-{F}(V1), P_zero-{F}(V2), P_identity-{F}(V3), P_quotient-{F}(V3,V0,V4,V1) | P_idQa-{T}(V4)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #139: exists( #25, #137 ), references = 3, size of lhs = 7:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_quotient-{F}(V2,V3,V4,V0), P_quotient-{F}(V5,V6,V3,V0), P_quotient-{F}(V7,V6,V2,V0), P_quotient-{F}(V7,V5,V8,V0), P_quotient-{F}(V8,V6,V9,V0) | P_less_equal-{T}(V4,V9,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #160: mergings( V1 == V8, V8 == V9, V9 == V11; #156 ), references = 1, size of lhs = 12:
% 10.86/11.09 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), P_quotient-{F}(V0,V1,V2,V3), P_idQ_idQa-{F}(V4), P_quotient-{F}(V0,V2,V4,V5), P_true-{F}(V6), P_zero-{F}(V7), P_quotient-{F}(V8,V9,V2,V6), P_quotient-{F}(V10,V4,V9,V6), P_quotient-{F}(V11,V4,V8,V6), P_quotient-{F}(V11,V10,V2,V6) | P_idQa_Q__idQ_idQa-{T}(V2)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #171: exists( #25, #165 ), references = 2, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_less_equal-{F}(V3,V4,V0), P_quotient-{F}(V5,V4,V6,V0), P_quotient-{F}(V5,V7,V3,V0) | P_less_equal-{T}(V6,V7,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #172: exists( #25, #166 ), references = 3, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_less_equal-{F}(V3,V4,V0), P_quotient-{F}(V5,V4,V6,V0), P_quotient-{F}(V5,V3,V7,V0) | P_less_equal-{T}(V6,V7,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #173: exists( #25, #167 ), references = 1, size of lhs = 6:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_less_equal-{F}(V3,V4,V0), P_quotient-{F}(V4,V5,V6,V0), P_quotient-{F}(V3,V5,V7,V0) | P_less_equal-{T}(V7,V6,V0)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #209: mergings( V3 == V4, V4 == V6, V6 == V9, V5 == V7; #204 ), references = 1, size of lhs = 5:
% 10.86/11.09 P_identity-{F}(V0), P_true-{F}(V1), P_zero-{F}(V2), P_less_equal-{F}(V3,V4,V1), P_quotient-{F}(V5,V3,V2,V1) | P_divide-{T}(V5,V4,V2)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #239: exists( #23, #237 ), references = 1, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_quotient-{F}(V3,V4,V5,V0), P_quotient-{F}(V3,V4,V6,V7) | P_ifeq2-{T}(V7,V0,V6,V5,V5)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #269: mergings( V3 == V5, V5 == V6, V6 == V8; #265 ), references = 1, size of lhs = 7:
% 10.86/11.09 P_identity-{F}(V0), P_true-{F}(V1), P_zero-{F}(V2), P_quotient-{F}(V3,V4,V5,V1), P_quotient-{F}(V6,V7,V4,V1), P_quotient-{F}(V8,V7,V3,V1), P_quotient-{F}(V8,V6,V5,V1) | P_divide-{T}(V5,V7,V5)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #290: mergings( V1 == V8, V8 == V9, V9 == V12, V2 == V10; #285 ), references = 1, size of lhs = 10:
% 10.86/11.09 P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_identity-{F}(V3), P_quotient-{F}(V3,V0,V1,V4), P_quotient-{F}(V3,V1,V2,V5), P_true-{F}(V6), P_zero-{F}(V7), P_less_equal-{F}(V2,V8,V6), P_quotient-{F}(V1,V8,V1,V6) | P_idQa_Q__idQ_idQa-{T}(V1)
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #308: mergings( V10 == V12, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V4 == V9, V9 == V14, V2 == V6, V17 == V19, V6 == V15, V19 == V20; #294 ), references = 1, size of lhs = 9:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), P_quotient-{F}(V4,V5,V4,V0), P_quotient-{F}(V2,V3,V4,V6), P_less_equal-{F}(V7,V4,V0), P_quotient-{F}(V2,V5,V7,V0) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #335: mergings( V19 == V21, V1 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V22, V2 == V6, V6 == V11, V11 == V14, V14 == V18, V18 == V23; #314 ), references = 2, size of lhs = 5:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3), P_quotient-{F}(V3,V3,V1,V0) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #339: mergings( V1 == V4; #337 ), references = 1, size of lhs = 3:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #341: exists( #29, #337 ), references = 1, size of lhs = 2:
% 10.86/11.09 P_true-{F}(V0), P_zero-{F}(V1) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #343: exists( #28, #340 ), references = 1, size of lhs = 1:
% 10.86/11.09 P_true-{F}(V0) | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 #345: exists( #26, #342 ), references = 1, size of lhs = 0:
% 10.86/11.09 FALSE | FALSE
% 10.86/11.09 (used 0 times, uses = {})
% 10.86/11.09
% 10.86/11.09 number of learnt formulas = 35
% 10.86/11.09
% 10.86/11.09
% 10.86/11.09 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.86/11.09
% 10.86/11.09 randbase = 1
%------------------------------------------------------------------------------