TSTP Solution File: CAT020-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CAT020-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Fri Jul 15 00:04:37 EDT 2022
% Result : Satisfiable 0.18s 0.48s
% Output : Saturation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT020-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.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 : 600
% 0.12/0.33 % DateTime : Sun May 29 18:40:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.48 % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 |- codomain (domain $X) = domain $X
% 0.18/0.48 |- domain (codomain $X) = codomain $X
% 0.18/0.48 |- compose (domain $X) $X = $X
% 0.18/0.48 |- compose $X (codomain $X) = $X
% 0.18/0.48 |- ~(codomain $X = domain $Y) \/ domain (compose $X $Y) = domain $X
% 0.18/0.48 |- ~(codomain $X = domain $Y) \/ codomain (compose $X $Y) = codomain $Y
% 0.18/0.48 |- ~(codomain $X = domain $Y) \/ ~(codomain $Y = domain $Z) \/
% 0.18/0.48 compose $X (compose $Y $Z) = compose (compose $X $Y) $Z
% 0.18/0.48 |- ~(codomain $Z = domain $Z) \/
% 0.18/0.48 compose $Z (compose $Z $Z) = compose (compose $Z $Z) $Z
% 0.18/0.48 |- compose (codomain $_2) (codomain $_2) = codomain $_2
% 0.18/0.48 |- codomain (codomain $_2) = codomain $_2
% 0.18/0.48 |- domain (domain $X) = domain $X
% 0.18/0.48 |- compose (domain $X) (domain $X) = domain $X
% 0.18/0.48 |- ~(codomain $_2 = domain $_10) \/
% 0.18/0.48 domain (compose (codomain $_2) $_10) = codomain $_2
% 0.18/0.48 |- ~(domain $X = domain $_10) \/
% 0.18/0.48 domain (compose (domain $X) $_10) = domain $X
% 0.18/0.48 |- ~(codomain $_9 = codomain $X) \/
% 0.18/0.48 domain (compose $_9 (codomain $X)) = domain $_9
% 0.18/0.48 |- ~(codomain $_9 = domain $X) \/
% 0.18/0.48 domain (compose $_9 (domain $X)) = domain $_9
% 0.18/0.48 |- ~(codomain $_2 = domain $_12) \/
% 0.18/0.48 codomain (compose (codomain $_2) $_12) = codomain $_12
% 0.18/0.48 |- ~(domain $X = domain $_12) \/
% 0.18/0.48 codomain (compose (domain $X) $_12) = codomain $_12
% 0.18/0.48 |- ~(codomain $_11 = codomain $X) \/
% 0.18/0.48 codomain (compose $_11 (codomain $X)) = codomain $X
% 0.18/0.48 |- ~(codomain $_11 = domain $X) \/
% 0.18/0.48 codomain (compose $_11 (domain $X)) = domain $X
% 0.18/0.48 |- ~(domain $_15 = codomain $X) \/
% 0.18/0.48 domain (compose (domain $_15) (codomain $X)) = domain $_15
% 0.18/0.48 |- ~(domain $_15 = domain $X) \/
% 0.18/0.48 domain (compose (domain $_15) (domain $X)) = domain $_15
% 0.18/0.48 |- ~(codomain $_2 = domain $_19) \/
% 0.18/0.48 domain (compose (codomain $_2) (domain $_19)) = codomain $_2
% 0.18/0.48 |- ~(domain $_23 = codomain $X) \/
% 0.18/0.48 codomain (compose (domain $_23) (codomain $X)) = codomain $X
% 0.18/0.48 |- ~(domain $_23 = domain $X) \/
% 0.18/0.48 codomain (compose (domain $_23) (domain $X)) = domain $X
% 0.18/0.48 |- ~(codomain $_2 = domain $_27) \/
% 0.18/0.48 codomain (compose (codomain $_2) (domain $_27)) = domain $_27
% 0.18/0.48 |- ~(codomain $_34 = codomain $X) \/
% 0.18/0.48 domain (compose (codomain $_34) (codomain $X)) = codomain $_34
% 0.18/0.48 |- ~(codomain $_39 = codomain $X) \/
% 0.18/0.48 codomain (compose (codomain $_39) (codomain $X)) = codomain $X
% 0.18/0.48 |- ~(codomain $_2 = domain $_47) \/ ~(codomain $_45 = codomain $_2) \/
% 0.18/0.48 compose $_45 (compose (codomain $_2) $_47) =
% 0.18/0.48 compose (compose $_45 (codomain $_2)) $_47
% 0.18/0.48 |- ~(codomain $_45 = domain $X) \/ ~(domain $X = domain $_47) \/
% 0.18/0.48 compose $_45 (compose (domain $X) $_47) =
% 0.18/0.48 compose (compose $_45 (domain $X)) $_47
% 0.18/0.48 |- ~(codomain $_45 = domain $_46) \/ ~(codomain $_46 = codomain $X) \/
% 0.18/0.48 compose $_45 (compose $_46 (codomain $X)) =
% 0.18/0.48 compose (compose $_45 $_46) (codomain $X)
% 0.18/0.48 |- ~(codomain $_45 = domain $_46) \/ ~(codomain $_46 = domain $X) \/
% 0.18/0.48 compose $_45 (compose $_46 (domain $X)) =
% 0.18/0.48 compose (compose $_45 $_46) (domain $X)
% 0.18/0.48 |- ~(codomain $_2 = domain $_46) \/ ~(codomain $_46 = domain $_47) \/
% 0.18/0.48 compose (codomain $_2) (compose $_46 $_47) =
% 0.18/0.48 compose (compose (codomain $_2) $_46) $_47
% 0.18/0.48 |- ~(codomain $_46 = domain $_47) \/ ~(domain $X = domain $_46) \/
% 0.18/0.48 compose (domain $X) (compose $_46 $_47) =
% 0.18/0.48 compose (compose (domain $X) $_46) $_47
% 0.18/0.48 |- ~(codomain $_2 = domain $_47) \/
% 0.18/0.48 compose $_2 (compose (codomain $_2) $_47) = compose $_2 $_47
% 0.18/0.48 |- ~(codomain $_45 = domain $_47) \/
% 0.18/0.48 compose $_45 $_47 = compose (compose $_45 (domain $_47)) $_47
% 0.18/0.48 |- ~(codomain $_45 = domain $X) \/
% 0.18/0.48 compose $_45 $X = compose (compose $_45 $X) (codomain $X)
% 0.18/0.48 |- ~(codomain $_47 = domain $_47) \/
% 0.18/0.48 compose (codomain $_47) (compose $_47 $_47) =
% 0.18/0.48 compose (compose (codomain $_47) $_47) $_47
% 0.18/0.48 |- ~(codomain $_46 = domain $_47) \/
% 0.18/0.48 compose (domain $_46) (compose $_46 $_47) = compose $_46 $_47
% 0.18/0.48 |- ~(domain $X = domain $_48) \/
% 0.18/0.48 compose (domain $X) $_48 =
% 0.18/0.48 compose (compose (domain $X) $_48) (codomain $_48)
% 0.18/0.48 |- ~(codomain $_49 = codomain $X) \/
% 0.18/0.48 compose $_49 (codomain $X) =
% 0.18/0.48 compose (compose $_49 (codomain $X)) (codomain $X)
% 0.18/0.48 |- ~(codomain $_49 = domain $X) \/
% 0.18/0.48 compose $_49 (domain $X) =
% 0.18/0.48 compose (compose $_49 (domain $X)) (domain $X)
% 0.18/0.48 |- ~(codomain $_2 = domain $_52) \/
% 0.18/0.48 compose (codomain $_2) (compose (codomain $_2) $_52) =
% 0.18/0.48 compose (codomain $_2) $_52
% 0.18/0.48 |- ~(codomain $_51 = codomain $X) \/
% 0.18/0.48 compose $_51 (compose (codomain $_51) (codomain $X)) =
% 0.18/0.48 compose $_51 (codomain $X)
% 0.18/0.48 |- ~(codomain $_51 = domain $X) \/
% 0.18/0.48 compose $_51 (compose (codomain $_51) (domain $X)) =
% 0.18/0.48 compose $_51 (domain $X)
% 0.18/0.48 |- ~(codomain $_2 = domain $_54) \/
% 0.18/0.48 compose (codomain $_2) $_54 =
% 0.18/0.48 compose (compose (codomain $_2) (domain $_54)) $_54
% 0.18/0.48 |- ~(domain $X = domain $_54) \/
% 0.18/0.48 compose (domain $X) $_54 =
% 0.18/0.48 compose (compose (domain $X) (domain $_54)) $_54
% 0.18/0.48 |- ~(codomain $_55 = codomain $X) \/
% 0.18/0.48 compose (domain $_55) (compose $_55 (codomain $X)) =
% 0.18/0.48 compose $_55 (codomain $X)
% 0.18/0.48 |- ~(codomain $_55 = domain $X) \/
% 0.18/0.48 compose (domain $_55) (compose $_55 (domain $X)) =
% 0.18/0.48 compose $_55 (domain $X)
% 0.18/0.48 |- ~(codomain $X = domain $_58) \/
% 0.18/0.48 compose (codomain $X) $_58 =
% 0.18/0.48 compose (compose (codomain $X) $_58) (codomain $_58)
% 0.18/0.48 |- ~(domain $X = domain $_59) \/
% 0.18/0.48 compose (domain $X) (compose (domain $X) (domain $_59)) =
% 0.18/0.48 compose (domain $X) (domain $_59)
% 0.18/0.48 |- ~(codomain $_2 = domain $_67) \/
% 0.18/0.48 compose (codomain $_2) (domain $_67) =
% 0.18/0.48 compose (compose (codomain $_2) (domain $_67)) (domain $_67)
% 0.18/0.48 |- ~(domain $X = domain $_67) \/
% 0.18/0.48 compose (domain $X) (domain $_67) =
% 0.18/0.48 compose (compose (domain $X) (domain $_67)) (domain $_67)
% 0.18/0.48 |- ~(domain $X = domain $_70) \/
% 0.18/0.48 compose (domain $X) (compose (domain $X) $_70) =
% 0.18/0.48 compose (domain $X) $_70
% 0.18/0.48 |- ~(codomain $_2 = domain $_75) \/
% 0.18/0.48 compose (codomain $_2) (compose (codomain $_2) (domain $_75)) =
% 0.18/0.48 compose (codomain $_2) (domain $_75)
% 0.18/0.48 |- ~(domain $_79 = codomain $X) \/
% 0.18/0.48 compose (domain $_79) (codomain $X) =
% 0.18/0.48 compose (compose (domain $_79) (codomain $X)) (codomain $X)
% 0.18/0.48 |- ~(codomain $_83 = codomain $X) \/
% 0.18/0.48 compose (codomain $_83) (compose (codomain $_83) (codomain $X)) =
% 0.18/0.48 compose (codomain $_83) (codomain $X)
% 0.18/0.48 |- ~(domain $X = codomain $_85) \/
% 0.18/0.48 compose (domain $X) (compose (domain $X) (codomain $_85)) =
% 0.18/0.48 compose (domain $X) (codomain $_85)
% 0.18/0.48 |- ~(codomain $X = codomain $_93) \/
% 0.18/0.48 compose (codomain $X) (codomain $_93) =
% 0.18/0.48 compose (compose (codomain $X) (codomain $_93)) (codomain $_93)
% 0.18/0.48 |- ~(codomain $_97 = domain $X) \/
% 0.18/0.48 compose (domain $X) (compose (codomain $_97) $X) =
% 0.18/0.48 compose (compose (domain $X) (codomain $_97)) $X
% 0.18/0.48 |- ~(codomain $_97 = codomain $_98) \/
% 0.18/0.48 compose $_98 (compose (codomain $_97) (codomain $_98)) =
% 0.18/0.48 compose (compose $_98 (codomain $_97)) (codomain $_98)
% 0.18/0.48 |- ~(domain $X = domain $_100) \/
% 0.18/0.48 compose (domain $_100) (compose (domain $X) $_100) =
% 0.18/0.48 compose (compose (domain $_100) (domain $X)) $_100
% 0.18/0.48 |- ~(codomain $_101 = codomain $X) \/
% 0.18/0.48 compose (codomain $X) (compose (codomain $_101) (codomain $X)) =
% 0.18/0.48 compose (compose (codomain $X) (codomain $_101)) (codomain $X)
% 0.18/0.48 |- ~(codomain $_101 = domain $X) \/
% 0.18/0.48 compose (domain $X) (compose (codomain $_101) (domain $X)) =
% 0.18/0.48 compose (compose (domain $X) (codomain $_101)) (domain $X)
% 0.18/0.48 |- ~(domain $X = codomain $_103) \/
% 0.18/0.48 compose $_103 (compose (domain $X) (codomain $_103)) =
% 0.18/0.48 compose (compose $_103 (domain $X)) (codomain $_103)
% 0.18/0.48 |- ~(domain $X = domain $_110) \/
% 0.18/0.48 compose (domain $_110) (compose (domain $X) (domain $_110)) =
% 0.18/0.48 compose (compose (domain $_110) (domain $X)) (domain $_110)
% 0.18/0.48 |- ~(domain $_112 = codomain $X) \/
% 0.18/0.48 compose (codomain $X) (compose (domain $_112) (codomain $X)) =
% 0.18/0.48 compose (compose (codomain $X) (domain $_112)) (codomain $X)
% 0.18/0.48 |- ~(codomain $_117 = domain $_116) \/ ~(domain $_116 = codomain $X) \/
% 0.18/0.48 compose $_117 (compose (domain $_116) (codomain $X)) =
% 0.18/0.48 compose (compose $_117 (domain $_116)) (codomain $X)
% 0.18/0.48 |- ~(codomain $_117 = domain $_116) \/ ~(domain $_116 = domain $X) \/
% 0.18/0.48 compose $_117 (compose (domain $_116) (domain $X)) =
% 0.18/0.48 compose (compose $_117 (domain $_116)) (domain $X)
% 0.18/0.49 |- ~(codomain $_2 = domain $_116) \/ ~(domain $_116 = domain $_118) \/
% 0.18/0.49 compose (codomain $_2) (compose (domain $_116) $_118) =
% 0.18/0.49 compose (compose (codomain $_2) (domain $_116)) $_118
% 0.18/0.49 |- ~(domain $X = domain $_116) \/ ~(domain $_116 = domain $_118) \/
% 0.18/0.49 compose (domain $X) (compose (domain $_116) $_118) =
% 0.18/0.49 compose (compose (domain $X) (domain $_116)) $_118
% 0.18/0.49 |- ~(codomain $_120 = codomain $_2) \/ ~(codomain $_2 = codomain $_119) \/
% 0.18/0.49 compose $_120 (compose (codomain $_2) (codomain $_119)) =
% 0.18/0.49 compose (compose $_120 (codomain $_2)) (codomain $_119)
% 0.18/0.49 |- ~(codomain $_121 = codomain $_119) \/ ~(codomain $_2 = domain $_121) \/
% 0.18/0.49 compose (codomain $_2) (compose $_121 (codomain $_119)) =
% 0.18/0.49 compose (compose (codomain $_2) $_121) (codomain $_119)
% 0.18/0.49 |- ~(codomain $_123 = codomain $_2) \/ ~(codomain $_2 = domain $_122) \/
% 0.18/0.49 compose $_123 (compose (codomain $_2) (domain $_122)) =
% 0.18/0.49 compose (compose $_123 (codomain $_2)) (domain $_122)
% 0.18/0.49 |- ~(codomain $_124 = domain $_122) \/ ~(codomain $_2 = domain $_124) \/
% 0.18/0.49 compose (codomain $_2) (compose $_124 (domain $_122)) =
% 0.18/0.49 compose (compose (codomain $_2) $_124) (domain $_122)
% 0.18/0.49 |- ~(codomain $_124 = domain $_122) \/ ~(domain $X = domain $_124) \/
% 0.18/0.49 compose (domain $X) (compose $_124 (domain $_122)) =
% 0.18/0.49 compose (compose (domain $X) $_124) (domain $_122)
% 0.18/0.49 |- ~(codomain $_125 = codomain $_2) \/ ~(codomain $_2 = domain $_127) \/
% 0.18/0.49 compose (codomain $_125) (compose (codomain $_2) $_127) =
% 0.18/0.49 compose (compose (codomain $_125) (codomain $_2)) $_127
% 0.18/0.49 |- ~(codomain $X = domain $_130) \/ ~(domain $_128 = codomain $X) \/
% 0.18/0.49 compose (domain $_128) (compose (codomain $X) $_130) =
% 0.18/0.49 compose (compose (domain $_128) (codomain $X)) $_130
% 0.18/0.49 |- ~(codomain $_129 = codomain $X) \/ ~(domain $_128 = domain $_129) \/
% 0.18/0.49 compose (domain $_128) (compose $_129 (codomain $X)) =
% 0.18/0.49 compose (compose (domain $_128) $_129) (codomain $X)
% 0.18/0.49 |- ~(codomain $_2 = domain $_135) \/ ~(domain $_135 = domain $_134) \/
% 0.18/0.49 compose (codomain $_2) (compose (domain $_135) (domain $_134)) =
% 0.18/0.49 compose (compose (codomain $_2) (domain $_135)) (domain $_134)
% 0.18/0.49 |- ~(domain $X = domain $_135) \/ ~(domain $_135 = domain $_134) \/
% 0.18/0.49 compose (domain $X) (compose (domain $_135) (domain $_134)) =
% 0.18/0.49 compose (compose (domain $X) (domain $_135)) (domain $_134)
% 0.18/0.49 |- ~(domain $_140 = domain $_141) \/ ~(domain $_141 = codomain $X) \/
% 0.18/0.49 compose (domain $_140) (compose (domain $_141) (codomain $X)) =
% 0.18/0.49 compose (compose (domain $_140) (domain $_141)) (codomain $X)
% 0.18/0.49 |- ~(codomain $_145 = domain $_143) \/ ~(domain $X = codomain $_145) \/
% 0.18/0.49 compose (domain $X) (compose (codomain $_145) (domain $_143)) =
% 0.18/0.49 compose (compose (domain $X) (codomain $_145)) (domain $_143)
% 0.18/0.49 |- ~(codomain $_160 = codomain $_158) \/
% 0.18/0.49 ~(codomain $_2 = codomain $_160) \/
% 0.18/0.49 compose (codomain $_2) (compose (codomain $_160) (codomain $_158)) =
% 0.18/0.49 compose (compose (codomain $_2) (codomain $_160)) (codomain $_158)
% 0.18/0.49 |- ~(codomain $_160 = codomain $_158) \/ ~(domain $X = codomain $_160) \/
% 0.18/0.49 compose (domain $X) (compose (codomain $_160) (codomain $_158)) =
% 0.18/0.49 compose (compose (domain $X) (codomain $_160)) (codomain $_158)
% 0.18/0.49 |- ~(codomain $_163 = domain $X) \/ ~(domain $X = codomain $_161) \/
% 0.18/0.49 compose (codomain $_163) (compose (domain $X) (codomain $_161)) =
% 0.18/0.49 compose (compose (codomain $_163) (domain $X)) (codomain $_161)
% 0.18/0.49 |- ~(codomain $_164 = codomain $_166) \/ ~(codomain $_166 = domain $X) \/
% 0.18/0.49 compose (codomain $_164) (compose (codomain $_166) (domain $X)) =
% 0.18/0.49 compose (compose (codomain $_164) (codomain $_166)) (domain $X)
% 0.18/0.49 SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49
%------------------------------------------------------------------------------