TSTP Solution File: SET825-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:16:46 EDT 2022
% Result : Unsatisfiable 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 : Sat Jul 23 02:08:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.58 GeoParameters:
% 0.42/0.58
% 0.42/0.58 tptp_input = 1
% 0.42/0.58 tptp_output = 0
% 0.42/0.58 nonempty = 1
% 0.42/0.58 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58
% 0.42/0.58 RuleSystem INPUT:
% 0.42/0.58
% 0.42/0.58 Initial Rules:
% 0.42/0.58 #0: input, references = 6, size of lhs = 3:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_c_Pair-{F}(V1,V1,V2,V2,V3), P_tc_prod-{F}(V2,V2,V4) | c_in-{T}(V3,V0,V4)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #1: input, references = 5, size of lhs = 5:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_c_Pair-{F}(V1,V2,V3,V3,V4), P_tc_prod-{F}(V3,V3,V5), c_in-{F}(V4,V0,V5), V1 == V2 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #2: input, references = 4, size of lhs = 2:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_v_n-{F}(V1) | v_Q-{T}(V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #3: input, references = 4, size of lhs = 4:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_v_n-{F}(V1), P_v_m-{F}(V2), v_Q-{F}(V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #4: input, references = 4, size of lhs = 12:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_v_n-{F}(V1), P_v_m-{F}(V2), P_tc_nat-{F}(V3), P_c_Pair-{F}(V1,V2,V3,V3,V4), P_tc_prod-{F}(V3,V3,V5), P_c_0-{F}(V6), P_c_Pair-{F}(V6,V6,V3,V3,V7), P_v_x-{F}(V8,V9), P_v_xa-{F}(V8,V10), P_c_Pair-{F}(V9,V10,V3,V3,V11), c_in-{F}(V7,V8,V5) | c_in-{T}(V4,V8,V5), c_in-{T}(V11,V8,V5)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #5: input, references = 4, size of lhs = 15:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_v_n-{F}(V1), P_v_m-{F}(V2), P_tc_nat-{F}(V3), P_c_Pair-{F}(V1,V2,V3,V3,V4), P_tc_prod-{F}(V3,V3,V5), P_c_0-{F}(V6), P_c_Pair-{F}(V6,V6,V3,V3,V7), P_v_x-{F}(V8,V9), P_c_Suc-{F}(V9,V10), P_v_xa-{F}(V8,V11), P_c_Suc-{F}(V11,V12), P_c_Pair-{F}(V10,V12,V3,V3,V13), c_in-{F}(V13,V8,V5), c_in-{F}(V7,V8,V5) | c_in-{T}(V4,V8,V5)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #6: input, references = 9, size of lhs = 4:
% 0.42/0.58 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #7: input, references = 4, size of lhs = 0:
% 0.42/0.58 FALSE | EXISTS V0: P_c_Relation_OId-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #8: input, references = 5, size of lhs = 2:
% 0.42/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #9: input, references = 4, size of lhs = 0:
% 0.42/0.58 FALSE | EXISTS V0: P_v_n-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #10: input, references = 4, size of lhs = 0:
% 0.42/0.58 FALSE | EXISTS V0: P_v_m-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #11: input, references = 4, size of lhs = 0:
% 0.42/0.58 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #12: input, references = 4, size of lhs = 1:
% 0.42/0.58 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #13: input, references = 4, size of lhs = 1:
% 0.42/0.58 #-{F} V0 | EXISTS V1: P_v_xa-{T}(V0,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #14: input, references = 4, size of lhs = 0:
% 0.42/0.58 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #15: input, references = 4, size of lhs = 1:
% 0.42/0.58 #-{F} V0 | EXISTS V1: P_c_Suc-{T}(V0,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of initial rules = 16
% 0.42/0.58
% 0.42/0.58 Simplifiers:
% 0.42/0.58 #16: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #17: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 v_Q-{F}(V0), v_Q-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #18: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #19: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_c_Relation_OId-{F}(V0), P_c_Relation_OId-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #20: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #21: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_v_n-{F}(V0), P_v_n-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #22: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_v_m-{F}(V0), P_v_m-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #23: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #24: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #25: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_v_xa-{F}(V0,V1), P_v_xa-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #26: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #27: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_c_Suc-{F}(V0,V1), P_c_Suc-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of simplifiers = 12
% 0.42/0.58
% 0.42/0.58 Learnt:
% 0.42/0.58 #31: mergings( V0 == V8; #29 ), references = 1, size of lhs = 15:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), P_tc_nat-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_tc_prod-{F}(V2,V2,V4), P_c_0-{F}(V5), P_c_Pair-{F}(V5,V5,V2,V2,V6), P_c_Relation_OId-{F}(V7), c_in-{F}(V6,V7,V4), P_v_x-{F}(V7,V8), P_v_xa-{F}(V7,V9), P_c_Pair-{F}(V8,V9,V2,V2,V10), P_tc_prod-{F}(V11,V11,V4), P_c_Pair-{F}(V12,V13,V11,V11,V3), V12 == V13 | c_in-{T}(V10,V7,V4)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #35: mergings( V4 == V8; #33 ), references = 1, size of lhs = 15:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Pair-{F}(V3,V3,V2,V2,V4), P_tc_prod-{F}(V2,V2,V5), P_c_Relation_OId-{F}(V6), c_in-{F}(V4,V6,V5), P_v_x-{F}(V6,V7), P_v_xa-{F}(V6,V8), P_c_Pair-{F}(V7,V8,V2,V2,V9), P_tc_prod-{F}(V10,V10,V5), P_c_Pair-{F}(V11,V12,V10,V10,V9), V11 == V12 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #38: mergings( V4 == V10; #36 ), references = 1, size of lhs = 12:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Pair-{F}(V3,V3,V2,V2,V4), P_c_Relation_OId-{F}(V5), c_in-{F}(V4,V5,V6), P_tc_prod-{F}(V2,V2,V6), P_v_x-{F}(V5,V7), P_v_xa-{F}(V5,V8), V7 == V8 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #42: mergings( V3 == V6; #40 ), references = 1, size of lhs = 10:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_x-{F}(V4,V6), P_v_xa-{F}(V4,V7), V6 == V7 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #45: mergings( V2 == V6; #43 ), references = 1, size of lhs = 9:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4), P_v_x-{F}(V4,V5), P_v_xa-{F}(V4,V6), V5 == V6 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #48: mergings( V2 == V0; #46 ), references = 2, size of lhs = 7:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4), P_v_x-{F}(V4,V5) | P_v_xa-{T}(V4,V5)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #56: mergings( V4 == V8; #54 ), references = 2, size of lhs = 15:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Pair-{F}(V3,V3,V2,V2,V4), P_c_Relation_OId-{F}(V5), c_in-{F}(V4,V5,V6), P_tc_prod-{F}(V2,V2,V6), P_v_x-{F}(V5,V7), P_c_Suc-{F}(V7,V8), P_v_xa-{F}(V5,V9), P_c_Suc-{F}(V9,V10), P_c_Pair-{F}(V8,V10,V2,V2,V11), c_in-{F}(V11,V5,V6) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #59: exists( #6, #57 ), references = 1, size of lhs = 13:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Pair-{F}(V3,V3,V2,V2,V4), P_c_Relation_OId-{F}(V5), c_in-{F}(V4,V5,V6), P_tc_prod-{F}(V2,V2,V6), P_v_x-{F}(V5,V7), P_c_Suc-{F}(V7,V8), P_v_xa-{F}(V5,V9), P_c_Suc-{F}(V9,V8) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #62: exists( #6, #60 ), references = 1, size of lhs = 11:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_x-{F}(V4,V6), P_c_Suc-{F}(V6,V7), P_v_xa-{F}(V4,V8), P_c_Suc-{F}(V8,V7) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #64: exists( #8, #61 ), references = 2, size of lhs = 10:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4), P_v_x-{F}(V4,V5), P_c_Suc-{F}(V5,V6), P_v_xa-{F}(V4,V7), P_c_Suc-{F}(V7,V6) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #67: exists( #15, #64 ), references = 1, size of lhs = 8:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4), P_v_x-{F}(V4,V5), P_v_xa-{F}(V4,V5) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #74: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #69 ), references = 1, size of lhs = 6:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_0-{F}(V3), P_c_Relation_OId-{F}(V4) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #79: mergings( V1 == V4, V2 == V5, V3 == V6; #75 ), references = 1, size of lhs = 5:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_tc_nat-{F}(V2), P_c_Relation_OId-{F}(V3) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #83: mergings( V1 == V3, V2 == V4; #80 ), references = 1, size of lhs = 4:
% 0.42/0.58 P_v_n-{F}(V0), P_v_m-{F}(V1), V0 == V1, P_c_Relation_OId-{F}(V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #86: mergings( V1 == V2; #84 ), references = 1, size of lhs = 2:
% 0.42/0.58 P_v_n-{F}(V0), P_c_Relation_OId-{F}(V1) | P_v_m-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #94: mergings( V1 == V2, V2 == V3, V3 == V4; #90 ), references = 1, size of lhs = 1:
% 0.42/0.58 P_c_Relation_OId-{F}(V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #96: exists( #7, #90 ), references = 1, size of lhs = 0:
% 0.42/0.58 FALSE | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of learnt formulas = 17
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58
% 0.42/0.58 randbase = 1
%------------------------------------------------------------------------------