%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL853-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:07:13 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL853-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 00:39:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 GeoParameters:
% 0.08/0.37
% 0.08/0.37 tptp_input = 1
% 0.08/0.37 tptp_output = 0
% 0.08/0.37 nonempty = 1
% 0.08/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.08/0.37
% 0.08/0.37
% 0.08/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37
% 0.08/0.37 RuleSystem INPUT:
% 0.08/0.37
% 0.08/0.37 Initial Rules:
% 0.08/0.37 #0: input, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Opreorder-{F}(V0), c_HOL_Oord__class_Oless-{F}(V2,V1,V0), c_HOL_Oord__class_Oless-{F}(V1,V2,V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #1: input, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Opreorder-{F}(V0), c_HOL_Oord__class_Oless-{F}(V2,V1,V0), c_HOL_Oord__class_Oless-{F}(V1,V2,V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #2: input, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Olinorder-{F}(V0), c_HOL_Oord__class_Oless-{F}(V1,V2,V0), c_HOL_Oord__class_Oless-{F}(V2,V1,V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #3: input, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Oorder-{F}(V0), c_HOL_Oord__class_Oless-{F}(V1,V2,V0), c_HOL_Oord__class_Oless-{F}(V2,V1,V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #4: input, references = 3, size of lhs = 6:
% 0.08/0.37 P_c_Lambda_OdB_OApp-{F}(V0,V1,V4), P_c_Lambda_Osubst-{F}(V4,V2,V3,V5), P_c_Lambda_Osubst-{F}(V0,V2,V3,V6), P_c_Lambda_Osubst-{F}(V1,V2,V3,V7), P_c_Lambda_OdB_OApp-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #5: input, references = 3, size of lhs = 2:
% 0.08/0.37 P_c_Lambda_OdB_OApp-{F}(V0,V1,V4), P_c_Lambda_OdB_OAbs-{F}(V2,V4) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #6: input, references = 3, size of lhs = 2:
% 0.08/0.37 P_c_Lambda_OdB_OAbs-{F}(V2,V4), P_c_Lambda_OdB_OApp-{F}(V0,V1,V4) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #7: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_c_Lambda_OdB_OVar-{F}(V1,V2), P_c_Lambda_Osubst-{F}(V2,V0,V1,V3), V3 == V0 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #8: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V1,V3), c_HOL_Oord__class_Oless-{F}(V1,V2,V0), P_c_Lambda_Osubst-{F}(V3,V4,V2,V5), V5 == V3 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #9: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1,V4,V6), P_c_Lambda_OdB_OApp-{F}(V2,V3,V6), V1 == V2 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #10: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V4,V1,V6), P_c_Lambda_OdB_OApp-{F}(V3,V2,V6), V1 == V2 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #11: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, class_Orderings_Olinorder-{F}(V3), V2 == V1 | c_HOL_Oord__class_Oless-{T}(V2,V1,V3), c_HOL_Oord__class_Oless-{T}(V1,V2,V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #12: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, class_Orderings_Olinorder-{F}(V3), V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V3), c_HOL_Oord__class_Oless-{T}(V2,V1,V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #13: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, class_Orderings_Olinorder-{F}(V3), V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V3), c_HOL_Oord__class_Oless-{T}(V2,V1,V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #14: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V0), c_HOL_Oord__class_Oless-{T}(V2,V1,V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #15: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V0), c_HOL_Oord__class_Oless-{T}(V2,V1,V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #16: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, class_Orderings_Olinorder-{F}(V3), V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V3), c_HOL_Oord__class_Oless-{T}(V2,V1,V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #17: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), #-{F} V1, #-{F} V2, class_Ring__and__Field_Oordered__idom-{F}(V3), V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V3), c_HOL_Oord__class_Oless-{T}(V2,V1,V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #18: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), class_Orderings_Opreorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V1) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #19: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), class_Orderings_Olinorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V1) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #20: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), class_Orderings_Oorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V1) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #21: input, references = 3, size of lhs = 2:
% 0.08/0.37 P_tc_nat-{F}(V0), c_HOL_Oord__class_Oless-{F}(V1,V1,V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #22: input, references = 3, size of lhs = 2:
% 0.08/0.37 P_tc_nat-{F}(V0), c_HOL_Oord__class_Oless-{F}(V1,V1,V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #23: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V3,V5), P_c_Lambda_OdB_OApp-{F}(V1,V2,V5) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #24: input, references = 3, size of lhs = 7:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V2,V1,V4), P_c_Lambda_Olift-{F}(V4,V3,V5), P_c_Lambda_Olift-{F}(V2,V3,V6), P_c_Lambda_Olift-{F}(V1,V3,V7), P_c_Lambda_OdB_OApp-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #25: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V2,V3), P_c_Lambda_Osubst-{F}(V3,V4,V1,V5), V2 == V1, V5 == V3 | c_HOL_Oord__class_Oless-{T}(V1,V2,V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #26: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), class_Orderings_Opreorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V4,V2,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #27: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), class_Orderings_Oorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V4,V1), c_HOL_Oord__class_Oless-{F}(V4,V3,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #28: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V1,V2), P_c_Lambda_Osubst-{F}(V2,V3,V1,V4), V4 == V3 | c_HOL_Oord__class_Oless-{T}(V1,V1,V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #29: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_Olift-{F}(V1,V3,V4), P_c_Lambda_Osubst-{F}(V4,V2,V3,V5), V5 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #30: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1,V2,V5), P_c_Lambda_OdB_OVar-{F}(V3,V5) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #31: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), c_InductTermi_OIT-{F}(V1), P_c_Lambda_OdB_OVar-{F}(V2,V3), P_c_Lambda_OdB_OApp-{F}(V1,V3,V4) | c_InductTermi_OIT-{T}(V4)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #32: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V2,V3), P_c_Lambda_Olift-{F}(V3,V1,V4), c_HOL_Oord__class_Oless-{F}(V2,V1,V0), V4 == V3 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #33: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V2,V4), P_c_Lambda_OdB_OAbs-{F}(V1,V4) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #34: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V2,V4), P_c_Lambda_OdB_OAbs-{F}(V1,V4), V2 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #35: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), c_InductTermi_OIT-{F}(V1), P_c_Lambda_OdB_OVar-{F}(V2,V4), P_c_Lambda_Osubst-{F}(V1,V4,V3,V5) | c_InductTermi_OIT-{T}(V5)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #36: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V1,V4), P_c_Lambda_OdB_OVar-{F}(V2,V4), V1 == V2 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #37: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V4), P_c_Lambda_OdB_OVar-{F}(V2,V4) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #38: input, references = 4, size of lhs = 2:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1) | c_InductTermi_OIT-{T}(V1)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #39: input, references = 3, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), c_InductTermi_OIT-{F}(V2), P_c_Lambda_Olift-{F}(V2,V3,V4) | c_InductTermi_OIT-{T}(V4)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #40: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_c_Lambda_OdB_OVar-{F}(V2,V3) | c_InductTermi_OIT-{T}(V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #41: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_v_ta____-{F}(V2) | c_InductTermi_OIT-{T}(V2)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #42: input, references = 3, size of lhs = 5:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_v_ta____-{F}(V2), P_c_Lambda_OdB_OAbs-{F}(V3,V4), c_InductTermi_OIT-{F}(V3) | c_InductTermi_OIT-{T}(V4)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #43: input, references = 4, size of lhs = 4:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_v_ta____-{F}(V2), c_InductTermi_OIT-{F}(V1) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #44: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_v_ta____-{F}(V2) | class_Orderings_Opreorder-{T}(V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #45: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_v_ta____-{F}(V2) | class_Orderings_Olinorder-{T}(V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #46: input, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), P_v_ta____-{F}(V2) | class_Orderings_Oorder-{T}(V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #47: input, references = 3, size of lhs = 3:
% 0.08/0.37 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Lambda_Osubst-{T}(V0,V1,V2,V3)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #48: input, references = 3, size of lhs = 2:
% 0.08/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_OdB_OApp-{T}(V0,V1,V2)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #49: input, references = 3, size of lhs = 1:
% 0.08/0.37 #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OAbs-{T}(V0,V1)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #50: input, references = 3, size of lhs = 1:
% 0.08/0.37 #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OVar-{T}(V0,V1)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #51: input, references = 4, size of lhs = 0:
% 0.08/0.37 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #52: input, references = 3, size of lhs = 2:
% 0.08/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_Olift-{T}(V0,V1,V2)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #53: input, references = 4, size of lhs = 0:
% 0.08/0.37 FALSE | EXISTS V0: P_v_s____-{T}(V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #54: input, references = 4, size of lhs = 0:
% 0.08/0.37 FALSE | EXISTS V0: P_v_ta____-{T}(V0)
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 number of initial rules = 55
% 0.08/0.37
% 0.08/0.37 Simplifiers:
% 0.08/0.37 #55: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Opreorder-{F}(V0), class_Orderings_Opreorder-{F}(V1), V0 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #56: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 c_HOL_Oord__class_Oless-{F}(V0,V1,V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #57: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #58: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #59: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_c_Lambda_Osubst-{F}(V0,V1,V2,V3), P_c_Lambda_Osubst-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #60: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_c_Lambda_OdB_OApp-{F}(V0,V1,V2), P_c_Lambda_OdB_OApp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #61: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_c_Lambda_OdB_OAbs-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #62: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_c_Lambda_OdB_OVar-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #63: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #64: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_c_Lambda_Olift-{F}(V0,V1,V2), P_c_Lambda_Olift-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #65: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_v_s____-{F}(V0), P_v_s____-{F}(V1), V0 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #66: unsound, references = 3, size of lhs = 3:
% 0.08/0.37 P_v_ta____-{F}(V0), P_v_ta____-{F}(V1), V0 == V1 | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 number of simplifiers = 12
% 0.08/0.37
% 0.08/0.37 Learnt:
% 0.08/0.37 #68: exists( #54, #43 ), references = 1, size of lhs = 3:
% 0.08/0.37 P_tc_nat-{F}(V0), P_v_s____-{F}(V1), c_InductTermi_OIT-{F}(V1) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #72: mergings( V1 == V2; #70 ), references = 1, size of lhs = 1:
% 0.08/0.37 P_tc_nat-{F}(V0) | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 #74: exists( #51, #70 ), references = 1, size of lhs = 0:
% 0.08/0.37 FALSE | FALSE
% 0.08/0.37 (used 0 times, uses = {})
% 0.08/0.37
% 0.08/0.37 number of learnt formulas = 3
% 0.08/0.37
% 0.08/0.37
% 0.08/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37
% 0.08/0.37 randbase = 1
%------------------------------------------------------------------------------