TSTP Solution File: GEO286+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO286+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 : Fri Sep 16 20:36:15 EDT 2022
% Result : Theorem 0.98s 0.88s
% Output : Proof 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO286+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 07:29:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.98/0.88 % SZS status Theorem
% 0.98/0.88 % SZS output start Proof
% 0.98/0.88 tff(rpoint_type, type, (
% 0.98/0.88 rpoint: $i > $o)).
% 0.98/0.88 tff(tptp_fun_Vd261_3_type, type, (
% 0.98/0.88 tptp_fun_Vd261_3: ( $i * $i * $i * $i ) > $i)).
% 0.98/0.88 tff(vd1152_type, type, (
% 0.98/0.88 vd1152: $i)).
% 0.98/0.88 tff(vd1151_type, type, (
% 0.98/0.88 vd1151: $i)).
% 0.98/0.88 tff(vd1130_type, type, (
% 0.98/0.88 vd1130: $i)).
% 0.98/0.88 tff(vd1126_type, type, (
% 0.98/0.88 vd1126: $i)).
% 0.98/0.88 tff(ron_type, type, (
% 0.98/0.88 ron: ( $i * $i ) > $o)).
% 0.98/0.88 tff(rR_type, type, (
% 0.98/0.88 rR: ( $i * $i * $i ) > $o)).
% 0.98/0.88 tff(rinside_type, type, (
% 0.98/0.88 rinside: ( $i * $i ) > $o)).
% 0.98/0.88 tff(rcenter_type, type, (
% 0.98/0.88 rcenter: ( $i * $i ) > $o)).
% 0.98/0.88 tff(vd1123_type, type, (
% 0.98/0.88 vd1123: $i)).
% 0.98/0.88 tff(vd1127_type, type, (
% 0.98/0.88 vd1127: $i)).
% 0.98/0.88 tff(rcircle_type, type, (
% 0.98/0.88 rcircle: $i > $o)).
% 0.98/0.88 tff(vd1125_type, type, (
% 0.98/0.88 vd1125: $i)).
% 0.98/0.88 tff(rline_type, type, (
% 0.98/0.88 rline: $i > $o)).
% 0.98/0.88 tff(vd1128_type, type, (
% 0.98/0.88 vd1128: $i)).
% 0.98/0.88 tff(vd1129_type, type, (
% 0.98/0.88 vd1129: $i)).
% 0.98/0.88 tff(rless_type, type, (
% 0.98/0.88 rless: ( $i * $i ) > $o)).
% 0.98/0.88 tff(vf_type, type, (
% 0.98/0.88 vf: ( $i * $i ) > $i)).
% 0.98/0.88 tff(vd1124_type, type, (
% 0.98/0.88 vd1124: $i)).
% 0.98/0.88 tff(1,plain,
% 0.98/0.88 (^[Vd334: $i, Vd335: $i] : refl(((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)) <=> ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(2,plain,
% 0.98/0.88 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)) <=> ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[1])).
% 0.98/0.88 tff(3,plain,
% 0.98/0.88 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)) <=> ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(4,plain,
% 0.98/0.88 (^[Vd334: $i, Vd335: $i] : rewrite((rcenter(Vd334, Vd335) => rinside(Vd334, Vd335)) <=> ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(5,plain,
% 0.98/0.88 (![Vd334: $i, Vd335: $i] : (rcenter(Vd334, Vd335) => rinside(Vd334, Vd335)) <=> ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[4])).
% 0.98/0.88 tff(6,axiom,(![Vd334: $i, Vd335: $i] : (rcenter(Vd334, Vd335) => rinside(Vd334, Vd335))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'')).
% 0.98/0.88 tff(7,plain,
% 0.98/0.88 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.98/0.88 tff(8,plain,
% 0.98/0.88 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.98/0.88 tff(9,plain,(
% 0.98/0.88 ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(skolemize,[status(sab)],[8])).
% 0.98/0.88 tff(10,plain,
% 0.98/0.88 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.98/0.88 tff(11,plain,
% 0.98/0.88 (rcenter(vd1123, vd1152) <=> rcenter(vd1130, vd1152)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(12,plain,
% 0.98/0.88 (rcenter(vd1123, vd1152) <=> rcenter(vd1123, vd1152)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(13,axiom,((((ron(vd1127, vd1152) & rcenter(vd1123, vd1152)) & rcircle(vd1152)) & ron(vd1125, vd1151)) & ron(vd1123, vd1151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))'')).
% 0.98/0.88 tff(14,plain,
% 0.98/0.88 (((ron(vd1127, vd1152) & rcenter(vd1123, vd1152)) & rcircle(vd1152)) & ron(vd1125, vd1151)),
% 0.98/0.88 inference(and_elim,[status(thm)],[13])).
% 0.98/0.88 tff(15,plain,
% 0.98/0.88 ((ron(vd1127, vd1152) & rcenter(vd1123, vd1152)) & rcircle(vd1152)),
% 0.98/0.88 inference(and_elim,[status(thm)],[14])).
% 0.98/0.88 tff(16,plain,
% 0.98/0.88 (ron(vd1127, vd1152) & rcenter(vd1123, vd1152)),
% 0.98/0.88 inference(and_elim,[status(thm)],[15])).
% 0.98/0.88 tff(17,plain,
% 0.98/0.88 (rcenter(vd1123, vd1152)),
% 0.98/0.88 inference(and_elim,[status(thm)],[16])).
% 0.98/0.88 tff(18,plain,
% 0.98/0.88 (rcenter(vd1123, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.98/0.88 tff(19,plain,
% 0.98/0.88 (rcenter(vd1130, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.98/0.88 tff(20,plain,
% 0.98/0.88 (((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | ((~rcenter(vd1130, vd1152)) | rinside(vd1130, vd1152))) <=> ((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | (~rcenter(vd1130, vd1152)) | rinside(vd1130, vd1152))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(21,plain,
% 0.98/0.88 ((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | ((~rcenter(vd1130, vd1152)) | rinside(vd1130, vd1152))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(22,plain,
% 0.98/0.88 ((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | (~rcenter(vd1130, vd1152)) | rinside(vd1130, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.98/0.88 tff(23,plain,
% 0.98/0.88 (rinside(vd1130, vd1152)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[22, 19, 10])).
% 0.98/0.88 tff(24,plain,
% 0.98/0.88 (^[Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : refl(((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(25,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))))) <=> ![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[24])).
% 0.98/0.88 tff(26,plain,
% 0.98/0.88 (^[Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : trans(monotonicity(trans(monotonicity(rewrite((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254)) <=> (~((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))))), ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) <=> (~(~((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))))))), rewrite((~(~((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)))), ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))))), rewrite((rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))) <=> (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))))), (((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | (rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))) <=> (((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))))))), rewrite((((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))), (((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | (rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(27,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | (rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253)))) <=> ![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[26])).
% 0.98/0.88 tff(28,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261))) <=> ![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(29,plain,
% 0.98/0.88 (^[Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)))), ((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260))), ((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260)))), (((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260)) & rpoint(Vd260)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260)) & rpoint(Vd260)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260))), (((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260)))), ((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260)) & ron(Vd257, Vd255)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260)) & ron(Vd257, Vd255)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255))), ((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255)))), (((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253))), (((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253)))), ((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258))), ((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258)))), (((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258)) & rpoint(Vd258)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258)) & rpoint(Vd258)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258))), (((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258)))), ((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258)) & (Vd255 = Vd256)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258)) & (Vd255 = Vd256)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256))), ((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256)))), (((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256)) & rline(Vd256)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256)) & rline(Vd256)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256))), (((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256)))), ((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256)) & (Vd253 = Vd254)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256)) & (Vd253 = Vd254)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254))), ((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254)))), (((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) & rcircle(Vd254)) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254)) & rcircle(Vd254)))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254)) & rcircle(Vd254)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))), (((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) & rcircle(Vd254)) <=> (ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254)))), quant_intro(proof_bind(^[Vd261: $i] : trans(monotonicity(rewrite(((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) <=> (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255))), ((((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261)) <=> ((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255)) & rpoint(Vd261)))), rewrite(((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255)) & rpoint(Vd261)) <=> (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261))), ((((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261)) <=> (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261))))), (?[Vd261: $i] : (((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261)) <=> ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))), ((((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) & rcircle(Vd254)) => ?[Vd261: $i] : (((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261))) <=> ((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254)) => ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261))))), rewrite(((ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254)) => ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261))) <=> ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))), ((((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) & rcircle(Vd254)) => ?[Vd261: $i] : (((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261))) <=> ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(30,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : (((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) & rcircle(Vd254)) => ?[Vd261: $i] : (((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261))) <=> ![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[29])).
% 0.98/0.88 tff(31,axiom,(![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : (((((((((((((ron(Vd259, Vd255) & (~ron(Vd259, Vd253))) & (~rinside(Vd259, Vd253))) & (Vd259 = Vd260)) & rpoint(Vd260)) & ron(Vd257, Vd255)) & rinside(Vd257, Vd253)) & (Vd257 = Vd258)) & rpoint(Vd258)) & (Vd255 = Vd256)) & rline(Vd256)) & (Vd253 = Vd254)) & rcircle(Vd254)) => ?[Vd261: $i] : (((rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253)) & ron(Vd261, Vd255)) & rpoint(Vd261)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))'')).
% 0.98/0.88 tff(32,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.98/0.88 tff(33,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | ?[Vd261: $i] : (rR(Vd261, Vd257, Vd259) & ron(Vd261, Vd253) & ron(Vd261, Vd255) & rpoint(Vd261)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.98/0.88 tff(34,plain,(
% 0.98/0.88 ![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(ron(Vd259, Vd255) & (~ron(Vd259, Vd253)) & (~rinside(Vd259, Vd253)) & (Vd259 = Vd260) & rpoint(Vd260) & ron(Vd257, Vd255) & rinside(Vd257, Vd253) & (Vd257 = Vd258) & rpoint(Vd258) & (Vd255 = Vd256) & rline(Vd256) & (Vd253 = Vd254) & rcircle(Vd254))) | (rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))),
% 0.98/0.88 inference(skolemize,[status(sab)],[33])).
% 0.98/0.88 tff(35,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.98/0.88 tff(36,plain,
% 0.98/0.88 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.98/0.88 tff(37,plain,
% 0.98/0.88 (rline(vd1151) <=> rline(vd1151)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(38,axiom,(rline(vd1151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''pred(259, 0)'')).
% 0.98/0.88 tff(39,plain,
% 0.98/0.88 (rline(vd1151)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.98/0.88 tff(40,plain,
% 0.98/0.88 (rpoint(vd1126) <=> rpoint(vd1126)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(41,axiom,((((((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)) & (vd1125 = vd1126)) & rpoint(vd1126)) & (vd1123 = vd1124)) & rpoint(vd1124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))'')).
% 0.98/0.88 tff(42,plain,
% 0.98/0.88 (((((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)) & (vd1125 = vd1126)) & rpoint(vd1126)) & (vd1123 = vd1124)),
% 0.98/0.88 inference(and_elim,[status(thm)],[41])).
% 0.98/0.88 tff(43,plain,
% 0.98/0.88 ((((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)) & (vd1125 = vd1126)) & rpoint(vd1126)),
% 0.98/0.88 inference(and_elim,[status(thm)],[42])).
% 0.98/0.88 tff(44,plain,
% 0.98/0.88 (rpoint(vd1126)),
% 0.98/0.88 inference(and_elim,[status(thm)],[43])).
% 0.98/0.88 tff(45,plain,
% 0.98/0.88 (rpoint(vd1126)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.98/0.88 tff(46,plain,
% 0.98/0.88 (rpoint(vd1130) <=> rpoint(vd1130)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(47,plain,
% 0.98/0.88 (((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)) & (vd1125 = vd1126)),
% 0.98/0.88 inference(and_elim,[status(thm)],[43])).
% 0.98/0.88 tff(48,plain,
% 0.98/0.88 ((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)),
% 0.98/0.88 inference(and_elim,[status(thm)],[47])).
% 0.98/0.88 tff(49,plain,
% 0.98/0.88 (((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)),
% 0.98/0.88 inference(and_elim,[status(thm)],[48])).
% 0.98/0.88 tff(50,plain,
% 0.98/0.88 ((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)),
% 0.98/0.88 inference(and_elim,[status(thm)],[49])).
% 0.98/0.88 tff(51,plain,
% 0.98/0.88 (rpoint(vd1130)),
% 0.98/0.88 inference(and_elim,[status(thm)],[50])).
% 0.98/0.88 tff(52,plain,
% 0.98/0.88 (rpoint(vd1130)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[51, 46])).
% 0.98/0.88 tff(53,plain,
% 0.98/0.88 (ron(vd1123, vd1151) <=> ron(vd1130, vd1151)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(54,plain,
% 0.98/0.88 (ron(vd1123, vd1151) <=> ron(vd1123, vd1151)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(55,plain,
% 0.98/0.88 (ron(vd1123, vd1151)),
% 0.98/0.88 inference(and_elim,[status(thm)],[13])).
% 0.98/0.88 tff(56,plain,
% 0.98/0.88 (ron(vd1123, vd1151)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.98/0.88 tff(57,plain,
% 0.98/0.88 (ron(vd1130, vd1151)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[56, 53])).
% 0.98/0.88 tff(58,plain,
% 0.98/0.88 (ron(vd1125, vd1151) <=> ron(vd1126, vd1151)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(59,plain,
% 0.98/0.88 (ron(vd1125, vd1151) <=> ron(vd1125, vd1151)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(60,plain,
% 0.98/0.88 (ron(vd1125, vd1151)),
% 0.98/0.88 inference(and_elim,[status(thm)],[14])).
% 0.98/0.88 tff(61,plain,
% 0.98/0.88 (ron(vd1125, vd1151)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.98/0.88 tff(62,plain,
% 0.98/0.88 (ron(vd1126, vd1151)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[61, 58])).
% 0.98/0.88 tff(63,plain,
% 0.98/0.88 (rcircle(vd1152) <=> rcircle(vd1152)),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(64,plain,
% 0.98/0.88 (rcircle(vd1152)),
% 0.98/0.88 inference(and_elim,[status(thm)],[15])).
% 0.98/0.88 tff(65,plain,
% 0.98/0.88 (rcircle(vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.98/0.88 tff(66,plain,
% 0.98/0.88 ((~rinside(vd1125, vd1152)) <=> (~rinside(vd1126, vd1152))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(67,plain,
% 0.98/0.88 ((~rinside(vd1125, vd1152)) <=> (~rinside(vd1125, vd1152))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(68,axiom,(~rinside(vd1125, vd1152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''neg(neg(260))'')).
% 0.98/0.88 tff(69,plain,
% 0.98/0.88 (~rinside(vd1125, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.98/0.88 tff(70,plain,
% 0.98/0.88 (~rinside(vd1126, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[69, 66])).
% 0.98/0.88 tff(71,plain,
% 0.98/0.88 ((~ron(vd1125, vd1152)) <=> (~ron(vd1126, vd1152))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(72,plain,
% 0.98/0.88 ((~ron(vd1125, vd1152)) <=> (~ron(vd1125, vd1152))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(73,axiom,(~ron(vd1125, vd1152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''neg(neg(comma_conjunct2(260)))'')).
% 0.98/0.88 tff(74,plain,
% 0.98/0.88 (~ron(vd1125, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.98/0.88 tff(75,plain,
% 0.98/0.88 (~ron(vd1126, vd1152)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[74, 71])).
% 0.98/0.88 tff(76,plain,
% 0.98/0.88 (((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | (ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))) <=> ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(77,plain,
% 0.98/0.89 (($false | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | $false | $false | $false | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))) <=> (ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(78,plain,
% 0.98/0.89 ((~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))) <=> (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(79,plain,
% 0.98/0.89 ((~$true) <=> $false),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(80,plain,
% 0.98/0.89 ((vd1130 = vd1130) <=> $true),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(81,plain,
% 0.98/0.89 ((~(vd1130 = vd1130)) <=> (~$true)),
% 0.98/0.89 inference(monotonicity,[status(thm)],[80])).
% 0.98/0.89 tff(82,plain,
% 0.98/0.89 ((~(vd1130 = vd1130)) <=> $false),
% 0.98/0.89 inference(transitivity,[status(thm)],[81, 79])).
% 0.98/0.89 tff(83,plain,
% 0.98/0.89 ((vd1151 = vd1151) <=> $true),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(84,plain,
% 0.98/0.89 ((~(vd1151 = vd1151)) <=> (~$true)),
% 0.98/0.89 inference(monotonicity,[status(thm)],[83])).
% 0.98/0.89 tff(85,plain,
% 0.98/0.89 ((~(vd1151 = vd1151)) <=> $false),
% 0.98/0.89 inference(transitivity,[status(thm)],[84, 79])).
% 0.98/0.89 tff(86,plain,
% 0.98/0.89 ((vd1152 = vd1152) <=> $true),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(87,plain,
% 0.98/0.89 ((~(vd1152 = vd1152)) <=> (~$true)),
% 0.98/0.89 inference(monotonicity,[status(thm)],[86])).
% 0.98/0.89 tff(88,plain,
% 0.98/0.89 ((~(vd1152 = vd1152)) <=> $false),
% 0.98/0.89 inference(transitivity,[status(thm)],[87, 79])).
% 0.98/0.89 tff(89,plain,
% 0.98/0.89 ((vd1126 = vd1126) <=> $true),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(90,plain,
% 0.98/0.89 ((~(vd1126 = vd1126)) <=> (~$true)),
% 0.98/0.89 inference(monotonicity,[status(thm)],[89])).
% 0.98/0.89 tff(91,plain,
% 0.98/0.89 ((~(vd1126 = vd1126)) <=> $false),
% 0.98/0.89 inference(transitivity,[status(thm)],[90, 79])).
% 0.98/0.89 tff(92,plain,
% 0.98/0.89 (((~(vd1126 = vd1126)) | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | (~(vd1152 = vd1152)) | (~(vd1151 = vd1151)) | (~(vd1130 = vd1130)) | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))) <=> ($false | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | $false | $false | $false | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[91, 88, 85, 82, 78])).
% 0.98/0.89 tff(93,plain,
% 0.98/0.89 (((~(vd1126 = vd1126)) | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | (~(vd1152 = vd1152)) | (~(vd1151 = vd1151)) | (~(vd1130 = vd1130)) | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))) <=> (ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))),
% 0.98/0.89 inference(transitivity,[status(thm)],[92, 77])).
% 0.98/0.89 tff(94,plain,
% 0.98/0.89 (((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | ((~(vd1126 = vd1126)) | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | (~(vd1152 = vd1152)) | (~(vd1151 = vd1151)) | (~(vd1130 = vd1130)) | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))) <=> ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | (ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[93])).
% 0.98/0.89 tff(95,plain,
% 0.98/0.89 (((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | ((~(vd1126 = vd1126)) | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | (~(vd1152 = vd1152)) | (~(vd1151 = vd1151)) | (~(vd1130 = vd1130)) | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))) <=> ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))),
% 0.98/0.89 inference(transitivity,[status(thm)],[94, 76])).
% 0.98/0.89 tff(96,plain,
% 0.98/0.89 ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | ((~(vd1126 = vd1126)) | rinside(vd1126, vd1152) | ron(vd1126, vd1152) | (~(vd1152 = vd1152)) | (~(vd1151 = vd1151)) | (~(vd1130 = vd1130)) | (~ron(vd1130, vd1151)) | (~ron(vd1126, vd1151)) | (~rpoint(vd1126)) | (~rline(vd1151)) | (~rpoint(vd1130)) | (~rinside(vd1130, vd1152)) | (~rcircle(vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(97,plain,
% 0.98/0.89 ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd253 = Vd254)) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_3(Vd259, Vd257, Vd255, Vd253))))))) | ron(vd1126, vd1152) | rinside(vd1126, vd1152) | (~rpoint(vd1130)) | (~ron(vd1130, vd1151)) | (~rline(vd1151)) | (~rpoint(vd1126)) | (~rcircle(vd1152)) | (~ron(vd1126, vd1151)) | (~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.98/0.89 tff(98,plain,
% 0.98/0.89 ((~rinside(vd1130, vd1152)) | (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[97, 75, 70, 65, 62, 57, 52, 45, 39, 36])).
% 0.98/0.89 tff(99,plain,
% 0.98/0.89 (~((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[98, 23])).
% 0.98/0.89 tff(100,plain,
% 0.98/0.89 (((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))) | rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))),
% 0.98/0.89 inference(tautology,[status(thm)],[])).
% 0.98/0.89 tff(101,plain,
% 0.98/0.89 (rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.98/0.89 tff(102,plain,
% 0.98/0.89 (((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))) | ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)),
% 0.98/0.89 inference(tautology,[status(thm)],[])).
% 0.98/0.89 tff(103,plain,
% 0.98/0.89 (ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[102, 99])).
% 0.98/0.89 tff(104,plain,
% 0.98/0.89 (((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))) | ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)),
% 0.98/0.89 inference(tautology,[status(thm)],[])).
% 0.98/0.89 tff(105,plain,
% 0.98/0.89 (ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[104, 99])).
% 0.98/0.89 tff(106,plain,
% 0.98/0.89 (((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))) | rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)),
% 0.98/0.89 inference(tautology,[status(thm)],[])).
% 0.98/0.89 tff(107,plain,
% 0.98/0.89 (rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[106, 99])).
% 0.98/0.89 tff(108,plain,
% 0.98/0.89 (^[Vd1153: $i] : refl(((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151))) <=> ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(109,plain,
% 0.98/0.89 (![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151))) <=> ![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[108])).
% 0.98/0.89 tff(110,plain,
% 0.98/0.89 (^[Vd1153: $i] : trans(monotonicity(rewrite((rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)) <=> (~((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151))))), ((~(rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))) <=> (~(~((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151))))))), rewrite((~(~((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151))))) <=> ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))), ((~(rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))) <=> ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(111,plain,
% 0.98/0.89 (![Vd1153: $i] : (~(rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))) <=> ![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[110])).
% 0.98/0.89 tff(112,plain,
% 0.98/0.89 ((~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))) <=> (~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(113,plain,
% 0.98/0.89 ((~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))) <=> (~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(114,plain,
% 0.98/0.89 ((~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))) <=> (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(115,plain,
% 0.98/0.89 ((~?[Vd1153: $i] : (((rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152)) & ron(Vd1153, vd1151)) & rpoint(Vd1153))) <=> (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(116,axiom,(~?[Vd1153: $i] : (((rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152)) & ron(Vd1153, vd1151)) & rpoint(Vd1153))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''qe(261)'')).
% 0.98/0.89 tff(117,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.98/0.89 tff(118,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[117, 114])).
% 0.98/0.89 tff(119,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.98/0.89 tff(120,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[119, 114])).
% 0.98/0.89 tff(121,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[120, 114])).
% 0.98/0.89 tff(122,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1123, vd1125) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[121, 114])).
% 0.98/0.89 tff(123,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[122, 113])).
% 0.98/0.89 tff(124,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[123, 112])).
% 0.98/0.89 tff(125,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[124, 112])).
% 0.98/0.89 tff(126,plain,
% 0.98/0.89 (~?[Vd1153: $i] : (rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[125, 112])).
% 0.98/0.89 tff(127,plain,
% 0.98/0.89 (^[Vd1153: $i] : refl($oeq((~(rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153))), (~(rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(128,plain,(
% 0.98/0.89 ![Vd1153: $i] : (~(rR(Vd1153, vd1130, vd1126) & ron(Vd1153, vd1152) & ron(Vd1153, vd1151) & rpoint(Vd1153)))),
% 0.98/0.89 inference(nnf-neg,[status(sab)],[126, 127])).
% 0.98/0.89 tff(129,plain,
% 0.98/0.89 (![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[128, 111])).
% 0.98/0.89 tff(130,plain,
% 0.98/0.89 (![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[129, 109])).
% 0.98/0.89 tff(131,plain,
% 0.98/0.89 (((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | ((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))) <=> ((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(132,plain,
% 0.98/0.89 (((~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151))) <=> ((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(133,plain,
% 0.98/0.91 (((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | ((~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)))) <=> ((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | ((~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[132])).
% 0.98/0.91 tff(134,plain,
% 0.98/0.91 (((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | ((~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)))) <=> ((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))))),
% 0.98/0.91 inference(transitivity,[status(thm)],[133, 131])).
% 0.98/0.91 tff(135,plain,
% 0.98/0.91 ((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | ((~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(136,plain,
% 0.98/0.91 ((~![Vd1153: $i] : ((~rpoint(Vd1153)) | (~rR(Vd1153, vd1130, vd1126)) | (~ron(Vd1153, vd1152)) | (~ron(Vd1153, vd1151)))) | (~rR(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1130, vd1126)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1152)) | (~ron(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152), vd1151)) | (~rpoint(tptp_fun_Vd261_3(vd1126, vd1130, vd1151, vd1152)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.98/0.91 tff(137,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[136, 130, 107, 105, 103, 101])).
% 0.98/0.91 % SZS output end Proof
%------------------------------------------------------------------------------