%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG227+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 05:57:26 EDT 2022
% Result : Theorem 3.85s 4.06s
% Output : Refutation 3.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG227+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 10:47:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.85/4.06 GeoParameters:
% 3.85/4.06
% 3.85/4.06 tptp_input = 1
% 3.85/4.06 tptp_output = 0
% 3.85/4.06 nonempty = 1
% 3.85/4.06 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/4.06 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.85/4.06
% 3.85/4.06
% 3.85/4.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/4.06 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/4.06
% 3.85/4.06 RuleSystem INPUT:
% 3.85/4.06
% 3.85/4.06 Initial Rules:
% 3.85/4.06 #0: input, references = 4, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #1: input, references = 4, size of lhs = 1:
% 3.85/4.06 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #2: input, references = 4, size of lhs = 2:
% 3.85/4.06 pppp3-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #3: input, references = 5, size of lhs = 2:
% 3.85/4.06 pppp2-{F}(V0,V1,V2), P_k1_closure3-{F}(V0,V1,V3) | EXISTS V4: pppp1-{T}(V0,V1,V4,V3,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #4: input, references = 4, size of lhs = 2:
% 3.85/4.06 pppp2-{F}(V0,V1,V2), P_k1_closure3-{F}(V0,V1,V3) | m1_pboole-{T}(V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #5: input, references = 5, size of lhs = 2:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), P_k1_funct_1-{F}(V1,V2,V4) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #6: input, references = 4, size of lhs = 3:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), P_k1_funct_1-{F}(V1,V2,V5), r2_hidden-{F}(V2,V3) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #7: input, references = 5, size of lhs = 2:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), P_k1_funct_1-{F}(V1,V2,V5) | m1_subset_1-{T}(V2,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #8: input, references = 5, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), r2_hidden-{F}(V2,V1) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #9: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | v1_fraenkel-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #10: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | v1_finset_1-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #11: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | v1_funct_1-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #12: input, references = 3, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_relat_1-{F}(V1), v1_xboole_0-{F}(V1), v1_funct_1-{F}(V1) | v2_funct_1-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #13: input, references = 6, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), P_k1_closure3-{F}(V1,V2,V3), P_a_2_0_closure3-{F}(V1,V2,V4), m1_pboole-{F}(V2,V1), V3 == V4 | v1_xboole_0-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #14: input, references = 3, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), P_k1_closure3-{F}(V1,V2,V3), P_a_2_0_closure3-{F}(V1,V2,V4), m1_pboole-{F}(V2,V1), V4 == V3 | v1_xboole_0-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #15: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2) | v1_relat_1-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #16: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2) | v1_funct_1-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #17: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), #-{F} V1 | EXISTS V2: pppp4-{T}(V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #18: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp4-{F}(V0,V1) | m1_pboole-{T}(V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #19: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), #-{F} V1 | EXISTS V2: pppp5-{T}(V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #20: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp5-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #21: input, references = 4, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #22: input, references = 4, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), P_a_2_0_closure3-{F}(V1,V2,V3), m1_pboole-{F}(V2,V1), r2_hidden-{F}(V4,V3) | v1_xboole_0-{T}(V1), pppp0-{T}(V4,V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #23: input, references = 4, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), P_a_2_0_closure3-{F}(V1,V2,V3), m1_pboole-{F}(V2,V1), pppp0-{F}(V4,V1,V2) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V4,V3)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #24: input, references = 5, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2,V3) | EXISTS V4: pppp6-{T}(V1,V2,V3,V4,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #25: input, references = 9, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), P_k1_funct_1-{F}(V3,V4,V5), m1_subset_1-{F}(V4,V2), V5 == V0 | pppp0-{T}(V4,V2,V3)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #26: input, references = 4, size of lhs = 2:
% 3.85/4.06 pppp6-{F}(V0,V1,V2,V3,V4), P_k1_funct_1-{F}(V2,V3,V4) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #27: input, references = 4, size of lhs = 3:
% 3.85/4.06 pppp6-{F}(V0,V1,V2,V3,V4), P_k1_funct_1-{F}(V2,V3,V5), V0 == V3 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #28: input, references = 7, size of lhs = 2:
% 3.85/4.06 pppp6-{F}(V0,V1,V2,V3,V4), P_k1_funct_1-{F}(V2,V3,V5) | m1_subset_1-{T}(V3,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #29: input, references = 4, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #30: input, references = 5, size of lhs = 1:
% 3.85/4.06 pppp8-{F}(V0) | pppp7-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #31: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp7-{F}(V0) | v1_fraenkel-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #32: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp7-{F}(V0) | v1_finset_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #33: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp7-{F}(V0) | v2_funct_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #34: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp7-{F}(V0) | v1_funct_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #35: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp7-{F}(V0) | v1_relat_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #36: input, references = 5, size of lhs = 1:
% 3.85/4.06 pppp7-{F}(V0) | v1_xboole_0-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #37: input, references = 3, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #38: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp9-{F}(V0) | v1_finset_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #39: input, references = 4, size of lhs = 2:
% 3.85/4.06 pppp9-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #40: input, references = 3, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #41: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp10-{F}(V0) | v1_funct_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #42: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp10-{F}(V0) | v1_relat_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #43: input, references = 3, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #44: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp11-{F}(V0) | v1_xboole_0-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #45: input, references = 3, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #46: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp12-{F}(V0) | v1_funct_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #47: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp12-{F}(V0) | v1_xboole_0-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #48: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp12-{F}(V0) | v1_relat_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #49: input, references = 3, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #50: input, references = 3, size of lhs = 2:
% 3.85/4.06 pppp13-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #51: input, references = 3, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #52: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp14-{F}(V0) | v2_funct_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #53: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp14-{F}(V0) | v1_funct_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #54: input, references = 3, size of lhs = 1:
% 3.85/4.06 pppp14-{F}(V0) | v1_relat_1-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #55: input, references = 3, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #56: input, references = 4, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #57: input, references = 3, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | EXISTS V3: pppp15-{T}(V1,V2,V3)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #58: input, references = 6, size of lhs = 3:
% 3.85/4.06 pppp15-{F}(V0,V1,V2), r2_hidden-{F}(V2,V1), r2_hidden-{F}(V2,V0) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #59: input, references = 9, size of lhs = 1:
% 3.85/4.06 pppp15-{F}(V0,V1,V2) | r2_hidden-{T}(V2,V0), r2_hidden-{T}(V2,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #60: input, references = 5, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #61: input, references = 4, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #62: input, references = 5, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #63: input, references = 5, size of lhs = 2:
% 3.85/4.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_k1_closure3-{T}(V0,V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #64: input, references = 14, size of lhs = 2:
% 3.85/4.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_k1_funct_1-{T}(V0,V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #65: input, references = 4, size of lhs = 0:
% 3.85/4.06 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #66: input, references = 4, size of lhs = 2:
% 3.85/4.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_a_2_0_closure3-{T}(V0,V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 number of initial rules = 67
% 3.85/4.06
% 3.85/4.06 Simplifiers:
% 3.85/4.06 #67: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 P_k1_closure3-{F}(V0,V1,V2), P_k1_closure3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #68: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 P_k1_funct_1-{F}(V0,V1,V2), P_k1_funct_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #69: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #70: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 P_a_2_0_closure3-{F}(V0,V1,V2), P_a_2_0_closure3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #71: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #72: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V6,V7,V8,V4), V1 == V6 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #73: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V4), V0 == V5 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #74: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #75: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V7,V8,V9), V3 == V8 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #76: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #77: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V2), V0 == V3 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #78: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #79: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #80: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #81: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #82: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #83: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #84: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #85: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #86: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #87: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #88: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #89: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #90: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #91: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #92: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #93: unsound, references = 3, size of lhs = 3:
% 3.85/4.06 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 number of simplifiers = 27
% 3.85/4.06
% 3.85/4.06 Learnt:
% 3.85/4.06 #103: mergings( V0 == V2; #100 ), references = 1, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | pppp8-{T}(V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #105: mergings( V0 == V2; #101 ), references = 1, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp8-{T}(V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #119: mergings( V3 == V4; #115 ), references = 3, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), V2 == V0, P_k1_closure3-{F}(V2,V1,V3) | P_a_2_0_closure3-{T}(V2,V1,V3)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #122: mergings( V3 == V4, V0 == V4; #116 ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_pboole-{F}(V2,V0), P_k1_closure3-{F}(V0,V2,V3) | P_a_2_0_closure3-{T}(V0,V2,V3)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #124: mergings( V0 == V3; #117 ), references = 1, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp9-{F}(V0), m1_pboole-{F}(V1,V0), P_k1_closure3-{F}(V0,V1,V2) | P_a_2_0_closure3-{T}(V0,V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #129: mergings( V0 == V3; #125 ), references = 6, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #132: mergings( V0 == V3, V2 == V3; #126 ), references = 1, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #134: mergings( V2 == V0; #127 ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp9-{F}(V0), m1_subset_1-{F}(V1,V0) | r2_hidden-{T}(V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #143: disj( #59, input ), references = 1, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp15-{F}(V1,V2,V2) | r2_hidden-{T}(V2,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #144: disj( #59, input ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp15-{F}(V2,V1,V3) | r2_hidden-{T}(V3,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #151: mergings( V0 == V5; #147 ), references = 4, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), V2 == V0, P_a_2_0_closure3-{F}(V2,V1,V3), r2_hidden-{F}(V4,V3) | pppp0-{T}(V4,V2,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #154: mergings( V0 == V5, V1 == V5; #148 ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V0), P_a_2_0_closure3-{F}(V0,V1,V2), r2_hidden-{F}(V3,V2), r2_hidden-{F}(V4,V0) | pppp0-{T}(V3,V0,V1)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #157: mergings( V0 == V5, V1 == V5; #149 ), references = 1, size of lhs = 6:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_pboole-{F}(V2,V0), P_a_2_0_closure3-{F}(V0,V2,V3), r2_hidden-{F}(V4,V3) | pppp0-{T}(V4,V0,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #161: disj( #59, input ), references = 1, size of lhs = 2:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp15-{F}(V1,V2,V1) | r2_hidden-{T}(V1,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #172: exists( #64, #27 ), references = 1, size of lhs = 2:
% 3.85/4.06 pppp6-{F}(V0,V1,V2,V3,V4), V0 == V3 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #176: mergings( V0 == V5; #174 ), references = 5, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2,V3), pppp0-{F}(V4,V5,V6) | pppp6-{T}(V1,V2,V3,V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #187: mergings( V0 == V5; #185 ), references = 5, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), m1_pboole-{F}(V3,V2), P_a_2_0_closure3-{F}(V2,V3,V4), pppp0-{F}(V5,V2,V3) | r2_hidden-{T}(V5,V4)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #197: mergings( V3 == V4, V4 == V5, V5 == V6; #192 ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), m1_pboole-{F}(V3,V2), P_a_2_0_closure3-{F}(V2,V3,V4), m1_subset_1-{F}(V4,V2) | P_k1_funct_1-{T}(V3,V4,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #201: mergings( V3 == V4, V4 == V5, V5 == V6; #193 ), references = 2, size of lhs = 6:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), m1_subset_1-{F}(V2,V3), r2_hidden-{F}(V4,V3), m1_pboole-{F}(V5,V3), P_a_2_0_closure3-{F}(V3,V5,V1) | P_k1_funct_1-{T}(V5,V2,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #219: mergings( V3 == V9, V10 == V6, V7 == V0, V11 == V8; #214 ), references = 1, size of lhs = 6:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V3), m1_pboole-{F}(V4,V3), P_a_2_0_closure3-{F}(V3,V4,V1), pppp1-{F}(V3,V4,V5,V6,V0) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #221: exists( #3, #214 ), references = 1, size of lhs = 7:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V3), pppp2-{F}(V3,V4,V0), m1_pboole-{F}(V4,V3), P_a_2_0_closure3-{F}(V3,V4,V1), P_k1_closure3-{F}(V3,V4,V5) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #229: mergings( V3 == V4, V5 == V1; #226 ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp6-{F}(V1,V1,V2,V1,V3), V1 == V0 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #238: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #233 ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), V2 == V0, P_k1_closure3-{F}(V2,V1,V3), r2_hidden-{F}(V2,V3) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #248: mergings( V3 == V4, V4 == V5, V5 == V6; #244 ), references = 1, size of lhs = 9:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), r2_hidden-{F}(V3,V2), m1_pboole-{F}(V4,V2), P_a_2_0_closure3-{F}(V2,V4,V5), P_k1_funct_1-{F}(V6,V1,V0), m1_pboole-{F}(V6,V7), V7 == V0, P_a_2_0_closure3-{F}(V7,V6,V5) | P_k1_funct_1-{T}(V4,V1,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #306: mergings( V6 == V1; #304 ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), pppp15-{F}(V2,V3,V1), V3 == V0, pppp6-{F}(V1,V3,V4,V1,V5) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #322: exists( #64, #6 ), references = 3, size of lhs = 2:
% 3.85/4.06 r2_hidden-{F}(V0,V1), pppp1-{F}(V2,V3,V0,V1,V4) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #345: mergings( V6 == V1; #342 ), references = 3, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), pppp15-{F}(V3,V2,V1), V3 == V0, pppp6-{F}(V1,V3,V4,V1,V5) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #360: disj( #59, input ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp15-{F}(V1,V2,V3) | r2_hidden-{T}(V3,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #393: disj( #59, input ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), pppp15-{F}(V1,V3,V2) | r2_hidden-{T}(V2,V3)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #418: disj( #59, mergings( V6 == V1; #304 ) ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp15-{F}(V1,V2,V3), pppp15-{F}(V1,V4,V3), V4 == V0, pppp6-{F}(V3,V4,V5,V3,V6) | r2_hidden-{T}(V3,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #419: disj( #59, mergings( V6 == V1; #342 ) ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp15-{F}(V1,V2,V3), pppp15-{F}(V4,V1,V3), V4 == V0, pppp6-{F}(V3,V4,V5,V3,V6) | r2_hidden-{T}(V3,V2)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #485: mergings( V4 == V1; #483 ), references = 1, size of lhs = 4:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp6-{F}(V1,V2,V3,V1,V4), V2 == V0, pppp1-{F}(V5,V6,V1,V2,V7) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #512: mergings( V3 == V4, V4 == V5; #508 ), references = 1, size of lhs = 6:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), V2 == V0, P_a_2_0_closure3-{F}(V2,V1,V3), pppp15-{F}(V2,V3,V4), pppp15-{F}(V5,V3,V4) | r2_hidden-{T}(V4,V5)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #613: mergings( V3 == V4; #609 ), references = 1, size of lhs = 7:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), m1_pboole-{F}(V3,V2), P_a_2_0_closure3-{F}(V2,V3,V4), m1_subset_1-{F}(V5,V2), r2_hidden-{F}(V5,V6), pppp15-{F}(V6,V4,V5) | P_k1_funct_1-{T}(V3,V5,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #617: mergings( V3 == V4, V4 == V5, V5 == V6; #610 ), references = 1, size of lhs = 7:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V2 == V0, m1_pboole-{F}(V3,V2), P_a_2_0_closure3-{F}(V2,V3,V4), pppp15-{F}(V2,V4,V5), m1_subset_1-{F}(V5,V2) | P_k1_funct_1-{T}(V3,V5,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #694: mergings( V3 == V4, V4 == V5, V9 == V12, V6 == V10, V0 == V11, V8 == V7; #686 ), references = 1, size of lhs = 5:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), V2 == V0, P_a_2_0_closure3-{F}(V2,V1,V3), pppp1-{F}(V2,V1,V4,V3,V5) | P_k1_funct_1-{T}(V1,V4,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #703: mergings( V5 == V2, V2 == V6; #700 ), references = 1, size of lhs = 6:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), V2 == V0, pppp2-{F}(V2,V1,V0), P_k1_closure3-{F}(V2,V1,V3), P_a_2_0_closure3-{F}(V2,V1,V3) | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #711: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #706 ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp2-{F}(V1,V2,V0), V1 == V0 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #716: mergings( V3 == V4, V4 == V1, V1 == V5; #712 ), references = 1, size of lhs = 3:
% 3.85/4.06 P_k1_xboole_0-{F}(V0), pppp3-{F}(V1,V0), V1 == V0 | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #721: mergings( V2 == V3, V3 == V0, V0 == V4; #717 ), references = 1, size of lhs = 1:
% 3.85/4.06 P_k1_xboole_0-{F}(V0) | pppp3-{T}(V0,V0)
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 #728: exists( #65, #726 ), references = 1, size of lhs = 0:
% 3.85/4.06 FALSE | FALSE
% 3.85/4.06 (used 0 times, uses = {})
% 3.85/4.06
% 3.85/4.06 number of learnt formulas = 41
% 3.85/4.06
% 3.85/4.06
% 3.85/4.06 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/4.06
% 3.85/4.06 randbase = 1
%------------------------------------------------------------------------------