TSTP Solution File: GEO283+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO283+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 20:36:14 EDT 2022
% Result : Theorem 0.93s 0.87s
% Output : Proof 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO283+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 07:42:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.93/0.87 % SZS status Theorem
% 0.93/0.87 % SZS output start Proof
% 0.93/0.87 tff(rpoint_type, type, (
% 0.93/0.87 rpoint: $i > $o)).
% 0.93/0.87 tff(tptp_fun_Vd261_2_type, type, (
% 0.93/0.87 tptp_fun_Vd261_2: ( $i * $i * $i * $i ) > $i)).
% 0.93/0.87 tff(vd1146_type, type, (
% 0.93/0.87 vd1146: $i)).
% 0.93/0.87 tff(vd1145_type, type, (
% 0.93/0.87 vd1145: $i)).
% 0.93/0.87 tff(vd1128_type, type, (
% 0.93/0.87 vd1128: $i)).
% 0.93/0.87 tff(vd1126_type, type, (
% 0.93/0.87 vd1126: $i)).
% 0.93/0.87 tff(ron_type, type, (
% 0.93/0.87 ron: ( $i * $i ) > $o)).
% 0.93/0.87 tff(rR_type, type, (
% 0.93/0.87 rR: ( $i * $i * $i ) > $o)).
% 0.93/0.87 tff(rinside_type, type, (
% 0.93/0.87 rinside: ( $i * $i ) > $o)).
% 0.93/0.87 tff(rcenter_type, type, (
% 0.93/0.87 rcenter: ( $i * $i ) > $o)).
% 0.93/0.87 tff(vd1123_type, type, (
% 0.93/0.87 vd1123: $i)).
% 0.93/0.87 tff(vd1129_type, type, (
% 0.93/0.87 vd1129: $i)).
% 0.93/0.87 tff(rcircle_type, type, (
% 0.93/0.87 rcircle: $i > $o)).
% 0.93/0.87 tff(vd1125_type, type, (
% 0.93/0.87 vd1125: $i)).
% 0.93/0.87 tff(rline_type, type, (
% 0.93/0.87 rline: $i > $o)).
% 0.93/0.87 tff(vd1127_type, type, (
% 0.93/0.87 vd1127: $i)).
% 0.93/0.87 tff(vd1130_type, type, (
% 0.93/0.87 vd1130: $i)).
% 0.93/0.87 tff(rless_type, type, (
% 0.93/0.87 rless: ( $i * $i ) > $o)).
% 0.93/0.87 tff(vf_type, type, (
% 0.93/0.87 vf: ( $i * $i ) > $i)).
% 0.93/0.87 tff(vd1124_type, type, (
% 0.93/0.87 vd1124: $i)).
% 0.93/0.87 tff(1,plain,
% 0.93/0.87 (^[Vd334: $i, Vd335: $i] : refl(((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)) <=> ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)))),
% 0.93/0.87 inference(bind,[status(th)],[])).
% 0.93/0.87 tff(2,plain,
% 0.93/0.87 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)) <=> ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(quant_intro,[status(thm)],[1])).
% 0.93/0.87 tff(3,plain,
% 0.93/0.87 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)) <=> ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(4,plain,
% 0.93/0.87 (^[Vd334: $i, Vd335: $i] : rewrite((rcenter(Vd334, Vd335) => rinside(Vd334, Vd335)) <=> ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335)))),
% 0.93/0.87 inference(bind,[status(th)],[])).
% 0.93/0.87 tff(5,plain,
% 0.93/0.87 (![Vd334: $i, Vd335: $i] : (rcenter(Vd334, Vd335) => rinside(Vd334, Vd335)) <=> ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(quant_intro,[status(thm)],[4])).
% 0.93/0.87 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)))'')).
% 0.93/0.87 tff(7,plain,
% 0.93/0.87 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.93/0.87 tff(8,plain,
% 0.93/0.87 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.93/0.87 tff(9,plain,(
% 0.93/0.87 ![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(skolemize,[status(sab)],[8])).
% 0.93/0.87 tff(10,plain,
% 0.93/0.87 (![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.93/0.87 tff(11,plain,
% 0.93/0.87 (rcenter(vd1123, vd1146) <=> rcenter(vd1128, vd1146)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(12,plain,
% 0.93/0.87 (rcenter(vd1123, vd1146) <=> rcenter(vd1123, vd1146)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(13,axiom,((((ron(vd1129, vd1146) & rcenter(vd1123, vd1146)) & rcircle(vd1146)) & ron(vd1125, vd1145)) & ron(vd1123, vd1145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))'')).
% 0.93/0.87 tff(14,plain,
% 0.93/0.87 (((ron(vd1129, vd1146) & rcenter(vd1123, vd1146)) & rcircle(vd1146)) & ron(vd1125, vd1145)),
% 0.93/0.87 inference(and_elim,[status(thm)],[13])).
% 0.93/0.87 tff(15,plain,
% 0.93/0.87 ((ron(vd1129, vd1146) & rcenter(vd1123, vd1146)) & rcircle(vd1146)),
% 0.93/0.87 inference(and_elim,[status(thm)],[14])).
% 0.93/0.87 tff(16,plain,
% 0.93/0.87 (ron(vd1129, vd1146) & rcenter(vd1123, vd1146)),
% 0.93/0.87 inference(and_elim,[status(thm)],[15])).
% 0.93/0.87 tff(17,plain,
% 0.93/0.87 (rcenter(vd1123, vd1146)),
% 0.93/0.87 inference(and_elim,[status(thm)],[16])).
% 0.93/0.87 tff(18,plain,
% 0.93/0.87 (rcenter(vd1123, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.93/0.87 tff(19,plain,
% 0.93/0.87 (rcenter(vd1128, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.93/0.87 tff(20,plain,
% 0.93/0.87 (((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | ((~rcenter(vd1128, vd1146)) | rinside(vd1128, vd1146))) <=> ((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | (~rcenter(vd1128, vd1146)) | rinside(vd1128, vd1146))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(21,plain,
% 0.93/0.87 ((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | ((~rcenter(vd1128, vd1146)) | rinside(vd1128, vd1146))),
% 0.93/0.87 inference(quant_inst,[status(thm)],[])).
% 0.93/0.87 tff(22,plain,
% 0.93/0.87 ((~![Vd334: $i, Vd335: $i] : ((~rcenter(Vd334, Vd335)) | rinside(Vd334, Vd335))) | (~rcenter(vd1128, vd1146)) | rinside(vd1128, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.93/0.87 tff(23,plain,
% 0.93/0.87 (rinside(vd1128, vd1146)),
% 0.93/0.87 inference(unit_resolution,[status(thm)],[22, 19, 10])).
% 0.93/0.87 tff(24,plain,
% 0.93/0.87 (^[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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253)))))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253)))))))),
% 0.93/0.87 inference(bind,[status(th)],[])).
% 0.93/0.87 tff(25,plain,
% 0.93/0.87 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))),
% 0.93/0.87 inference(quant_intro,[status(thm)],[24])).
% 0.93/0.87 tff(26,plain,
% 0.93/0.87 (^[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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))))), rewrite((rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))) <=> (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(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_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253)))) <=> (((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253)))))))), rewrite((((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254))) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253)))))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(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_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253)))) <=> ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))))),
% 0.93/0.87 inference(bind,[status(th)],[])).
% 0.93/0.87 tff(27,plain,
% 0.93/0.87 (![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_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_2(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) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))),
% 0.93/0.87 inference(quant_intro,[status(thm)],[26])).
% 0.93/0.87 tff(28,plain,
% 0.93/0.87 (![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)))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(29,plain,
% 0.93/0.87 (^[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)))))),
% 0.93/0.87 inference(bind,[status(th)],[])).
% 0.93/0.87 tff(30,plain,
% 0.93/0.87 (![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)))),
% 0.93/0.87 inference(quant_intro,[status(thm)],[29])).
% 0.93/0.87 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)))'')).
% 0.93/0.87 tff(32,plain,
% 0.93/0.87 (![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)))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.93/0.87 tff(33,plain,
% 0.93/0.87 (![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)))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.93/0.87 tff(34,plain,(
% 0.93/0.87 ![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_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253) & ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255) & rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))),
% 0.93/0.87 inference(skolemize,[status(sab)],[33])).
% 0.93/0.87 tff(35,plain,
% 0.93/0.87 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.93/0.87 tff(36,plain,
% 0.93/0.87 (![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.93/0.87 tff(37,plain,
% 0.93/0.87 (rline(vd1145) <=> rline(vd1145)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(38,axiom,(rline(vd1145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''pred(253, 0)'')).
% 0.93/0.87 tff(39,plain,
% 0.93/0.87 (rline(vd1145)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.93/0.87 tff(40,plain,
% 0.93/0.87 (rpoint(vd1126) <=> rpoint(vd1126)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 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)))'')).
% 0.93/0.87 tff(42,plain,
% 0.93/0.87 (((((((((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)),
% 0.93/0.87 inference(and_elim,[status(thm)],[41])).
% 0.93/0.87 tff(43,plain,
% 0.93/0.87 ((((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)) & (vd1125 = vd1126)) & rpoint(vd1126)),
% 0.93/0.87 inference(and_elim,[status(thm)],[42])).
% 0.93/0.87 tff(44,plain,
% 0.93/0.87 (rpoint(vd1126)),
% 0.93/0.87 inference(and_elim,[status(thm)],[43])).
% 0.93/0.87 tff(45,plain,
% 0.93/0.87 (rpoint(vd1126)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.93/0.87 tff(46,plain,
% 0.93/0.87 (rpoint(vd1128) <=> rpoint(vd1128)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(47,plain,
% 0.93/0.87 (((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)) & (vd1125 = vd1126)),
% 0.93/0.87 inference(and_elim,[status(thm)],[43])).
% 0.93/0.87 tff(48,plain,
% 0.93/0.87 ((((((rless(vf(vd1127, vd1129), vf(vd1123, vd1125)) & (~(vd1127 = vd1129))) & (~(vd1123 = vd1125))) & (vd1129 = vd1130)) & rpoint(vd1130)) & (vd1127 = vd1128)) & rpoint(vd1128)),
% 0.93/0.87 inference(and_elim,[status(thm)],[47])).
% 0.93/0.87 tff(49,plain,
% 0.93/0.87 (rpoint(vd1128)),
% 0.93/0.87 inference(and_elim,[status(thm)],[48])).
% 0.93/0.87 tff(50,plain,
% 0.93/0.87 (rpoint(vd1128)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[49, 46])).
% 0.93/0.87 tff(51,plain,
% 0.93/0.87 (ron(vd1123, vd1145) <=> ron(vd1128, vd1145)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(52,plain,
% 0.93/0.87 (ron(vd1123, vd1145) <=> ron(vd1123, vd1145)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(53,plain,
% 0.93/0.87 (ron(vd1123, vd1145)),
% 0.93/0.87 inference(and_elim,[status(thm)],[13])).
% 0.93/0.87 tff(54,plain,
% 0.93/0.87 (ron(vd1123, vd1145)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.93/0.87 tff(55,plain,
% 0.93/0.87 (ron(vd1128, vd1145)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[54, 51])).
% 0.93/0.87 tff(56,plain,
% 0.93/0.87 (ron(vd1125, vd1145) <=> ron(vd1126, vd1145)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(57,plain,
% 0.93/0.87 (ron(vd1125, vd1145) <=> ron(vd1125, vd1145)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(58,plain,
% 0.93/0.87 (ron(vd1125, vd1145)),
% 0.93/0.87 inference(and_elim,[status(thm)],[14])).
% 0.93/0.87 tff(59,plain,
% 0.93/0.87 (ron(vd1125, vd1145)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.93/0.87 tff(60,plain,
% 0.93/0.87 (ron(vd1126, vd1145)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[59, 56])).
% 0.93/0.87 tff(61,plain,
% 0.93/0.87 (rcircle(vd1146) <=> rcircle(vd1146)),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(62,plain,
% 0.93/0.87 (rcircle(vd1146)),
% 0.93/0.87 inference(and_elim,[status(thm)],[15])).
% 0.93/0.87 tff(63,plain,
% 0.93/0.87 (rcircle(vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.93/0.87 tff(64,plain,
% 0.93/0.87 ((~rinside(vd1125, vd1146)) <=> (~rinside(vd1126, vd1146))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(65,plain,
% 0.93/0.87 ((~rinside(vd1125, vd1146)) <=> (~rinside(vd1125, vd1146))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(66,axiom,(~rinside(vd1125, vd1146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''neg(neg(254))'')).
% 0.93/0.87 tff(67,plain,
% 0.93/0.87 (~rinside(vd1125, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.93/0.87 tff(68,plain,
% 0.93/0.87 (~rinside(vd1126, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[67, 64])).
% 0.93/0.87 tff(69,plain,
% 0.93/0.87 ((~ron(vd1125, vd1146)) <=> (~ron(vd1126, vd1146))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(70,plain,
% 0.93/0.87 ((~ron(vd1125, vd1146)) <=> (~ron(vd1125, vd1146))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(71,axiom,(~ron(vd1125, vd1146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''neg(neg(comma_conjunct2(254)))'')).
% 0.93/0.87 tff(72,plain,
% 0.93/0.87 (~ron(vd1125, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.93/0.87 tff(73,plain,
% 0.93/0.87 (~ron(vd1126, vd1146)),
% 0.93/0.87 inference(modus_ponens,[status(thm)],[72, 69])).
% 0.93/0.87 tff(74,plain,
% 0.93/0.87 (((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | (ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))) <=> ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(75,plain,
% 0.93/0.87 (($false | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | $false | $false | $false | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))) <=> (ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(76,plain,
% 0.93/0.87 ((~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))) <=> (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(77,plain,
% 0.93/0.87 ((~$true) <=> $false),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(78,plain,
% 0.93/0.87 ((vd1146 = vd1146) <=> $true),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(79,plain,
% 0.93/0.87 ((~(vd1146 = vd1146)) <=> (~$true)),
% 0.93/0.87 inference(monotonicity,[status(thm)],[78])).
% 0.93/0.87 tff(80,plain,
% 0.93/0.87 ((~(vd1146 = vd1146)) <=> $false),
% 0.93/0.87 inference(transitivity,[status(thm)],[79, 77])).
% 0.93/0.87 tff(81,plain,
% 0.93/0.87 ((vd1128 = vd1128) <=> $true),
% 0.93/0.87 inference(rewrite,[status(thm)],[])).
% 0.93/0.87 tff(82,plain,
% 0.93/0.87 ((~(vd1128 = vd1128)) <=> (~$true)),
% 0.93/0.87 inference(monotonicity,[status(thm)],[81])).
% 0.93/0.87 tff(83,plain,
% 0.93/0.87 ((~(vd1128 = vd1128)) <=> $false),
% 0.93/0.87 inference(transitivity,[status(thm)],[82, 77])).
% 0.93/0.87 tff(84,plain,
% 0.93/0.88 ((vd1145 = vd1145) <=> $true),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(85,plain,
% 0.93/0.88 ((~(vd1145 = vd1145)) <=> (~$true)),
% 0.93/0.88 inference(monotonicity,[status(thm)],[84])).
% 0.93/0.88 tff(86,plain,
% 0.93/0.88 ((~(vd1145 = vd1145)) <=> $false),
% 0.93/0.88 inference(transitivity,[status(thm)],[85, 77])).
% 0.93/0.88 tff(87,plain,
% 0.93/0.88 ((vd1126 = vd1126) <=> $true),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(88,plain,
% 0.93/0.88 ((~(vd1126 = vd1126)) <=> (~$true)),
% 0.93/0.88 inference(monotonicity,[status(thm)],[87])).
% 0.93/0.88 tff(89,plain,
% 0.93/0.88 ((~(vd1126 = vd1126)) <=> $false),
% 0.93/0.88 inference(transitivity,[status(thm)],[88, 77])).
% 0.93/0.88 tff(90,plain,
% 0.93/0.88 (((~(vd1126 = vd1126)) | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | (~(vd1145 = vd1145)) | (~(vd1128 = vd1128)) | (~(vd1146 = vd1146)) | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))) <=> ($false | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | $false | $false | $false | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))),
% 0.93/0.88 inference(monotonicity,[status(thm)],[89, 86, 83, 80, 76])).
% 0.93/0.88 tff(91,plain,
% 0.93/0.88 (((~(vd1126 = vd1126)) | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | (~(vd1145 = vd1145)) | (~(vd1128 = vd1128)) | (~(vd1146 = vd1146)) | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))) <=> (ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))),
% 0.93/0.88 inference(transitivity,[status(thm)],[90, 75])).
% 0.93/0.88 tff(92,plain,
% 0.93/0.88 (((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | ((~(vd1126 = vd1126)) | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | (~(vd1145 = vd1145)) | (~(vd1128 = vd1128)) | (~(vd1146 = vd1146)) | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))) <=> ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | (ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))))),
% 0.93/0.88 inference(monotonicity,[status(thm)],[91])).
% 0.93/0.88 tff(93,plain,
% 0.93/0.88 (((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | ((~(vd1126 = vd1126)) | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | (~(vd1145 = vd1145)) | (~(vd1128 = vd1128)) | (~(vd1146 = vd1146)) | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))) <=> ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))),
% 0.93/0.88 inference(transitivity,[status(thm)],[92, 74])).
% 0.93/0.88 tff(94,plain,
% 0.93/0.88 ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | ((~(vd1126 = vd1126)) | rinside(vd1126, vd1146) | ron(vd1126, vd1146) | (~(vd1145 = vd1145)) | (~(vd1128 = vd1128)) | (~(vd1146 = vd1146)) | (~ron(vd1128, vd1145)) | (~ron(vd1126, vd1145)) | (~rpoint(vd1126)) | (~rline(vd1145)) | (~rpoint(vd1128)) | (~rinside(vd1128, vd1146)) | (~rcircle(vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))))),
% 0.93/0.88 inference(quant_inst,[status(thm)],[])).
% 0.93/0.88 tff(95,plain,
% 0.93/0.88 ((~![Vd253: $i, Vd254: $i, Vd255: $i, Vd256: $i, Vd257: $i, Vd258: $i, Vd259: $i, Vd260: $i] : ((~(Vd259 = Vd260)) | rinside(Vd259, Vd253) | ron(Vd259, Vd253) | (~(Vd255 = Vd256)) | (~(Vd257 = Vd258)) | (~(Vd253 = Vd254)) | (~ron(Vd257, Vd255)) | (~ron(Vd259, Vd255)) | (~rpoint(Vd260)) | (~rline(Vd256)) | (~rpoint(Vd258)) | (~rinside(Vd257, Vd253)) | (~rcircle(Vd254)) | (~((~rR(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd257, Vd259)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd253)) | (~ron(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253), Vd255)) | (~rpoint(tptp_fun_Vd261_2(Vd259, Vd257, Vd255, Vd253))))))) | ron(vd1126, vd1146) | rinside(vd1126, vd1146) | (~rpoint(vd1128)) | (~ron(vd1128, vd1145)) | (~rline(vd1145)) | (~rpoint(vd1126)) | (~rcircle(vd1146)) | (~ron(vd1126, vd1145)) | (~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.93/0.88 tff(96,plain,
% 0.93/0.88 ((~rinside(vd1128, vd1146)) | (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))),
% 0.93/0.88 inference(unit_resolution,[status(thm)],[95, 73, 68, 63, 60, 55, 50, 45, 39, 36])).
% 0.93/0.88 tff(97,plain,
% 0.93/0.88 (~((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))),
% 0.93/0.88 inference(unit_resolution,[status(thm)],[96, 23])).
% 0.93/0.88 tff(98,plain,
% 0.93/0.88 (((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))) | rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))),
% 0.93/0.88 inference(tautology,[status(thm)],[])).
% 0.93/0.88 tff(99,plain,
% 0.93/0.88 (rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))),
% 0.93/0.88 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.93/0.88 tff(100,plain,
% 0.93/0.88 (((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))) | ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)),
% 0.93/0.88 inference(tautology,[status(thm)],[])).
% 0.93/0.88 tff(101,plain,
% 0.93/0.88 (ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)),
% 0.93/0.88 inference(unit_resolution,[status(thm)],[100, 97])).
% 0.93/0.88 tff(102,plain,
% 0.93/0.88 (((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))) | ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)),
% 0.93/0.88 inference(tautology,[status(thm)],[])).
% 0.93/0.88 tff(103,plain,
% 0.93/0.88 (ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)),
% 0.93/0.88 inference(unit_resolution,[status(thm)],[102, 97])).
% 0.93/0.88 tff(104,plain,
% 0.93/0.88 (((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))) | rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)),
% 0.93/0.88 inference(tautology,[status(thm)],[])).
% 0.93/0.88 tff(105,plain,
% 0.93/0.88 (rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)),
% 0.93/0.88 inference(unit_resolution,[status(thm)],[104, 97])).
% 0.93/0.88 tff(106,plain,
% 0.93/0.88 (^[Vd1147: $i] : refl(((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145))) <=> ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145))))),
% 0.93/0.88 inference(bind,[status(th)],[])).
% 0.93/0.88 tff(107,plain,
% 0.93/0.88 (![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145))) <=> ![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))),
% 0.93/0.88 inference(quant_intro,[status(thm)],[106])).
% 0.93/0.88 tff(108,plain,
% 0.93/0.88 (^[Vd1147: $i] : trans(monotonicity(rewrite((rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)) <=> (~((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145))))), ((~(rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))) <=> (~(~((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145))))))), rewrite((~(~((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145))))) <=> ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))), ((~(rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))) <=> ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))))),
% 0.93/0.88 inference(bind,[status(th)],[])).
% 0.93/0.88 tff(109,plain,
% 0.93/0.88 (![Vd1147: $i] : (~(rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))) <=> ![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))),
% 0.93/0.88 inference(quant_intro,[status(thm)],[108])).
% 0.93/0.88 tff(110,plain,
% 0.93/0.88 ((~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))) <=> (~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)))),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(111,plain,
% 0.93/0.88 ((~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))) <=> (~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)))),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(112,plain,
% 0.93/0.88 ((~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))) <=> (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)))),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(113,plain,
% 0.93/0.88 ((~?[Vd1147: $i] : (((rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146)) & ron(Vd1147, vd1145)) & rpoint(Vd1147))) <=> (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)))),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(114,axiom,(~?[Vd1147: $i] : (((rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146)) & ron(Vd1147, vd1145)) & rpoint(Vd1147))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''qe(255)'')).
% 0.93/0.88 tff(115,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.93/0.88 tff(116,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[115, 112])).
% 0.93/0.88 tff(117,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[116, 112])).
% 0.93/0.88 tff(118,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[117, 112])).
% 0.93/0.88 tff(119,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[118, 112])).
% 0.93/0.88 tff(120,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1123, vd1125) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[119, 112])).
% 0.93/0.88 tff(121,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[120, 111])).
% 0.93/0.88 tff(122,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[121, 110])).
% 0.93/0.88 tff(123,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[122, 110])).
% 0.93/0.88 tff(124,plain,
% 0.93/0.88 (~?[Vd1147: $i] : (rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[123, 110])).
% 0.93/0.88 tff(125,plain,
% 0.93/0.88 (^[Vd1147: $i] : refl($oeq((~(rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147))), (~(rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)))))),
% 0.93/0.88 inference(bind,[status(th)],[])).
% 0.93/0.88 tff(126,plain,(
% 0.93/0.88 ![Vd1147: $i] : (~(rR(Vd1147, vd1128, vd1126) & ron(Vd1147, vd1146) & ron(Vd1147, vd1145) & rpoint(Vd1147)))),
% 0.93/0.88 inference(nnf-neg,[status(sab)],[124, 125])).
% 0.93/0.88 tff(127,plain,
% 0.93/0.88 (![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[126, 109])).
% 0.93/0.88 tff(128,plain,
% 0.93/0.88 (![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))),
% 0.93/0.88 inference(modus_ponens,[status(thm)],[127, 107])).
% 0.93/0.88 tff(129,plain,
% 0.93/0.88 (((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | ((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))) <=> ((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(130,plain,
% 0.93/0.88 (((~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145))) <=> ((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))),
% 0.93/0.88 inference(rewrite,[status(thm)],[])).
% 0.93/0.88 tff(131,plain,
% 0.93/0.88 (((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | ((~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)))) <=> ((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | ((~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))))),
% 0.93/0.89 inference(monotonicity,[status(thm)],[130])).
% 0.93/0.89 tff(132,plain,
% 0.93/0.89 (((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | ((~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)))) <=> ((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))))),
% 0.93/0.89 inference(transitivity,[status(thm)],[131, 129])).
% 0.93/0.89 tff(133,plain,
% 0.93/0.89 ((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | ((~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)))),
% 0.93/0.89 inference(quant_inst,[status(thm)],[])).
% 0.93/0.89 tff(134,plain,
% 0.93/0.89 ((~![Vd1147: $i] : ((~rpoint(Vd1147)) | (~rR(Vd1147, vd1128, vd1126)) | (~ron(Vd1147, vd1146)) | (~ron(Vd1147, vd1145)))) | (~rR(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1128, vd1126)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1146)) | (~ron(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146), vd1145)) | (~rpoint(tptp_fun_Vd261_2(vd1126, vd1128, vd1145, vd1146)))),
% 0.93/0.89 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.93/0.89 tff(135,plain,
% 0.93/0.89 ($false),
% 0.93/0.89 inference(unit_resolution,[status(thm)],[134, 128, 105, 103, 101, 99])).
% 0.93/0.89 % SZS output end Proof
%------------------------------------------------------------------------------