TSTP Solution File: COM003+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM003+2 : TPTP v8.1.0. Bugfixed v2.2.0.
% 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:59:15 EDT 2022
% Result : Theorem 4.21s 4.36s
% Output : Refutation 4.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM003+2 : TPTP v8.1.0. Bugfixed v2.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 17:14:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.21/4.36 GeoParameters:
% 4.21/4.36
% 4.21/4.36 tptp_input = 1
% 4.21/4.36 tptp_output = 0
% 4.21/4.36 nonempty = 1
% 4.21/4.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.21/4.36
% 4.21/4.36
% 4.21/4.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.36
% 4.21/4.36 RuleSystem INPUT:
% 4.21/4.36
% 4.21/4.36 Initial Rules:
% 4.21/4.36 #0: input, references = 3, size of lhs = 1:
% 4.21/4.36 program_decides-{F}(V0) | pppp0-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #1: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp0-{F}(V0) | program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #2: input, references = 4, size of lhs = 3:
% 4.21/4.36 pppp0-{F}(V0), program-{F}(V1), #-{F} V2 | decides-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #3: input, references = 3, size of lhs = 1:
% 4.21/4.36 #-{F} V0 | pppp0-{T}(V0), pppp19-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #4: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp19-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #5: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #6: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp12-{F}(V0,V1) | program-{T}(V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #7: input, references = 4, size of lhs = 2:
% 4.21/4.36 pppp11-{F}(V0,V1,V2), decides-{F}(V0,V1,V2) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #8: input, references = 4, size of lhs = 1:
% 4.21/4.36 program_program_decides-{F}(V0) | pppp1-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #9: input, references = 7, size of lhs = 1:
% 4.21/4.36 pppp1-{F}(V0) | program_program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #10: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp1-{F}(V0) | program-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #11: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp1-{F}(V0) | program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #12: input, references = 7, size of lhs = 2:
% 4.21/4.36 program-{F}(V0), program_decides-{F}(V0) | pppp1-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #13: input, references = 3, size of lhs = 1:
% 4.21/4.36 algorithm_program_decides-{F}(V0) | pppp2-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #14: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp2-{F}(V0) | algorithm_program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #15: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp2-{F}(V0) | algorithm-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #16: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp2-{F}(V0) | program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #17: input, references = 3, size of lhs = 2:
% 4.21/4.36 algorithm-{F}(V0), program_decides-{F}(V0) | pppp2-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #18: input, references = 6, size of lhs = 1:
% 4.21/4.36 program_halts2-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #19: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp3-{F}(V0,V1) | program_halts2-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #20: input, references = 5, size of lhs = 1:
% 4.21/4.36 pppp3-{F}(V0,V1) | program-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #21: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp3-{F}(V0,V1) | halts2-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #22: input, references = 4, size of lhs = 2:
% 4.21/4.36 program-{F}(V0), halts2-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #23: input, references = 3, size of lhs = 1:
% 4.21/4.36 halts3_outputs-{F}(V0,V1,V2,V3) | pppp4-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #24: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp4-{F}(V0,V1,V2,V3) | halts3_outputs-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #25: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp4-{F}(V0,V1,V2,V3) | halts3-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #26: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp4-{F}(V0,V1,V2,V3) | outputs-{T}(V0,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #27: input, references = 3, size of lhs = 2:
% 4.21/4.36 halts3-{F}(V0,V1,V2), outputs-{F}(V0,V3) | pppp4-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #28: input, references = 7, size of lhs = 1:
% 4.21/4.36 program_not_halts2-{F}(V0,V1) | pppp5-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #29: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp5-{F}(V0,V1) | program_not_halts2-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #30: input, references = 5, size of lhs = 1:
% 4.21/4.36 pppp5-{F}(V0,V1) | program-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #31: input, references = 7, size of lhs = 2:
% 4.21/4.36 pppp5-{F}(V0,V1), halts2-{F}(V0,V1) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #32: input, references = 4, size of lhs = 2:
% 4.21/4.36 #-{F} V1, program-{F}(V0) | pppp5-{T}(V0,V1), halts2-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #33: input, references = 4, size of lhs = 1:
% 4.21/4.36 halts2_outputs-{F}(V0,V1,V2) | pppp6-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #34: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp6-{F}(V0,V1,V2) | halts2_outputs-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #35: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp6-{F}(V0,V1,V2) | halts2-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #36: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp6-{F}(V0,V1,V2) | outputs-{T}(V0,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #37: input, references = 3, size of lhs = 2:
% 4.21/4.36 halts2-{F}(V0,V1), outputs-{F}(V0,V2) | pppp6-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #38: input, references = 3, size of lhs = 1:
% 4.21/4.36 program_halts2_halts3_outputs-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #39: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp7-{F}(V0,V1,V2,V3) | program_halts2_halts3_outputs-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #40: input, references = 3, size of lhs = 2:
% 4.21/4.36 pppp7-{F}(V0,V1,V2,V3), program_halts2-{F}(V1,V2) | halts3_outputs-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #41: input, references = 5, size of lhs = 4:
% 4.21/4.36 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3), program_halts2-{T}(V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #42: input, references = 3, size of lhs = 1:
% 4.21/4.36 halts3_outputs-{F}(V0,V1,V2,V3) | pppp7-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #43: input, references = 3, size of lhs = 1:
% 4.21/4.36 program_not_halts2_halts3_outputs-{F}(V0,V1,V2,V3) | pppp8-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #44: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp8-{F}(V0,V1,V2,V3) | program_not_halts2_halts3_outputs-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #45: input, references = 3, size of lhs = 2:
% 4.21/4.36 pppp8-{F}(V0,V1,V2,V3), program_not_halts2-{F}(V1,V2) | halts3_outputs-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #46: input, references = 5, size of lhs = 4:
% 4.21/4.36 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp8-{T}(V0,V1,V2,V3), program_not_halts2-{T}(V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #47: input, references = 3, size of lhs = 1:
% 4.21/4.36 halts3_outputs-{F}(V0,V1,V2,V3) | pppp8-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #48: input, references = 3, size of lhs = 1:
% 4.21/4.36 program_halts2_halts2_outputs-{F}(V0,V1,V2) | pppp9-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #49: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp9-{F}(V0,V1,V2) | program_halts2_halts2_outputs-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #50: input, references = 3, size of lhs = 2:
% 4.21/4.36 pppp9-{F}(V0,V1,V2), program_halts2-{F}(V1,V1) | halts2_outputs-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #51: input, references = 4, size of lhs = 3:
% 4.21/4.36 #-{F} V0, #-{F} V1, #-{F} V2 | pppp9-{T}(V0,V1,V2), program_halts2-{T}(V1,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #52: input, references = 3, size of lhs = 1:
% 4.21/4.36 halts2_outputs-{F}(V0,V1,V2) | pppp9-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #53: input, references = 4, size of lhs = 1:
% 4.21/4.36 program_not_halts2_halts2_outputs-{F}(V0,V1,V2) | pppp10-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #54: input, references = 3, size of lhs = 1:
% 4.21/4.36 pppp10-{F}(V0,V1,V2) | program_not_halts2_halts2_outputs-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #55: input, references = 4, size of lhs = 2:
% 4.21/4.36 pppp10-{F}(V0,V1,V2), program_not_halts2-{F}(V1,V1) | halts2_outputs-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #56: input, references = 5, size of lhs = 3:
% 4.21/4.36 #-{F} V0, #-{F} V1, #-{F} V2 | pppp10-{T}(V0,V1,V2), program_not_halts2-{T}(V1,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #57: input, references = 3, size of lhs = 1:
% 4.21/4.36 halts2_outputs-{F}(V0,V1,V2) | pppp10-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #58: input, references = 4, size of lhs = 1:
% 4.21/4.36 algorithm_program_decides-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #59: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp13-{F}(V0) | program_program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #60: input, references = 4, size of lhs = 5:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1), program_program_decides-{F}(V2), #-{F} V3, #-{F} V4 | program_halts2_halts3_outputs-{T}(V2,V3,V4,V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #61: input, references = 4, size of lhs = 5:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1), program_program_decides-{F}(V2), #-{F} V3, #-{F} V4 | program_not_halts2_halts3_outputs-{T}(V2,V3,V4,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #62: input, references = 5, size of lhs = 3:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp20-{T}(V2,V0,V1), pppp21-{T}(V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #63: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #64: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp21-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V2,V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #65: input, references = 4, size of lhs = 2:
% 4.21/4.36 pppp15-{F}(V0,V1,V2), #-{F} V3 | program_not_halts2_halts2_outputs-{T}(V0,V3,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #66: input, references = 4, size of lhs = 2:
% 4.21/4.36 pppp15-{F}(V0,V1,V2), #-{F} V3 | program_halts2_halts2_outputs-{T}(V0,V3,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #67: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp15-{F}(V0,V1,V2) | program-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #68: input, references = 4, size of lhs = 3:
% 4.21/4.36 pppp14-{F}(V0,V1,V2,V3), program_halts2_halts3_outputs-{F}(V0,V3,V3,V1), program_not_halts2_halts3_outputs-{F}(V0,V3,V3,V2) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #69: input, references = 4, size of lhs = 3:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp22-{T}(V2,V0,V1), pppp23-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #70: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp22-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V2,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #71: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp23-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #72: input, references = 4, size of lhs = 2:
% 4.21/4.36 pppp17-{F}(V0,V1), #-{F} V2 | program_not_halts2_halts2_outputs-{T}(V0,V2,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #73: input, references = 4, size of lhs = 3:
% 4.21/4.36 pppp17-{F}(V0,V1), program_halts2-{F}(V2,V2), halts2-{F}(V0,V2) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #74: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp17-{F}(V0,V1) | program-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #75: input, references = 4, size of lhs = 3:
% 4.21/4.36 pppp16-{F}(V0,V1,V2,V3), program_halts2_halts2_outputs-{F}(V0,V3,V1), program_not_halts2_halts2_outputs-{F}(V0,V3,V2) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #76: input, references = 4, size of lhs = 2:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #77: input, references = 4, size of lhs = 1:
% 4.21/4.36 pppp18-{F}(V0) | algorithm_program_decides-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #78: input, references = 4, size of lhs = 0:
% 4.21/4.36 FALSE | EXISTS V0: P_good-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #79: input, references = 4, size of lhs = 0:
% 4.21/4.36 FALSE | EXISTS V0: P_bad-{T}(V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 number of initial rules = 80
% 4.21/4.36
% 4.21/4.36 Simplifiers:
% 4.21/4.36 #80: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 algorithm_program_decides-{F}(V0), algorithm_program_decides-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #81: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 algorithm-{F}(V0), algorithm-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #82: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #83: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 P_good-{F}(V0), P_good-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #84: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 P_bad-{F}(V0), P_bad-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #85: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #86: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V5), V1 == V4 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #87: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #88: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #89: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #90: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #91: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #92: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V1,V2), V0 == V3 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #93: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V1 == V4 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #94: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #95: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #96: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #97: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #98: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #99: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V1 == V3 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #100: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #101: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V1 == V4 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #102: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #103: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V0 == V2 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #104: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #105: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V1 == V4 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #106: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V2 == V5 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #107: unsound, references = 3, size of lhs = 3:
% 4.21/4.36 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 number of simplifiers = 28
% 4.21/4.36
% 4.21/4.36 Learnt:
% 4.21/4.36 #110: disj( #56, #28+#31 ), references = 1, size of lhs = 3:
% 4.21/4.36 halts2-{F}(V0,V0), #-{F} V1, #-{F} V2 | pppp10-{T}(V1,V0,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #113: disj( #46, #28+#31 ), references = 1, size of lhs = 3:
% 4.21/4.36 halts2-{F}(V0,V1), #-{F} V2, #-{F} V3 | pppp8-{T}(V2,V0,V1,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #116: exists( #5, #114 ), references = 2, size of lhs = 3:
% 4.21/4.36 pppp0-{F}(V0), pppp12-{F}(V0,V1), program-{F}(V1) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #119: exists( #4, #117 ), references = 1, size of lhs = 2:
% 4.21/4.36 pppp19-{F}(V0), pppp0-{F}(V0) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #129: mergings( V1 == V5, V4 == V2; #126 ), references = 1, size of lhs = 4:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1), program_program_decides-{F}(V2), pppp20-{F}(V2,V0,V1) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #133: mergings( V0 == V4, V3 == V1; #130 ), references = 6, size of lhs = 4:
% 4.21/4.36 program-{F}(V0), program_program_decides-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2) | pppp21-{T}(V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #147: mergings( V4 == V1, V2 == V5; #144 ), references = 2, size of lhs = 2:
% 4.21/4.36 pppp22-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V2) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #153: disj( #32, #29+#55+#33+#35+#31 ), references = 2, size of lhs = 2:
% 4.21/4.36 program-{F}(V0), pppp10-{F}(V0,V0,V1) | halts2-{T}(V0,V0)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #165: disj( #41, #18+#21+#31 ), references = 1, size of lhs = 3:
% 4.21/4.36 pppp5-{F}(V0,V1), #-{F} V2, #-{F} V3 | pppp7-{T}(V2,V0,V1,V3)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #173: exists( #71, #171 ), references = 1, size of lhs = 1:
% 4.21/4.36 pppp23-{F}(V0) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #175: disj( #69, exists( #71, #171 ) ), references = 2, size of lhs = 3:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp22-{T}(V2,V0,V1)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #183: exists( #64, #181 ), references = 5, size of lhs = 3:
% 4.21/4.36 P_good-{F}(V0), pppp21-{F}(V0,V1), P_bad-{F}(V1) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #190: disj( #51, #18+#20+#12+#9+#133+#182 ), references = 1, size of lhs = 5:
% 4.21/4.36 program_decides-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), #-{F} V3, #-{F} V4 | pppp9-{T}(V3,V0,V4)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #197: disj( #56, #28+#30+#12+#9+#133+#183 ), references = 1, size of lhs = 5:
% 4.21/4.36 program_decides-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), #-{F} V3, #-{F} V4 | pppp10-{T}(V3,V0,V4)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #204: disj( #41, #18+#20+#12+#9+#133+#183 ), references = 1, size of lhs = 6:
% 4.21/4.36 program_decides-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), #-{F} V3, #-{F} V4, #-{F} V5 | pppp7-{T}(V3,V0,V4,V5)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #211: disj( #46, #28+#30+#12+#9+#133+#183 ), references = 1, size of lhs = 6:
% 4.21/4.36 program_decides-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), #-{F} V3, #-{F} V4, #-{F} V5 | pppp8-{T}(V3,V0,V4,V5)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #217: disj( #62, exists( #64, #181 ) ), references = 1, size of lhs = 3:
% 4.21/4.36 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2) | pppp20-{T}(V0,V1,V2)
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #233: exists( #58, #229 ), references = 1, size of lhs = 3:
% 4.21/4.36 algorithm_program_decides-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #240: mergings( V0 == V3, V1 == V4; #236 ), references = 1, size of lhs = 2:
% 4.21/4.36 P_good-{F}(V0), P_bad-{F}(V1) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #244: mergings( V1 == V2; #241 ), references = 1, size of lhs = 1:
% 4.21/4.36 P_good-{F}(V0) | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 #247: exists( #78, #241 ), references = 1, size of lhs = 0:
% 4.21/4.36 FALSE | FALSE
% 4.21/4.36 (used 0 times, uses = {})
% 4.21/4.36
% 4.21/4.36 number of learnt formulas = 21
% 4.21/4.36
% 4.21/4.36
% 4.21/4.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.36
% 4.21/4.36 randbase = 1
%------------------------------------------------------------------------------