%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX174^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 : Wed Sep 30 08:40:45 AM UTC 2026
% Result : Theorem 0.23s 0.32s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX174^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 % Computer : n019.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 16:09:48 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.27 Running first-order model finding
% 0.23/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.32 % (979546)Will run a generic schedule for satisfiability detection.
% 0.23/0.32 % (979552)% WARNING: option uhcvi not known.
% 0.23/0.32 % (979552)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1725176522:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.32 % (979551)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=434950668_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.32 % (979552)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.23/0.32 % (979552)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.23/0.32 % (979552) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-979546-979552"...
% 0.23/0.32 % Exception at run slice level
% 0.23/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.32 % (979554)dis+10_1_sil=32000:sp=arity:random_seed=455959499:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.32 % (979552)...printing done.
% 0.23/0.32 % (979554) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-979546-979554"...
% 0.23/0.32 % (979552)Refutation found. Thanks to Tanya!
% 0.23/0.32 % SZS status Theorem for theBenchmark
% 0.23/0.32 % SZS output start Proof for theBenchmark
% 0.23/0.32 thf(type_def_5, type, unsorted: $tType).
% 0.23/0.32 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.32 thf(type_def_7, type, d_unsorted: $tType).
% 0.23/0.32 thf(func_def_0, type, irel: ($i > $i > $o)).
% 0.23/0.32 thf(func_def_1, type, mnot: (($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_2, type, mor: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_3, type, mand: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_4, type, mimplies: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_5, type, mbox_s4: (($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_6, type, iatom: (($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_7, type, inot: (($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_8, type, itrue: ($i > $o)).
% 0.23/0.32 thf(func_def_9, type, ifalse: ($i > $o)).
% 0.23/0.32 thf(func_def_10, type, iand: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_11, type, ior: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_12, type, iimplies: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_13, type, iimplied: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_14, type, iequiv: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_15, type, ixor: (($i > $o) > ($i > $o) > $i > $o)).
% 0.23/0.32 thf(func_def_16, type, ivalid: (($i > $o) > $o)).
% 0.23/0.32 thf(func_def_17, type, isatisfiable: (($i > $o) > $o)).
% 0.23/0.32 thf(func_def_18, type, icountersatisfiable: (($i > $o) > $o)).
% 0.23/0.32 thf(func_def_19, type, iinvalid: (($i > $o) > $o)).
% 0.23/0.32 thf(func_def_20, type, d2unsorted: (d_unsorted > $i)).
% 0.23/0.32 thf(func_def_21, type, d_unsorted_0: d_unsorted).
% 0.23/0.32 thf(func_def_23, type, vNOT: ($o > $o)).
% 0.23/0.32 thf(func_def_24, type, db1: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_25, type, db0: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_26, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.23/0.32 thf(func_def_27, type, vOR: ($o > $o > $o)).
% 0.23/0.32 thf(func_def_28, type, db2: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_29, type, vAND: ($o > $o > $o)).
% 0.23/0.32 thf(func_def_30, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.23/0.32 thf(func_def_31, type, db3: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_32, type, db6: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_33, type, db4: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_34, type, db5: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_37, type, sK0: ($i > d_unsorted)).
% 0.23/0.32 thf(f1,axiom,(
% 0.23/0.32 ~(ifalse @ (d2unsorted @ d_unsorted_0)) & (itrue @ (d2unsorted @ d_unsorted_0)) & (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)) & (iinvalid = (^[X14 : ($i > $o)] : (! [X15 : $i] : ~(X14 @ X15)))) & (icountersatisfiable = (^[X14 : ($i > $o)] : (~ ! [X15 : $i] : (X14 @ X15)))) & (isatisfiable = (^[X14 : ($i > $o)] : (~ ! [X15 : $i] : ~(X14 @ X15)))) & (ivalid = (^[X14 : ($i > $o)] : (! [X15 : $i] : (X14 @ X15)))) & (ixor = (^[X8 : ($i > $o), X9 : ($i > $o), X7 : $i] : (~ ! [X5 : $i,X10 : $i,X11 : $i] : ((((X8 @ X11) | ~(irel @ X5 @ X11) | ~ ! [X13 : $i] : ((X9 @ X13) | ~(irel @ X5 @ X13))) & ((X9 @ X10) | ~(irel @ X5 @ X10) | ~ ! [X12 : $i] : ((X8 @ X12) | ~(irel @ X5 @ X12)))) | ~(irel @ X7 @ X5))))) & (iequiv = (^[X8 : ($i > $o), X9 : ($i > $o), X7 : $i] : ((! [X5 : $i] : ((X8 @ X5) | ~(irel @ X7 @ X5)) | ~ ! [X5 : $i] : ((X9 @ X5) | ~(irel @ X7 @ X5))) & (! [X5 : $i] : ((X9 @ X5) | ~(irel @ X7 @ X5)) | ~ ! [X5 : $i] : ((X8 @ X5) | ~(irel @ X7 @ X5)))))) & (iimplied = (^[X8 : ($i > $o), X9 : ($i > $o), X7 : $i] : (! [X5 : $i] : ((X8 @ X5) | ~(irel @ X7 @ X5)) | ~ ! [X5 : $i] : ((X9 @ X5) | ~(irel @ X7 @ X5))))) & (iimplies = (^[X8 : ($i > $o), X9 : ($i > $o), X7 : $i] : (! [X5 : $i] : ((X9 @ X5) | ~(irel @ X7 @ X5)) | ~ ! [X5 : $i] : ((X8 @ X5) | ~(irel @ X7 @ X5))))) & (ior = (^[X8 : ($i > $o), X9 : ($i > $o), X7 : $i] : (! [X5 : $i] : ((X9 @ X5) | ~(irel @ X7 @ X5)) | ! [X5 : $i] : ((X8 @ X5) | ~(irel @ X7 @ X5))))) & (iand = (^[X8 : ($i > $o), X9 : ($i > $o), X7 : $i] : ((X9 @ X7) & (X8 @ X7)))) & (inot = (^[X8 : ($i > $o), X7 : $i] : (~ ! [X5 : $i] : ((X8 @ X5) | ~(irel @ X7 @ X5))))) & (iatom = (^[X8 : ($i > $o), X7 : $i] : ((X8 @ X7)))) & (mbox_s4 = (^[X8 : ($i > $o), X4 : $i] : (! [X5 : $i] : ((X8 @ X5) | ~(irel @ X4 @ X5))))) & (mimplies = (^[X0 : ($i > $o), X6 : ($i > $o), X7 : $i] : ((X6 @ X7) | ~(X0 @ X7)))) & (mand = (^[X4 : ($i > $o), X5 : ($i > $o), X0 : $i] : ((X5 @ X0) & (X4 @ X0)))) & (mor = (^[X4 : ($i > $o), X5 : ($i > $o), X0 : $i] : ((X5 @ X0) | (X4 @ X0)))) & (mnot = (^[X4 : ($i > $o), X0 : $i] : (~(X4 @ X0)))) & ! [X2 : d_unsorted,X3 : d_unsorted] : ((((d2unsorted @ X2)) = ((d2unsorted @ X3))) => (X2 = X3)) & ! [X1 : d_unsorted] : (X1 = d_unsorted_0) & ! [X0 : $i] : ? [X1 : d_unsorted] : (X0 = ((d2unsorted @ X1)))),
% 0.23/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcl695_1)).
% 0.23/0.32 thf(f2,conjecture,(
% 0.23/0.32 (iimplies = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1)))))),
% 0.23/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplies)).
% 0.23/0.32 thf(f3,negated_conjecture,(
% 0.23/0.32 ~ (iimplies = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1)))))),
% 0.23/0.32 inference(negated_conjecture,[status(cth)],[f2])).
% 0.23/0.32 thf(f4,plain,(
% 0.23/0.32 ~(ifalse @ (d2unsorted @ d_unsorted_0)) & (itrue @ (d2unsorted @ d_unsorted_0)) & (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)) & (iinvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : ~(X0 @ X1)))) & (icountersatisfiable = (^[X2 : ($i > $o)] : (~ ! [X3 : $i] : (X2 @ X3)))) & (isatisfiable = (^[X4 : ($i > $o)] : (~ ! [X5 : $i] : ~(X4 @ X5)))) & (ivalid = (^[X6 : ($i > $o)] : (! [X7 : $i] : (X6 @ X7)))) & (ixor = (^[X8 : ($i > $o), X9 : ($i > $o), X10 : $i] : (~ ! [X11 : $i,X12 : $i,X13 : $i] : ((((X8 @ X13) | ~(irel @ X11 @ X13) | ~ ! [X14 : $i] : ((X9 @ X14) | ~(irel @ X11 @ X14))) & ((X9 @ X12) | ~(irel @ X11 @ X12) | ~ ! [X15 : $i] : ((X8 @ X15) | ~(irel @ X11 @ X15)))) | ~(irel @ X10 @ X11))))) & (iequiv = (^[X16 : ($i > $o), X17 : ($i > $o), X18 : $i] : ((! [X19 : $i] : ((X16 @ X19) | ~(irel @ X18 @ X19)) | ~ ! [X20 : $i] : ((X17 @ X20) | ~(irel @ X18 @ X20))) & (! [X21 : $i] : ((X17 @ X21) | ~(irel @ X18 @ X21)) | ~ ! [X22 : $i] : ((X16 @ X22) | ~(irel @ X18 @ X22)))))) & (iimplied = (^[X23 : ($i > $o), X24 : ($i > $o), X25 : $i] : (! [X26 : $i] : ((X23 @ X26) | ~(irel @ X25 @ X26)) | ~ ! [X27 : $i] : ((X24 @ X27) | ~(irel @ X25 @ X27))))) & (iimplies = (^[X28 : ($i > $o), X29 : ($i > $o), X30 : $i] : (! [X31 : $i] : ((X29 @ X31) | ~(irel @ X30 @ X31)) | ~ ! [X32 : $i] : ((X28 @ X32) | ~(irel @ X30 @ X32))))) & (ior = (^[X33 : ($i > $o), X34 : ($i > $o), X35 : $i] : (! [X36 : $i] : ((X34 @ X36) | ~(irel @ X35 @ X36)) | ! [X37 : $i] : ((X33 @ X37) | ~(irel @ X35 @ X37))))) & (iand = (^[X38 : ($i > $o), X39 : ($i > $o), X40 : $i] : ((X39 @ X40) & (X38 @ X40)))) & (inot = (^[X41 : ($i > $o), X42 : $i] : (~ ! [X43 : $i] : ((X41 @ X43) | ~(irel @ X42 @ X43))))) & (iatom = (^[X44 : ($i > $o), X45 : $i] : ((X44 @ X45)))) & (mbox_s4 = (^[X46 : ($i > $o), X47 : $i] : (! [X48 : $i] : ((X46 @ X48) | ~(irel @ X47 @ X48))))) & (mimplies = (^[X49 : ($i > $o), X50 : ($i > $o), X51 : $i] : ((X50 @ X51) | ~(X49 @ X51)))) & (mand = (^[X52 : ($i > $o), X53 : ($i > $o), X54 : $i] : ((X53 @ X54) & (X52 @ X54)))) & (mor = (^[X55 : ($i > $o), X56 : ($i > $o), X57 : $i] : ((X56 @ X57) | (X55 @ X57)))) & (mnot = (^[X58 : ($i > $o), X59 : $i] : (~(X58 @ X59)))) & ! [X60 : d_unsorted,X61 : d_unsorted] : ((((d2unsorted @ X60)) = ((d2unsorted @ X61))) => (X60 = X61)) & ! [X62 : d_unsorted] : (d_unsorted_0 = X62) & ! [X63 : $i] : ? [X64 : d_unsorted] : (((d2unsorted @ X64)) = X63)),
% 0.23/0.32 inference(rectify,[],[f1])).
% 0.23/0.32 thf(f5,plain,(
% 0.23/0.32 ~ (((ifalse @ (d2unsorted @ d_unsorted_0))) = $true) & (((itrue @ (d2unsorted @ d_unsorted_0))) = $true) & (((irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) = $true) & (iinvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))) & (icountersatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (isatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))) & (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) & (ixor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (irel @ Y2 @ Y5)) | ((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y0 @ Y6))))) | (~ (irel @ Y5 @ Y4))) | (Y1 @ Y4)) & (((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y1 @ Y6))))) | (~ (irel @ Y5 @ Y3))) | (Y0 @ Y3))))))))))))))))) & (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) & ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))))))))))) & (iimplied = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))))))))) & (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2))))))))) & (iatom = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1))))) & (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2)))))))) & (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y0 @ Y2)) | (Y1 @ Y2)))))))) & (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2)))))))) & (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))) & ! [X60 : d_unsorted,X61 : d_unsorted] : ((((d2unsorted @ X60)) = ((d2unsorted @ X61))) => (X60 = X61)) & ! [X62 : d_unsorted] : (d_unsorted_0 = X62) & ! [X63 : $i] : ? [X64 : d_unsorted] : (((d2unsorted @ X64)) = X63)),
% 0.23/0.32 inference(fool_elimination,[],[f4])).
% 0.23/0.32 thf(f6,plain,(
% 0.23/0.32 ~ (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.23/0.32 inference(fool_elimination,[],[f3])).
% 0.23/0.32 thf(f7,plain,(
% 0.23/0.32 ~ (((ifalse @ (d2unsorted @ d_unsorted_0))) = $true) & (((itrue @ (d2unsorted @ d_unsorted_0))) = $true) & (((irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) = $true) & (iinvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))) & (icountersatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (isatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))) & (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) & (ixor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (irel @ Y2 @ Y5)) | ((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y0 @ Y6))))) | (~ (irel @ Y5 @ Y4))) | (Y1 @ Y4)) & (((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y1 @ Y6))))) | (~ (irel @ Y5 @ Y3))) | (Y0 @ Y3))))))))))))))))) & (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) & ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))))))))))) & (iimplied = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))))))))) & (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2))))))))) & (iatom = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1))))) & (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2)))))))) & (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y0 @ Y2)) | (Y1 @ Y2)))))))) & (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2)))))))) & (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((((d2unsorted @ X1)) = ((d2unsorted @ X0))) => (X0 = X1)) & ! [X2 : d_unsorted] : (d_unsorted_0 = X2) & ! [X3 : $i] : ? [X4 : d_unsorted] : (((d2unsorted @ X4)) = X3)),
% 0.23/0.32 inference(rectify,[],[f5])).
% 0.23/0.32 thf(f8,plain,(
% 0.23/0.32 (((ifalse @ (d2unsorted @ d_unsorted_0))) != $true) & (((itrue @ (d2unsorted @ d_unsorted_0))) = $true) & (((irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) = $true) & (iinvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))) & (icountersatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (isatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))) & (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) & (ixor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (irel @ Y2 @ Y5)) | ((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y0 @ Y6))))) | (~ (irel @ Y5 @ Y4))) | (Y1 @ Y4)) & (((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y1 @ Y6))))) | (~ (irel @ Y5 @ Y3))) | (Y0 @ Y3))))))))))))))))) & (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) & ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))))))))))) & (iimplied = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))))))))) & (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2))))))))) & (iatom = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1))))) & (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2)))))))) & (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y0 @ Y2)) | (Y1 @ Y2)))))))) & (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2)))))))) & (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((((d2unsorted @ X1)) = ((d2unsorted @ X0))) => (X0 = X1)) & ! [X2 : d_unsorted] : (d_unsorted_0 = X2) & ! [X3 : $i] : ? [X4 : d_unsorted] : (((d2unsorted @ X4)) = X3)),
% 0.23/0.33 inference(flattening,[],[f7])).
% 0.23/0.33 thf(f9,plain,(
% 0.23/0.33 (iimplies != (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.23/0.33 inference(flattening,[],[f6])).
% 0.23/0.33 thf(f10,plain,(
% 0.23/0.33 (((ifalse @ (d2unsorted @ d_unsorted_0))) != $true) & (((itrue @ (d2unsorted @ d_unsorted_0))) = $true) & (((irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) = $true) & (iinvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))) & (icountersatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (isatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))) & (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) & (ixor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (irel @ Y2 @ Y5)) | ((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y0 @ Y6))))) | (~ (irel @ Y5 @ Y4))) | (Y1 @ Y4)) & (((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y1 @ Y6))))) | (~ (irel @ Y5 @ Y3))) | (Y0 @ Y3))))))))))))))))) & (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) & ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))))))))))) & (iimplied = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))))))))) & (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2))))))))) & (iatom = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1))))) & (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2)))))))) & (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y0 @ Y2)) | (Y1 @ Y2)))))))) & (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2)))))))) & (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((X0 = X1) | (((d2unsorted @ X1)) != ((d2unsorted @ X0)))) & ! [X2 : d_unsorted] : (d_unsorted_0 = X2) & ! [X3 : $i] : ? [X4 : d_unsorted] : (((d2unsorted @ X4)) = X3)),
% 0.23/0.33 inference(ennf_transformation,[],[f8])).
% 0.23/0.33 thf(f11,plain,(
% 0.23/0.33 (((ifalse @ (d2unsorted @ d_unsorted_0))) != $true) & (((itrue @ (d2unsorted @ d_unsorted_0))) = $true) & (((irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))) = $true) & (iinvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))) & (icountersatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (isatisfiable = (^[Y0 : $i > $o]: (~ (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1))))))) & (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) & (ixor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (irel @ Y2 @ Y5)) | ((((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y0 @ Y6))))) | (~ (irel @ Y5 @ Y4))) | (Y1 @ Y4)) & (((~ (!! @ $i @ (^[Y6 : $i]: ((~ (irel @ Y5 @ Y6)) | (Y1 @ Y6))))) | (~ (irel @ Y5 @ Y3))) | (Y0 @ Y3))))))))))))))))) & (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) & ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))))))))))) & (iimplied = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))))))))) & (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3))))))))))) & (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2))))))))) & (iatom = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1))))) & (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2)))))))) & (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y0 @ Y2)) | (Y1 @ Y2)))))))) & (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) & (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2)))))))) & (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((X0 = X1) | (((d2unsorted @ X1)) != ((d2unsorted @ X0)))) & ! [X2 : d_unsorted] : (d_unsorted_0 = X2) & ! [X3 : $i] : (((d2unsorted @ (sK0 @ X3))) = X3)),
% 0.23/0.33 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X4,sK0 @ X3)],[f10])).
% 0.23/0.33 thf(f18,plain,(
% 0.23/0.33 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y0 @ Y2)) | (Y1 @ Y2))))))))),
% 0.23/0.33 inference(cnf_transformation,[],[f11])).
% 0.23/0.33 thf(f19,plain,(
% 0.23/0.33 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (irel @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.23/0.33 inference(cnf_transformation,[],[f11])).
% 0.23/0.33 thf(f24,plain,(
% 0.23/0.33 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))),
% 0.23/0.33 inference(cnf_transformation,[],[f11])).
% 0.23/0.33 thf(f35,plain,(
% 0.23/0.33 (iimplies != (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.23/0.33 inference(cnf_transformation,[],[f9])).
% 0.23/0.33 thf(f38,plain,(
% 0.23/0.33 ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3)))))))))) != (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((~ (Y2 @ Y4)) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (irel @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (irel @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ Y1))))))),
% 0.23/0.33 inference(definition_unfolding,[],[f35,f24,f18,f19,f19])).
% 0.23/0.33 thf(f39,plain,(
% 0.23/0.33 ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3)))))))))) != (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((~ (irel @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))),
% 0.23/0.33 inference(beta-eta_normalization,[],[f38])).
% 0.23/0.33 thf(f40,plain,(
% 0.23/0.33 $false),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f39])).
% 0.23/0.33 % SZS output end Proof for theBenchmark
% 0.23/0.33 % (979552)------------------------------
% 0.23/0.33 % (979552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (979552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (979552)CaDiCaL version: 2.1.3
% 0.23/0.33 % (979552)Termination reason: Refutation
% 0.23/0.33 % (979552)Time elapsed: 0.007 s
% 0.23/0.33 % (979552)Peak memory usage: 12 MB
% 0.23/0.33 % (979552)Instructions burned: 14 (million)
% 0.23/0.33 % (979546)Success in time 0.044 s
% 0.23/0.33 % Vampire exiting
%------------------------------------------------------------------------------