TSTP Solution File: SWW767_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW767_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 : Thu Sep 29 20:59:51 EDT 2022
% Result : Unsatisfiable 150.66s 119.01s
% Output : Proof 152.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW767_1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Sep 4 21:18:57 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 150.66/119.01 % SZS status Unsatisfiable
% 150.66/119.01 % SZS output start Proof
% 150.66/119.01 tff(result_0_type, type, (
% 150.66/119.01 result_0: $int)).
% 150.66/119.01 tff(select2_type, type, (
% 150.66/119.01 select2: ( $int * $int * $int ) > $int)).
% 150.66/119.01 tff(localinv_type, type, (
% 150.66/119.01 localinv: $int)).
% 150.66/119.01 tff(tptp_fun__Heap__type, type, (
% 150.66/119.01 tptp_fun__Heap_: $int)).
% 150.66/119.01 tff(inv_type, type, (
% 150.66/119.01 inv: $int)).
% 150.66/119.01 tff(ownerFrame_type, type, (
% 150.66/119.01 ownerFrame: $int)).
% 150.66/119.01 tff(this_type, type, (
% 150.66/119.01 this: $int)).
% 150.66/119.01 tff(ownerRef_type, type, (
% 150.66/119.01 ownerRef: $int)).
% 150.66/119.01 tff(true_1_type, type, (
% 150.66/119.01 true_1: $int)).
% 150.66/119.01 tff(allocated_type, type, (
% 150.66/119.01 allocated: $int)).
% 150.66/119.01 tff(nullObject_type, type, (
% 150.66/119.01 nullObject: $int)).
% 150.66/119.01 tff(typeof_type, type, (
% 150.66/119.01 typeof: $int > $int)).
% 150.66/119.01 tff(tptp_fun__AsPureObject__type, type, (
% 150.66/119.01 tptp_fun__AsPureObject_: $int > $int)).
% 150.66/119.01 tff(tptp_fun__BeingConstructed__type, type, (
% 150.66/119.01 tptp_fun__BeingConstructed_: $int)).
% 150.66/119.01 tff(tptp_fun__InRange__type, type, (
% 150.66/119.01 tptp_fun__InRange_: ( $int * $int ) > $int)).
% 150.66/119.01 tff(tptp_fun__System_Int32__type, type, (
% 150.66/119.01 tptp_fun__System_Int32_: $int)).
% 150.66/119.01 tff(result_type, type, (
% 150.66/119.01 result: $int)).
% 150.66/119.01 tff(tptp_fun__IsNotNull__type, type, (
% 150.66/119.01 tptp_fun__IsNotNull_: ( $int * $int ) > $int)).
% 150.66/119.01 tff(tptp_fun__Microsoft_Dafny_ObjectsTypeProxy__type, type, (
% 150.66/119.01 tptp_fun__Microsoft_Dafny_ObjectsTypeProxy_: $int)).
% 150.66/119.01 tff(tptp_fun__IsHeap__type, type, (
% 150.66/119.01 tptp_fun__IsHeap_: $int > $int)).
% 150.66/119.01 tff(1,plain,
% 150.66/119.01 ((~$true) <=> $false),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(2,plain,
% 150.66/119.01 (((tptp_fun__IsHeap_(|'Heap'|) = true_1) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(3,plain,
% 150.66/119.01 (((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(4,plain,
% 150.66/119.01 (((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(5,plain,
% 150.66/119.01 (((|'BeingConstructed'| = nullObject) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(6,plain,
% 150.66/119.01 (((tptp_fun__AsPureObject_(this) = this) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(7,plain,
% 150.66/119.01 ((![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1)) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))) | (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))) | (A__questionmark_pc = nullObject))) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(8,plain,
% 150.66/119.01 (($true => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(9,plain,
% 150.66/119.01 ((~$false) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(10,plain,
% 150.66/119.01 (($false | $false) <=> $false),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(11,plain,
% 150.66/119.01 ($lesseq(0, 0) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(12,plain,
% 150.66/119.01 ((~$lesseq(0, 0)) <=> (~$true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[11])).
% 150.66/119.01 tff(13,plain,
% 150.66/119.01 ((~$lesseq(0, 0)) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[12, 1])).
% 150.66/119.01 tff(14,plain,
% 150.66/119.01 (((~$lesseq(0, 0)) | (~$lesseq(0, 0))) <=> ($false | $false)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[13, 13])).
% 150.66/119.01 tff(15,plain,
% 150.66/119.01 (((~$lesseq(0, 0)) | (~$lesseq(0, 0))) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[14, 10])).
% 150.66/119.01 tff(16,plain,
% 150.66/119.01 ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) <=> (~$false)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[15])).
% 150.66/119.01 tff(17,plain,
% 150.66/119.01 ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[16, 9])).
% 150.66/119.01 tff(18,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true) <=> ($true => $true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[17])).
% 150.66/119.01 tff(19,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[18, 8])).
% 150.66/119.01 tff(20,plain,
% 150.66/119.01 ((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)) <=> (~$true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[19])).
% 150.66/119.01 tff(21,plain,
% 150.66/119.01 ((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[20, 1])).
% 150.66/119.01 tff(22,plain,
% 150.66/119.01 (((result_0 = 0) => $true) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(23,plain,
% 150.66/119.01 ($lesseq(0, 1) <=> $true),
% 150.66/119.01 inference(rewrite,[status(thm)],[])).
% 150.66/119.01 tff(24,plain,
% 150.66/119.01 ((~$lesseq(0, 1)) <=> (~$true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[23])).
% 150.66/119.01 tff(25,plain,
% 150.66/119.01 ((~$lesseq(0, 1)) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[24, 1])).
% 150.66/119.01 tff(26,plain,
% 150.66/119.01 (((~$lesseq(0, 0)) | (~$lesseq(0, 1))) <=> ($false | $false)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[13, 25])).
% 150.66/119.01 tff(27,plain,
% 150.66/119.01 (((~$lesseq(0, 0)) | (~$lesseq(0, 1))) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[26, 10])).
% 150.66/119.01 tff(28,plain,
% 150.66/119.01 ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) <=> (~$false)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[27])).
% 150.66/119.01 tff(29,plain,
% 150.66/119.01 ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[28, 9])).
% 150.66/119.01 tff(30,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)) <=> ($true => $true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[29, 22])).
% 150.66/119.01 tff(31,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[30, 8])).
% 150.66/119.01 tff(32,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true))) <=> ($true => $true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[29, 31])).
% 150.66/119.01 tff(33,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[32, 8])).
% 150.66/119.01 tff(34,plain,
% 150.66/119.01 ((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) <=> (~$true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[33])).
% 150.66/119.01 tff(35,plain,
% 150.66/119.01 ((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[34, 1])).
% 150.66/119.01 tff(36,plain,
% 150.66/119.01 (((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))) <=> ($false | $false)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[35, 21])).
% 150.66/119.01 tff(37,plain,
% 150.66/119.01 (((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))) <=> $false),
% 150.66/119.01 inference(transitivity,[status(thm)],[36, 10])).
% 150.66/119.01 tff(38,plain,
% 150.66/119.01 ((~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))) <=> (~$false)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[37])).
% 150.66/119.01 tff(39,plain,
% 150.66/119.01 ((~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[38, 9])).
% 150.66/119.01 tff(40,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))) <=> ($true => $true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[17, 39])).
% 150.66/119.01 tff(41,plain,
% 150.66/119.01 (((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[40, 8])).
% 150.66/119.01 tff(42,plain,
% 150.66/119.01 (^[A__questionmark_pc: $int] : quant_intro(proof_bind(^[A__questionmark_v_4_397: $int] : rewrite(((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) <=> ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1)) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))) | (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))) | (A__questionmark_pc = nullObject))))), (?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) <=> ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1)) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))) | (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))) | (A__questionmark_pc = nullObject)))))),
% 150.66/119.01 inference(bind,[status(th)],[])).
% 150.66/119.01 tff(43,plain,
% 150.66/119.01 (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) <=> ![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1)) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))) | (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))) | (A__questionmark_pc = nullObject)))),
% 150.66/119.01 inference(quant_intro,[status(thm)],[42])).
% 150.66/119.01 tff(44,plain,
% 150.66/119.01 ((![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))) <=> (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1)) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))) | (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))) | (A__questionmark_pc = nullObject))) => $true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[43, 41])).
% 150.66/119.01 tff(45,plain,
% 150.66/119.01 ((![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[44, 7])).
% 150.66/119.01 tff(46,plain,
% 150.66/119.01 (((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))))) <=> ((tptp_fun__AsPureObject_(this) = this) => $true)),
% 150.66/119.01 inference(monotonicity,[status(thm)],[45])).
% 150.66/119.01 tff(47,plain,
% 150.66/119.01 (((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))))) <=> $true),
% 150.66/119.01 inference(transitivity,[status(thm)],[46, 6])).
% 150.66/119.01 tff(48,plain,
% 150.66/119.01 (((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))) <=> ((|'BeingConstructed'| = nullObject) => $true)),
% 150.75/119.01 inference(monotonicity,[status(thm)],[47])).
% 150.75/119.01 tff(49,plain,
% 150.75/119.01 (((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))) <=> $true),
% 150.75/119.01 inference(transitivity,[status(thm)],[48, 5])).
% 150.75/119.01 tff(50,plain,
% 150.75/119.01 (((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))))))) <=> ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => $true)),
% 150.75/119.01 inference(monotonicity,[status(thm)],[49])).
% 150.75/119.01 tff(51,plain,
% 150.75/119.01 (((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))))))) <=> $true),
% 150.75/119.01 inference(transitivity,[status(thm)],[50, 4])).
% 150.75/119.01 tff(52,plain,
% 150.75/119.01 (((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))))) <=> ((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => $true)),
% 150.75/119.01 inference(monotonicity,[status(thm)],[51])).
% 150.75/119.01 tff(53,plain,
% 150.75/119.01 (((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))))) <=> $true),
% 150.75/119.01 inference(transitivity,[status(thm)],[52, 3])).
% 150.75/119.01 tff(54,plain,
% 150.75/119.01 (((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))))))))) <=> ((tptp_fun__IsHeap_(|'Heap'|) = true_1) => $true)),
% 150.75/119.01 inference(monotonicity,[status(thm)],[53])).
% 150.75/119.01 tff(55,plain,
% 150.75/119.01 (((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true))))))))))) <=> $true),
% 150.75/119.01 inference(transitivity,[status(thm)],[54, 2])).
% 150.75/119.01 tff(56,plain,
% 150.75/119.01 ((~((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))))))) <=> (~$true)),
% 150.75/119.01 inference(monotonicity,[status(thm)],[55])).
% 150.75/119.01 tff(57,plain,
% 150.75/119.01 ((~((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))))))) <=> $false),
% 150.75/119.01 inference(transitivity,[status(thm)],[56, 1])).
% 150.75/119.01 tff(58,axiom,(~((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((~((~(tptp_fun__IsNotNull_(this, |'Microsoft_Dafny_ObjectsTypeProxy'|) = true_1)) | (~(select2(|'Heap'|, this, allocated) = true_1)))) => ((tptp_fun__InRange_(result, |'System_Int32'|) = true_1) => ((|'BeingConstructed'| = nullObject) => ((tptp_fun__AsPureObject_(this) = this) => (![A__questionmark_pc: $int] : ?[A__questionmark_v_4_397: $int] : ((A__questionmark_v_4_397 = typeof(A__questionmark_pc)) & ((~((((~(~(A__questionmark_pc = nullObject))) | (~(select2(|'Heap'|, A__questionmark_pc, allocated) = true_1))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerRef) = select2(|'Heap'|, this, ownerRef)))) | (~(select2(|'Heap'|, A__questionmark_pc, ownerFrame) = select2(|'Heap'|, this, ownerFrame))))) => (~((~(select2(|'Heap'|, A__questionmark_pc, inv) = A__questionmark_v_4_397)) | (~(select2(|'Heap'|, A__questionmark_pc, localinv) = A__questionmark_v_4_397)))))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => (~((~((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((~((~$lesseq(0, 0)) | (~$lesseq(0, 1)))) => ((result_0 = 0) => $true)))) | (~((~((~$lesseq(0, 0)) | (~$lesseq(0, 0)))) => $true)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_3')).
% 152.10/120.39 tff(59,plain,
% 152.10/120.39 ($false),
% 152.10/120.39 inference(modus_ponens,[status(thm)],[58, 57])).
% 152.10/120.39 % SZS output end Proof
%------------------------------------------------------------------------------