TSTP Solution File: SWW787_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW787_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 20:59:54 EDT 2022
% Result : Unsatisfiable 5.71s 3.98s
% Output : Proof 5.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW787_1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 21:44:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 5.71/3.98 % SZS status Unsatisfiable
% 5.71/3.98 % SZS output start Proof
% 5.71/3.98 tff(select2_type, type, (
% 5.71/3.98 select2: ( $int * $int * $int ) > $int)).
% 5.71/3.98 tff(ownerRef_type, type, (
% 5.71/3.98 ownerRef: $int)).
% 5.71/3.98 tff(tptp_fun_A__questionmark_o_1_65_type, type, (
% 5.71/3.98 tptp_fun_A__questionmark_o_1_65: $int)).
% 5.71/3.98 tff(tptp_fun__Heap__type, type, (
% 5.71/3.98 tptp_fun__Heap_: $int)).
% 5.71/3.98 tff(ownerFrame_type, type, (
% 5.71/3.98 ownerFrame: $int)).
% 5.71/3.98 tff(tptp_fun_A__questionmark_f_1_64_type, type, (
% 5.71/3.98 tptp_fun_A__questionmark_f_1_64: $int)).
% 5.71/3.98 tff(true_1_type, type, (
% 5.71/3.98 true_1: $int)).
% 5.71/3.98 tff(tptp_fun__IsHeap__type, type, (
% 5.71/3.98 tptp_fun__IsHeap_: $int > $int)).
% 5.71/3.98 tff(tptp_fun__PurityAxiomsCanBeAssumed__type, type, (
% 5.71/3.98 tptp_fun__PurityAxiomsCanBeAssumed_: $int)).
% 5.71/3.98 tff(nullObject_type, type, (
% 5.71/3.98 nullObject: $int)).
% 5.71/3.98 tff(tptp_fun__BeingConstructed__type, type, (
% 5.71/3.98 tptp_fun__BeingConstructed_: $int)).
% 5.71/3.98 tff(tptp_fun__BaseClass__type, type, (
% 5.71/3.98 tptp_fun__BaseClass_: $int > $int)).
% 5.71/3.98 tff(localinv_type, type, (
% 5.71/3.98 localinv: $int)).
% 5.71/3.98 tff(x_type, type, (
% 5.71/3.98 x: ( $int * $int ) > $int)).
% 5.71/3.98 tff(inv_type, type, (
% 5.71/3.98 inv: $int)).
% 5.71/3.98 tff(tptp_fun__PeerGroupPlaceholder__type, type, (
% 5.71/3.98 tptp_fun__PeerGroupPlaceholder_: $int)).
% 5.71/3.98 tff(allocated_type, type, (
% 5.71/3.98 allocated: $int)).
% 5.71/3.98 tff(tptp_fun__IncludeInMainFrameCondition__type, type, (
% 5.71/3.98 tptp_fun__IncludeInMainFrameCondition_: $int > $int)).
% 5.71/3.98 tff(1,plain,
% 5.71/3.98 (((~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) | $false) <=> (~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))))),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(2,plain,
% 5.71/3.98 (($false | $false | $false) <=> $false),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(3,plain,
% 5.71/3.98 ((~$true) <=> $false),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(4,plain,
% 5.71/3.98 ((0 = 0) <=> $true),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(5,plain,
% 5.71/3.98 ($sum(select2(|'Heap'|, A__questionmark_o_1!65, ownerRef), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(6,plain,
% 5.71/3.98 ($sum(0, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)) = select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(7,plain,
% 5.71/3.98 ($product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(8,plain,
% 5.71/3.98 ($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))) = $sum(0, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))),
% 5.71/3.98 inference(monotonicity,[status(thm)],[7])).
% 5.71/3.98 tff(9,plain,
% 5.71/3.98 ($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))) = select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)),
% 5.71/3.98 inference(transitivity,[status(thm)],[8, 6])).
% 5.71/3.98 tff(10,plain,
% 5.71/3.98 ($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = $sum(select2(|'Heap'|, A__questionmark_o_1!65, ownerRef), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))),
% 5.71/3.98 inference(monotonicity,[status(thm)],[9])).
% 5.71/3.98 tff(11,plain,
% 5.71/3.98 ($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0),
% 5.71/3.98 inference(transitivity,[status(thm)],[10, 5])).
% 5.71/3.98 tff(12,plain,
% 5.71/3.98 (($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0) <=> (0 = 0)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[11])).
% 5.71/3.98 tff(13,plain,
% 5.71/3.98 (($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0) <=> $true),
% 5.71/3.98 inference(transitivity,[status(thm)],[12, 4])).
% 5.71/3.98 tff(14,plain,
% 5.71/3.98 ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)) <=> (~$true)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[13])).
% 5.71/3.98 tff(15,plain,
% 5.71/3.98 ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)) <=> $false),
% 5.71/3.98 inference(transitivity,[status(thm)],[14, 3])).
% 5.71/3.98 tff(16,plain,
% 5.71/3.98 ($sum(select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(17,plain,
% 5.71/3.98 ($sum(0, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)) = select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(18,plain,
% 5.71/3.98 ($product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(19,plain,
% 5.71/3.98 ($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))) = $sum(0, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))),
% 5.71/3.98 inference(monotonicity,[status(thm)],[18])).
% 5.71/3.98 tff(20,plain,
% 5.71/3.98 ($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))) = select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)),
% 5.71/3.98 inference(transitivity,[status(thm)],[19, 17])).
% 5.71/3.98 tff(21,plain,
% 5.71/3.98 ($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = $sum(select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))),
% 5.71/3.98 inference(monotonicity,[status(thm)],[20])).
% 5.71/3.98 tff(22,plain,
% 5.71/3.98 ($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0),
% 5.71/3.98 inference(transitivity,[status(thm)],[21, 16])).
% 5.71/3.98 tff(23,plain,
% 5.71/3.98 (($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) <=> (0 = 0)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[22])).
% 5.71/3.98 tff(24,plain,
% 5.71/3.98 (($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) <=> $true),
% 5.71/3.98 inference(transitivity,[status(thm)],[23, 4])).
% 5.71/3.98 tff(25,plain,
% 5.71/3.98 ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) <=> (~$true)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[24])).
% 5.71/3.98 tff(26,plain,
% 5.71/3.98 ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) <=> $false),
% 5.71/3.98 inference(transitivity,[status(thm)],[25, 3])).
% 5.71/3.98 tff(27,plain,
% 5.71/3.98 ($sum(select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(28,plain,
% 5.71/3.98 ($sum(0, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)) = select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(29,plain,
% 5.71/3.98 ($product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)),
% 5.71/3.98 inference(rewrite,[status(thm)],[])).
% 5.71/3.98 tff(30,plain,
% 5.71/3.98 ($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))) = $sum(0, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))),
% 5.71/3.98 inference(monotonicity,[status(thm)],[29])).
% 5.71/3.98 tff(31,plain,
% 5.71/3.98 ($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))) = select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)),
% 5.71/3.98 inference(transitivity,[status(thm)],[30, 28])).
% 5.71/3.98 tff(32,plain,
% 5.71/3.98 ($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = $sum(select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))),
% 5.71/3.98 inference(monotonicity,[status(thm)],[31])).
% 5.71/3.98 tff(33,plain,
% 5.71/3.98 ($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0),
% 5.71/3.98 inference(transitivity,[status(thm)],[32, 27])).
% 5.71/3.98 tff(34,plain,
% 5.71/3.98 (($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) <=> (0 = 0)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[33])).
% 5.71/3.98 tff(35,plain,
% 5.71/3.98 (($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) <=> $true),
% 5.71/3.98 inference(transitivity,[status(thm)],[34, 4])).
% 5.71/3.98 tff(36,plain,
% 5.71/3.98 ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) <=> (~$true)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[35])).
% 5.71/3.98 tff(37,plain,
% 5.71/3.98 ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) <=> $false),
% 5.71/3.98 inference(transitivity,[status(thm)],[36, 3])).
% 5.71/3.98 tff(38,plain,
% 5.71/3.98 (((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))) <=> ($false | $false | $false)),
% 5.71/3.98 inference(monotonicity,[status(thm)],[37, 26, 15])).
% 5.71/3.98 tff(39,plain,
% 5.71/3.98 (((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))) <=> $false),
% 5.71/3.98 inference(transitivity,[status(thm)],[38, 2])).
% 5.71/3.98 tff(40,plain,
% 5.71/3.98 (((~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) | ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) <=> ((~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) | $false)),
% 5.71/3.99 inference(monotonicity,[status(thm)],[39])).
% 5.71/3.99 tff(41,plain,
% 5.71/3.99 (((~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) | ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) <=> (~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))))),
% 5.71/3.99 inference(transitivity,[status(thm)],[40, 1])).
% 5.71/3.99 tff(42,plain,
% 5.71/3.99 ((~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))) | ((~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum($sum(0, $product(-1, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef)))), $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))),
% 5.71/3.99 inference(quant_inst,[status(thm)],[])).
% 5.71/3.99 tff(43,plain,
% 5.71/3.99 (~![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[42, 41])).
% 5.71/3.99 tff(44,plain,
% 5.71/3.99 (^[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : trans(monotonicity(rewrite((($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)) <=> (~((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))))), ((~(($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))) <=> (~(~((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))))))), rewrite((~(~((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))))) <=> ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))), ((~(($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))) <=> ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))))),
% 5.71/3.99 inference(bind,[status(th)],[])).
% 5.71/3.99 tff(45,plain,
% 5.71/3.99 (![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (~(($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))) <=> ![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))),
% 5.71/3.99 inference(quant_intro,[status(thm)],[44])).
% 5.71/3.99 tff(46,plain,
% 5.71/3.99 ((~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerRef))) = 0))) <=> (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerRef))) = 0)))),
% 5.71/3.99 inference(rewrite,[status(thm)],[])).
% 5.71/3.99 tff(47,plain,
% 5.71/3.99 ((~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))) <=> (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerRef))) = 0)))),
% 5.71/3.99 inference(rewrite,[status(thm)],[])).
% 5.71/3.99 tff(48,plain,
% 5.71/3.99 ((~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))) <=> (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef))))),
% 5.71/3.99 inference(rewrite,[status(thm)],[])).
% 5.71/3.99 tff(49,plain,
% 5.71/3.99 ((~((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((|'PurityAxiomsCanBeAssumed'| = true_1) => ((|'BeingConstructed'| = nullObject) => (~((~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef))) & ((~((((~(tptp_fun__IncludeInMainFrameCondition_(A__questionmark_f_1) = true_1)) | (~(~(A__questionmark_o_1 = nullObject)))) | (~(select2(|'Heap'|, A__questionmark_o_1, allocated) = true_1))) | (~(((A__questionmark_v_1_72 = |'PeerGroupPlaceholder'|) | (~(x(select2(|'Heap'|, A__questionmark_v_2_73, inv), A__questionmark_v_1_72) = true_1))) | (select2(|'Heap'|, A__questionmark_v_2_73, localinv) = tptp_fun__BaseClass_(A__questionmark_v_1_72)))))) => (A__questionmark_v_4_70 = A__questionmark_v_4_70)))) | (~(![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_74: $int, A__questionmark_v_1_76: $int, A__questionmark_v_2_77: $int] : ((((A__questionmark_v_4_74 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_76 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) & (A__questionmark_v_2_77 = select2(|'Heap'|, A__questionmark_o_1, ownerRef))) & ((~((((~(tptp_fun__IncludeInMainFrameCondition_(A__questionmark_f_1) = true_1)) | (~(~(A__questionmark_o_1 = nullObject)))) | (~(select2(|'Heap'|, A__questionmark_o_1, allocated) = true_1))) | (~(((A__questionmark_v_1_76 = |'PeerGroupPlaceholder'|) | (~(x(select2(|'Heap'|, A__questionmark_v_2_77, inv), A__questionmark_v_1_76) = true_1))) | (select2(|'Heap'|, A__questionmark_v_2_77, localinv) = tptp_fun__BaseClass_(A__questionmark_v_1_76)))))) => (A__questionmark_v_4_74 = A__questionmark_v_4_74))) => $true)))))))) <=> (~((~(|'BeingConstructed'| = nullObject)) | (~(|'PurityAxiomsCanBeAssumed'| = true_1)) | (~(tptp_fun__IsHeap_(|'Heap'|) = true_1)) | ![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))))),
% 5.71/3.99 inference(rewrite,[status(thm)],[])).
% 5.71/3.99 tff(50,axiom,(~((tptp_fun__IsHeap_(|'Heap'|) = true_1) => ((|'PurityAxiomsCanBeAssumed'| = true_1) => ((|'BeingConstructed'| = nullObject) => (~((~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef))) & ((~((((~(tptp_fun__IncludeInMainFrameCondition_(A__questionmark_f_1) = true_1)) | (~(~(A__questionmark_o_1 = nullObject)))) | (~(select2(|'Heap'|, A__questionmark_o_1, allocated) = true_1))) | (~(((A__questionmark_v_1_72 = |'PeerGroupPlaceholder'|) | (~(x(select2(|'Heap'|, A__questionmark_v_2_73, inv), A__questionmark_v_1_72) = true_1))) | (select2(|'Heap'|, A__questionmark_v_2_73, localinv) = tptp_fun__BaseClass_(A__questionmark_v_1_72)))))) => (A__questionmark_v_4_70 = A__questionmark_v_4_70)))) | (~(![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_74: $int, A__questionmark_v_1_76: $int, A__questionmark_v_2_77: $int] : ((((A__questionmark_v_4_74 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_76 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) & (A__questionmark_v_2_77 = select2(|'Heap'|, A__questionmark_o_1, ownerRef))) & ((~((((~(tptp_fun__IncludeInMainFrameCondition_(A__questionmark_f_1) = true_1)) | (~(~(A__questionmark_o_1 = nullObject)))) | (~(select2(|'Heap'|, A__questionmark_o_1, allocated) = true_1))) | (~(((A__questionmark_v_1_76 = |'PeerGroupPlaceholder'|) | (~(x(select2(|'Heap'|, A__questionmark_v_2_77, inv), A__questionmark_v_1_76) = true_1))) | (select2(|'Heap'|, A__questionmark_v_2_77, localinv) = tptp_fun__BaseClass_(A__questionmark_v_1_76)))))) => (A__questionmark_v_4_74 = A__questionmark_v_4_74))) => $true)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','formula_3')).
% 5.71/3.99 tff(51,plain,
% 5.71/3.99 (~((~(|'BeingConstructed'| = nullObject)) | (~(|'PurityAxiomsCanBeAssumed'| = true_1)) | (~(tptp_fun__IsHeap_(|'Heap'|) = true_1)) | ![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef))))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[50, 49])).
% 5.71/3.99 tff(52,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))),
% 5.71/3.99 inference(or_elim,[status(thm)],[51])).
% 5.71/3.99 tff(53,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[52, 48])).
% 5.71/3.99 tff(54,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[53, 48])).
% 5.71/3.99 tff(55,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[54, 48])).
% 5.71/3.99 tff(56,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((A__questionmark_v_4_70 = select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1)) & (A__questionmark_v_1_72 = select2(|'Heap'|, A__questionmark_o_1, ownerFrame)) & (A__questionmark_v_2_73 = select2(|'Heap'|, A__questionmark_o_1, ownerRef)))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[55, 48])).
% 5.71/3.99 tff(57,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerRef))) = 0))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[56, 47])).
% 5.71/3.99 tff(58,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerRef))) = 0))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[57, 46])).
% 5.71/3.99 tff(59,plain,
% 5.71/3.99 (~![A__questionmark_o_1: $int, A__questionmark_f_1: $int] : ?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1, A__questionmark_f_1))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1, ownerRef))) = 0))),
% 5.71/3.99 inference(modus_ponens,[status(thm)],[58, 46])).
% 5.71/3.99 tff(60,plain,(
% 5.71/3.99 $oeq((~?[A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))), ![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : (~(($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0) & ($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0) & ($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0))))),
% 5.71/4.01 inference(transitivity,[status(sab)],[59])).
% 5.71/4.01 tff(61,plain,
% 5.71/4.01 (![A__questionmark_v_4_70: $int, A__questionmark_v_1_72: $int, A__questionmark_v_2_73: $int] : ((~($sum(A__questionmark_v_4_70, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, A__questionmark_f_1!64))) = 0)) | (~($sum(A__questionmark_v_1_72, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerFrame))) = 0)) | (~($sum(A__questionmark_v_2_73, $product(-1, select2(|'Heap'|, A__questionmark_o_1!65, ownerRef))) = 0)))),
% 5.71/4.01 inference(modus_ponens,[status(thm)],[60, 45])).
% 5.71/4.01 tff(62,plain,
% 5.71/4.01 ($false),
% 5.71/4.01 inference(unit_resolution,[status(thm)],[61, 43])).
% 5.71/4.01 % SZS output end Proof
%------------------------------------------------------------------------------