TSTP Solution File: COM010-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 05:59:16 EDT 2022
% Result : Unsatisfiable 0.81s 0.96s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n017.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 16:20:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.81/0.96 GeoParameters:
% 0.81/0.96
% 0.81/0.96 tptp_input = 1
% 0.81/0.96 tptp_output = 0
% 0.81/0.96 nonempty = 1
% 0.81/0.96 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.96 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.81/0.96
% 0.81/0.96
% 0.81/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.96
% 0.81/0.96 RuleSystem INPUT:
% 0.81/0.96
% 0.81/0.96 Initial Rules:
% 0.81/0.96 #0: input, references = 4, size of lhs = 6:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), V2 == V4 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #1: input, references = 4, size of lhs = 8:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), V5 == V6 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #2: input, references = 4, size of lhs = 10:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), V7 == V8 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #3: input, references = 4, size of lhs = 9:
% 0.81/0.96 P_v_F-{F}(V3), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V3,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V3,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V3,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #4: input, references = 5, size of lhs = 21:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_c_UNITY_OInit-{F}(V9,V10,V11), P_c_UNITY_OActs-{F}(V9,V10,V12), P_c_UNITY_OAllowedActs-{F}(V9,V10,V13), P_tc_prod-{F}(V10,V10,V14), P_tc_set-{F}(V14,V15), P_tc_set-{F}(V15,V16), P_c_Pair-{F}(V12,V13,V16,V16,V17), P_tc_set-{F}(V10,V18), P_tc_prod-{F}(V16,V16,V19), P_c_Pair-{F}(V11,V17,V18,V19,V20), P_c_UNITY_Omk__program-{F}(V20,V10,V21), V21 == V9 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #5: input, references = 6, size of lhs = 2:
% 0.81/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_UNITY_OInit-{T}(V0,V1,V2)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #6: input, references = 4, size of lhs = 0:
% 0.81/0.96 FALSE | EXISTS V0: P_v_F-{T}(V0)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #7: input, references = 4, size of lhs = 0:
% 0.81/0.96 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #8: input, references = 4, size of lhs = 0:
% 0.81/0.96 FALSE | EXISTS V0: P_v_G-{T}(V0)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #9: input, references = 6, size of lhs = 2:
% 0.81/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_UNITY_OActs-{T}(V0,V1,V2)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #10: input, references = 6, size of lhs = 2:
% 0.81/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_UNITY_OAllowedActs-{T}(V0,V1,V2)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #11: input, references = 4, size of lhs = 2:
% 0.81/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_UNITY_Omk__program-{T}(V0,V1,V2)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #12: input, references = 5, size of lhs = 4:
% 0.81/0.96 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #13: input, references = 6, size of lhs = 1:
% 0.81/0.96 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #14: input, references = 5, size of lhs = 2:
% 0.81/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 number of initial rules = 15
% 0.81/0.96
% 0.81/0.96 Simplifiers:
% 0.81/0.96 #15: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_c_UNITY_OInit-{F}(V0,V1,V2), P_c_UNITY_OInit-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #16: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_v_F-{F}(V0), P_v_F-{F}(V1), V0 == V1 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #17: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #18: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #19: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_c_UNITY_OActs-{F}(V0,V1,V2), P_c_UNITY_OActs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #20: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_c_UNITY_OAllowedActs-{F}(V0,V1,V2), P_c_UNITY_OAllowedActs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #21: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_c_UNITY_Omk__program-{F}(V0,V1,V2), P_c_UNITY_Omk__program-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #22: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #23: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #24: unsound, references = 3, size of lhs = 3:
% 0.81/0.96 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 number of simplifiers = 10
% 0.81/0.96
% 0.81/0.96 Learnt:
% 0.81/0.96 #28: mergings( V3 == V4, V5 == V6; #25 ), references = 1, size of lhs = 5:
% 0.81/0.96 P_v_F-{F}(V0), P_v_G-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_c_UNITY_OActs-{F}(V0,V1,V3) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #31: mergings( V3 == V4; #29 ), references = 1, size of lhs = 4:
% 0.81/0.96 P_v_F-{F}(V0), P_v_G-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #33: exists( #5, #29 ), references = 2, size of lhs = 3:
% 0.81/0.96 P_v_F-{F}(V0), P_v_G-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #35: exists( #10, #2 ), references = 2, size of lhs = 8:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7) | P_c_UNITY_OAllowedActs-{T}(V3,V1,V7)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #37: exists( #11, #4 ), references = 1, size of lhs = 19:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_prod-{F}(V9,V9,V10), P_tc_set-{F}(V10,V11), P_tc_set-{F}(V11,V12), P_tc_set-{F}(V9,V13), P_tc_prod-{F}(V12,V12,V14), P_c_UNITY_OInit-{F}(V15,V9,V16), P_c_UNITY_OActs-{F}(V15,V9,V17), P_c_UNITY_OAllowedActs-{F}(V15,V9,V18), P_c_Pair-{F}(V17,V18,V12,V12,V19), P_c_Pair-{F}(V16,V19,V13,V14,V20) | P_c_UNITY_Omk__program-{T}(V20,V9,V15)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #52: mergings( V5 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19, V11 == V20, V12 == V21, V13 == V22, V24 == V27, V25 == V28, V26 == V29; #39 ), references = 1, size of lhs = 23:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_prod-{F}(V9,V9,V10), P_tc_set-{F}(V10,V11), P_tc_set-{F}(V11,V12), P_tc_prod-{F}(V12,V12,V13), P_tc_set-{F}(V9,V14), P_c_UNITY_OInit-{F}(V15,V9,V16), P_c_UNITY_OActs-{F}(V15,V9,V17), P_c_UNITY_OAllowedActs-{F}(V15,V9,V18), P_c_Pair-{F}(V17,V18,V12,V12,V19), P_c_UNITY_OInit-{F}(V20,V9,V16), V15 == V20, P_c_UNITY_OActs-{F}(V20,V9,V21), P_c_UNITY_OAllowedActs-{F}(V20,V9,V22), P_c_Pair-{F}(V21,V22,V12,V12,V19) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #65: mergings( V4 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19, V11 == V20, V12 == V21, V23 == V26, V24 == V27; #53 ), references = 2, size of lhs = 21:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_prod-{F}(V9,V9,V10), P_tc_set-{F}(V10,V11), P_tc_set-{F}(V11,V12), P_tc_prod-{F}(V12,V12,V13), P_tc_set-{F}(V9,V14), P_c_UNITY_OInit-{F}(V15,V9,V16), P_c_UNITY_OActs-{F}(V15,V9,V17), P_c_UNITY_OAllowedActs-{F}(V15,V9,V18), P_c_UNITY_OInit-{F}(V19,V9,V16), V15 == V19, P_c_UNITY_OActs-{F}(V19,V9,V17), P_c_UNITY_OAllowedActs-{F}(V19,V9,V18) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #68: exists( #9, #1 ), references = 2, size of lhs = 6:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5) | P_c_UNITY_OActs-{T}(V3,V1,V5)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #72: exists( #5, #0 ), references = 1, size of lhs = 4:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3) | P_c_UNITY_OInit-{T}(V3,V1,V2)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #74: exists( #14, #65 ), references = 2, size of lhs = 20:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_prod-{F}(V9,V9,V10), P_tc_set-{F}(V10,V11), P_tc_set-{F}(V11,V12), P_tc_set-{F}(V9,V13), P_c_UNITY_OInit-{F}(V14,V9,V15), P_c_UNITY_OActs-{F}(V14,V9,V16), P_c_UNITY_OAllowedActs-{F}(V14,V9,V17), P_c_UNITY_OInit-{F}(V18,V9,V15), V14 == V18, P_c_UNITY_OActs-{F}(V18,V9,V16), P_c_UNITY_OAllowedActs-{F}(V18,V9,V17) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #76: exists( #13, #74 ), references = 1, size of lhs = 19:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_prod-{F}(V9,V9,V10), P_tc_set-{F}(V10,V11), P_tc_set-{F}(V9,V12), P_c_UNITY_OInit-{F}(V13,V9,V14), P_c_UNITY_OActs-{F}(V13,V9,V15), P_c_UNITY_OAllowedActs-{F}(V13,V9,V16), P_c_UNITY_OInit-{F}(V17,V9,V14), V13 == V17, P_c_UNITY_OActs-{F}(V17,V9,V15), P_c_UNITY_OAllowedActs-{F}(V17,V9,V16) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #78: exists( #13, #75 ), references = 1, size of lhs = 18:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_prod-{F}(V9,V9,V10), P_tc_set-{F}(V9,V11), P_c_UNITY_OInit-{F}(V12,V9,V13), P_c_UNITY_OActs-{F}(V12,V9,V14), P_c_UNITY_OAllowedActs-{F}(V12,V9,V15), P_c_UNITY_OInit-{F}(V16,V9,V13), V12 == V16, P_c_UNITY_OActs-{F}(V16,V9,V14), P_c_UNITY_OAllowedActs-{F}(V16,V9,V15) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #80: exists( #14, #77 ), references = 1, size of lhs = 17:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_c_UNITY_OInit-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_UNITY_OInit-{F}(V3,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V3,V1,V6), P_c_UNITY_OAllowedActs-{F}(V0,V1,V7), P_c_UNITY_OAllowedActs-{F}(V3,V1,V8), P_tc_set-{F}(V9,V10), P_c_UNITY_OInit-{F}(V11,V9,V12), P_c_UNITY_OActs-{F}(V11,V9,V13), P_c_UNITY_OAllowedActs-{F}(V11,V9,V14), P_c_UNITY_OInit-{F}(V15,V9,V12), V11 == V15, P_c_UNITY_OActs-{F}(V15,V9,V13), P_c_UNITY_OAllowedActs-{F}(V15,V9,V14) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #91: mergings( V3 == V5, V5 == V13, V7 == V9, V9 == V13, V4 == V10, V8 == V11, V10 == V14, V11 == V14; #82 ), references = 1, size of lhs = 9:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_v_G-{F}(V2), V0 == V2, P_tc_set-{F}(V1,V3), P_c_UNITY_OInit-{F}(V0,V1,V4), P_c_UNITY_OInit-{F}(V2,V1,V4), P_c_UNITY_OActs-{F}(V0,V1,V5), P_c_UNITY_OActs-{F}(V2,V1,V5) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #100: mergings( V3 == V4, V4 == V5, V5 == V11, V7 == V8, V8 == V9, V9 == V11; #93 ), references = 1, size of lhs = 7:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_v_G-{F}(V2), V0 == V2, P_tc_set-{F}(V1,V3), P_c_UNITY_OInit-{F}(V0,V1,V4), P_c_UNITY_OInit-{F}(V2,V1,V4) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #103: exists( #5, #101 ), references = 1, size of lhs = 5:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_v_G-{F}(V2), V0 == V2, P_tc_set-{F}(V1,V3) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #105: exists( #13, #102 ), references = 1, size of lhs = 4:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1), P_v_G-{F}(V2), V0 == V2 | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #107: exists( #8, #104 ), references = 1, size of lhs = 2:
% 0.81/0.96 P_v_F-{F}(V0), P_t_a-{F}(V1) | P_v_G-{T}(V0)
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #110: exists( #7, #108 ), references = 1, size of lhs = 1:
% 0.81/0.96 P_v_F-{F}(V0) | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 #112: exists( #6, #109 ), references = 1, size of lhs = 0:
% 0.81/0.96 FALSE | FALSE
% 0.81/0.96 (used 0 times, uses = {})
% 0.81/0.96
% 0.81/0.96 number of learnt formulas = 20
% 0.81/0.96
% 0.81/0.96
% 0.81/0.96 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.96
% 0.81/0.96 randbase = 1
%------------------------------------------------------------------------------