TSTP Solution File: NUM600+3 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM600+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 : Sun Sep 18 13:10:48 EDT 2022
% Result : Theorem 0.45s 0.55s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM600+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 12:12:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.45/0.55 % SZS status Theorem
% 0.45/0.55 % SZS output start Proof
% 0.45/0.55 tff(aElementOf0_type, type, (
% 0.45/0.55 aElementOf0: ( $i * $i ) > $o)).
% 0.45/0.55 tff(szDzozmdt0_type, type, (
% 0.45/0.55 szDzozmdt0: $i > $i)).
% 0.45/0.55 tff(xN_type, type, (
% 0.45/0.55 xN: $i)).
% 0.45/0.55 tff(tptp_fun_W1_43_type, type, (
% 0.45/0.55 tptp_fun_W1_43: $i)).
% 0.45/0.55 tff(sdtlbdtrb0_type, type, (
% 0.45/0.55 sdtlbdtrb0: ( $i * $i ) > $i)).
% 0.45/0.55 tff(szDzizrdt0_type, type, (
% 0.45/0.55 szDzizrdt0: $i > $i)).
% 0.45/0.55 tff(xd_type, type, (
% 0.45/0.55 xd: $i)).
% 0.45/0.55 tff(sdtlpdtrp0_type, type, (
% 0.45/0.55 sdtlpdtrp0: ( $i * $i ) > $i)).
% 0.45/0.55 tff(tptp_fun_W0_42_type, type, (
% 0.45/0.55 tptp_fun_W0_42: $i)).
% 0.45/0.55 tff(xe_type, type, (
% 0.45/0.55 xe: $i)).
% 0.45/0.55 tff(sdtlcdtrc0_type, type, (
% 0.45/0.55 sdtlcdtrc0: ( $i * $i ) > $i)).
% 0.45/0.55 tff(szNzAzT0_type, type, (
% 0.45/0.55 szNzAzT0: $i)).
% 0.45/0.55 tff(xO_type, type, (
% 0.45/0.55 xO: $i)).
% 0.45/0.55 tff(aSet0_type, type, (
% 0.45/0.55 aSet0: $i > $o)).
% 0.45/0.55 tff(xT_type, type, (
% 0.45/0.55 xT: $i)).
% 0.45/0.55 tff(1,plain,
% 0.45/0.55 (((aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42)))) <=> (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42))))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(2,plain,
% 0.45/0.55 (((aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42)) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))) <=> (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(3,plain,
% 0.45/0.55 ((((aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42)) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42)))) <=> ((aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42))))),
% 0.45/0.55 inference(monotonicity,[status(thm)],[2])).
% 0.45/0.55 tff(4,plain,
% 0.45/0.55 ((((aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42)) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42)))) <=> (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42))))),
% 0.45/0.55 inference(transitivity,[status(thm)],[3, 1])).
% 0.45/0.55 tff(5,plain,
% 0.45/0.55 ((~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))) <=> (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0))))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(6,plain,
% 0.45/0.55 ((~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))) <=> (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0))))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(7,plain,
% 0.45/0.55 ((~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))) <=> (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0))))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(8,plain,
% 0.45/0.55 ((~![W0: $i] : ((?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO)) => ?[W1: $i] : ((aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & (sdtlpdtrp0(xe, W1) = W0)))) <=> (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0))))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(9,axiom,(~![W0: $i] : ((?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO)) => ?[W1: $i] : ((aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & (sdtlpdtrp0(xe, W1) = W0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__')).
% 0.45/0.55 tff(10,plain,
% 0.45/0.55 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.45/0.55 tff(11,plain,
% 0.45/0.55 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.45/0.55 tff(12,plain,
% 0.45/0.55 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.45/0.55 tff(13,plain,
% 0.45/0.55 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, xO))) | ?[W1: $i] : (aElementOf0(W1, szNzAzT0) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[12, 7])).
% 0.45/0.55 tff(14,plain,
% 0.45/0.55 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.45/0.56 tff(15,plain,
% 0.45/0.56 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[14, 5])).
% 0.45/0.56 tff(16,plain,
% 0.45/0.56 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[15, 5])).
% 0.45/0.56 tff(17,plain,
% 0.45/0.56 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[16, 5])).
% 0.45/0.56 tff(18,plain,
% 0.45/0.56 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[17, 5])).
% 0.45/0.56 tff(19,plain,
% 0.45/0.56 (~![W0: $i] : ((~(?[W1: $i] : (aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1) = W0)) & aElementOf0(W0, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))))) | ?[W1: $i] : (aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[18, 5])).
% 0.45/0.56 tff(20,plain,
% 0.45/0.56 (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) & (sdtlpdtrp0(xe, W1!43) = W0!42) & aElementOf0(W0!42, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & ![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[19, 4])).
% 0.45/0.56 tff(21,plain,
% 0.45/0.56 (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd)))),
% 0.45/0.56 inference(and_elim,[status(thm)],[20])).
% 0.45/0.56 tff(22,plain,
% 0.45/0.56 (((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd)))) | (~aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))),
% 0.45/0.56 inference(tautology,[status(thm)],[])).
% 0.45/0.56 tff(23,plain,
% 0.45/0.56 ((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd)))),
% 0.45/0.56 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.45/0.56 tff(24,plain,
% 0.45/0.56 (^[W1: $i] : refl(((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42))) <=> ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42))))),
% 0.45/0.56 inference(bind,[status(th)],[])).
% 0.45/0.56 tff(25,plain,
% 0.45/0.56 (![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42))) <=> ![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))),
% 0.45/0.56 inference(quant_intro,[status(thm)],[24])).
% 0.45/0.56 tff(26,plain,
% 0.45/0.56 (^[W1: $i] : trans(monotonicity(rewrite((aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42)) <=> (~((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42))))), ((~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42))) <=> (~(~((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42))))))), rewrite((~(~((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42))))) <=> ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))), ((~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42))) <=> ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))))),
% 0.45/0.56 inference(bind,[status(th)],[])).
% 0.45/0.56 tff(27,plain,
% 0.45/0.56 (![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42))) <=> ![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))),
% 0.45/0.56 inference(quant_intro,[status(thm)],[26])).
% 0.45/0.56 tff(28,plain,
% 0.45/0.56 (![W1: $i] : (~(aElementOf0(W1, szDzozmdt0(xN)) & ((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (sdtlpdtrp0(xe, W1) = W0!42)))),
% 0.45/0.56 inference(and_elim,[status(thm)],[20])).
% 0.45/0.56 tff(29,plain,
% 0.45/0.56 (![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.45/0.56 tff(30,plain,
% 0.45/0.56 (![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.45/0.56 tff(31,plain,
% 0.45/0.56 (sdtlpdtrp0(xe, W1!43) = W0!42),
% 0.45/0.56 inference(and_elim,[status(thm)],[20])).
% 0.45/0.56 tff(32,plain,
% 0.45/0.56 (((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | ((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))))) <=> ((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | (~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))))),
% 0.45/0.56 inference(rewrite,[status(thm)],[])).
% 0.45/0.56 tff(33,plain,
% 0.45/0.56 (((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42))) <=> ((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))))),
% 0.45/0.56 inference(rewrite,[status(thm)],[])).
% 0.45/0.56 tff(34,plain,
% 0.45/0.56 (((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | ((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)))) <=> ((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | ((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd)))))))),
% 0.45/0.56 inference(monotonicity,[status(thm)],[33])).
% 0.45/0.56 tff(35,plain,
% 0.45/0.56 (((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | ((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)))) <=> ((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | (~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))))),
% 0.45/0.56 inference(transitivity,[status(thm)],[34, 32])).
% 0.45/0.56 tff(36,plain,
% 0.45/0.56 ((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | ((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)))),
% 0.45/0.56 inference(quant_inst,[status(thm)],[])).
% 0.45/0.56 tff(37,plain,
% 0.45/0.56 ((~![W1: $i] : ((~aElementOf0(W1, szDzozmdt0(xN))) | (~((sdtlpdtrp0(xd, W1) = szDzizrdt0(xd)) | aElementOf0(W1, sdtlbdtrb0(xd, szDzizrdt0(xd))))) | (~(sdtlpdtrp0(xe, W1) = W0!42)))) | (~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xe, W1!43) = W0!42)) | (~((sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)) | aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd)))))),
% 0.45/0.56 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.45/0.56 tff(38,plain,
% 0.45/0.56 (~aElementOf0(W1!43, szDzozmdt0(xN))),
% 0.45/0.56 inference(unit_resolution,[status(thm)],[37, 31, 30, 23])).
% 0.45/0.56 tff(39,plain,
% 0.45/0.56 (^[W0: $i] : refl((aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))))) <=> (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))))))),
% 0.45/0.56 inference(bind,[status(th)],[])).
% 0.45/0.56 tff(40,plain,
% 0.45/0.56 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))))) <=> ![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))))),
% 0.45/0.56 inference(quant_intro,[status(thm)],[39])).
% 0.45/0.56 tff(41,plain,
% 0.45/0.56 (^[W0: $i] : rewrite((aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xN)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))) <=> (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))))))),
% 0.45/0.56 inference(bind,[status(th)],[])).
% 0.45/0.56 tff(42,plain,
% 0.45/0.56 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xN)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))) <=> ![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))))),
% 0.45/0.56 inference(quant_intro,[status(thm)],[41])).
% 0.45/0.56 tff(43,plain,
% 0.45/0.56 (^[W0: $i] : rewrite((aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))) <=> (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xN)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))))),
% 0.45/0.58 inference(bind,[status(th)],[])).
% 0.45/0.58 tff(44,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))) <=> ![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xN)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(quant_intro,[status(thm)],[43])).
% 0.45/0.58 tff(45,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd)))) <=> ![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(rewrite,[status(thm)],[])).
% 0.45/0.58 tff(46,axiom,((aElementOf0(szDzizrdt0(xd), xT) & aSet0(sdtlbdtrb0(xd, szDzizrdt0(xd)))) & ![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__4854')).
% 0.45/0.58 tff(47,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(and_elim,[status(thm)],[46])).
% 0.45/0.58 tff(48,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xd)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(modus_ponens,[status(thm)],[47, 45])).
% 0.45/0.58 tff(49,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xN)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.45/0.58 tff(50,plain,(
% 0.45/0.58 ![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (aElementOf0(W0, szDzozmdt0(xN)) & (sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(skolemize,[status(sab)],[49])).
% 0.45/0.58 tff(51,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))))),
% 0.45/0.58 inference(modus_ponens,[status(thm)],[50, 42])).
% 0.45/0.58 tff(52,plain,
% 0.45/0.58 (![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))))),
% 0.45/0.58 inference(modus_ponens,[status(thm)],[51, 40])).
% 0.45/0.58 tff(53,plain,
% 0.45/0.58 ((~![W0: $i] : (aElementOf0(W0, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W0, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W0) = szDzizrdt0(xd))))))) | (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd))))))),
% 0.45/0.58 inference(quant_inst,[status(thm)],[])).
% 0.45/0.58 tff(54,plain,
% 0.45/0.58 (aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)))))),
% 0.45/0.58 inference(unit_resolution,[status(thm)],[53, 52])).
% 0.45/0.58 tff(55,plain,
% 0.45/0.58 ((~(aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd))))))) | (~aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd)))) | (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)))))),
% 0.45/0.58 inference(tautology,[status(thm)],[])).
% 0.45/0.58 tff(56,plain,
% 0.45/0.58 ((~(aElementOf0(W1!43, sdtlbdtrb0(xd, szDzizrdt0(xd))) <=> (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd))))))) | (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)))))),
% 0.45/0.58 inference(unit_resolution,[status(thm)],[55, 21])).
% 0.45/0.58 tff(57,plain,
% 0.45/0.58 (~((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd))))),
% 0.45/0.58 inference(unit_resolution,[status(thm)],[56, 54])).
% 0.45/0.58 tff(58,plain,
% 0.45/0.58 (((~aElementOf0(W1!43, szDzozmdt0(xN))) | (~(sdtlpdtrp0(xd, W1!43) = szDzizrdt0(xd)))) | aElementOf0(W1!43, szDzozmdt0(xN))),
% 0.45/0.58 inference(tautology,[status(thm)],[])).
% 0.45/0.58 tff(59,plain,
% 0.45/0.58 ($false),
% 0.45/0.58 inference(unit_resolution,[status(thm)],[58, 57, 38])).
% 0.45/0.58 % SZS output end Proof
%------------------------------------------------------------------------------