%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO344+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 : Sat Jun 21 05:06:16 AM UTC 2025
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO344+1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 14:49:41 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.20/0.54 % SZS status Theorem
% 0.20/0.54 % SZS output start Proof
% 0.20/0.54 tff(rline_type, type, (
% 0.20/0.54 rline: $i > $o)).
% 0.20/0.54 tff(ron_type, type, (
% 0.20/0.54 ron: ( $i * $i ) > $o)).
% 0.20/0.54 tff(rpoint_type, type, (
% 0.20/0.54 rpoint: $i > $o)).
% 0.20/0.54 tff(vd1401_type, type, (
% 0.20/0.54 vd1401: $i)).
% 0.20/0.54 tff(vd1400_type, type, (
% 0.20/0.54 vd1400: $i)).
% 0.20/0.54 tff(vd1399_type, type, (
% 0.20/0.54 vd1399: $i)).
% 0.20/0.54 tff(vd1407_type, type, (
% 0.20/0.54 vd1407: $i)).
% 0.20/0.54 tff(vd1406_type, type, (
% 0.20/0.54 vd1406: $i)).
% 0.20/0.54 tff(vd1409_type, type, (
% 0.20/0.54 vd1409: $i)).
% 0.20/0.54 tff(vd1419_type, type, (
% 0.20/0.54 vd1419: $i)).
% 0.20/0.54 tff(tptp_fun_Vdthex_0_type, type, (
% 0.20/0.54 tptp_fun_Vdthex_0: $i)).
% 0.20/0.54 tff(1,plain,
% 0.20/0.54 (^[Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : refl(((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))) <=> ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(2,plain,
% 0.20/0.54 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))) <=> ![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.54 tff(3,plain,
% 0.20/0.54 (^[Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : trans(monotonicity(trans(monotonicity(rewrite((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314)) <=> (~((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))))), ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) <=> (~(~((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))))))), rewrite((~(~((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))))) <=> ((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))), ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) <=> ((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))))), (((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320)) <=> (((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))) | (Vd319 = Vd320)))), rewrite((((Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319))) | (Vd319 = Vd320)) <=> ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))), (((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320)) <=> ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(4,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320)) <=> ![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.55 tff(5,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320)) <=> ![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(6,plain,
% 0.20/0.55 (^[Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320))), ((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319))), ((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319)))), trans(der(?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324)) <=> ?[Vd324: $i] : rline(Vd320)), elim_unused(?[Vd324: $i] : rline(Vd320) <=> rline(Vd320)), (?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324)) <=> rline(Vd320))), (((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319)) & rline(Vd320)))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319)) & rline(Vd320)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320))), (((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320)))), trans(der(?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323)) <=> ?[Vd323: $i] : rline(Vd319)), elim_unused(?[Vd323: $i] : rline(Vd319) <=> rline(Vd319)), (?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323)) <=> rline(Vd319))), ((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320)) & rline(Vd319)))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320)) & rline(Vd319)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319))), ((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319)))), (((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319)) & (~(Vd314 = Vd315))))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319)) & (~(Vd314 = Vd315))) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)))), (((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315))))), trans(der(?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318)) <=> ?[Vd318: $i] : rpoint(Vd315)), elim_unused(?[Vd318: $i] : rpoint(Vd315) <=> rpoint(Vd315)), (?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318)) <=> rpoint(Vd315))), ((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315))) & rpoint(Vd315)))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315))) & rpoint(Vd315)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315))), ((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315)))), trans(der(?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317)) <=> ?[Vd317: $i] : rpoint(Vd314)), elim_unused(?[Vd317: $i] : rpoint(Vd314) <=> rpoint(Vd314)), (?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317)) <=> rpoint(Vd314))), (((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) & ?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317))) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315)) & rpoint(Vd314)))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315)) & rpoint(Vd314)) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))), (((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) & ?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317))) <=> (ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314)))), ((((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) & ?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317))) => (Vd319 = Vd320)) <=> ((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314)) => (Vd319 = Vd320)))), rewrite(((ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314)) => (Vd319 = Vd320)) <=> ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))), ((((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) & ?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317))) => (Vd319 = Vd320)) <=> ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(7,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : (((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) & ?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317))) => (Vd319 = Vd320)) <=> ![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.55 tff(8,axiom,(![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : (((((((((ron(Vd315, Vd320) & ron(Vd315, Vd319)) & ron(Vd314, Vd320)) & ron(Vd314, Vd319)) & ?[Vd324: $i] : ((Vd320 = Vd324) & rline(Vd324))) & ?[Vd323: $i] : ((Vd319 = Vd323) & rline(Vd323))) & (~(Vd314 = Vd315))) & ?[Vd318: $i] : ((Vd315 = Vd318) & rpoint(Vd318))) & ?[Vd317: $i] : ((Vd314 = Vd317) & rpoint(Vd317))) => (Vd319 = Vd320))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'')).
% 0.20/0.55 tff(9,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.55 tff(10,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.20/0.55 tff(11,plain,(
% 0.20/0.55 ![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((~(ron(Vd315, Vd320) & ron(Vd315, Vd319) & ron(Vd314, Vd320) & ron(Vd314, Vd319) & rline(Vd320) & rline(Vd319) & (~(Vd314 = Vd315)) & rpoint(Vd315) & rpoint(Vd314))) | (Vd319 = Vd320))),
% 0.20/0.55 inference(skolemize,[status(sab)],[10])).
% 0.20/0.55 tff(12,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.20/0.55 tff(13,plain,
% 0.20/0.55 (![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.20/0.55 tff(14,plain,
% 0.20/0.55 (rpoint(vd1401) <=> rpoint(vd1401)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(15,plain,
% 0.20/0.55 (?[Vd1405: $i] : rpoint(vd1401) <=> rpoint(vd1401)),
% 0.20/0.55 inference(elim_unused_vars,[status(thm)],[])).
% 0.20/0.55 tff(16,plain,
% 0.20/0.55 (?[Vd1405: $i] : ((vd1401 = Vd1405) & rpoint(Vd1405)) <=> ?[Vd1405: $i] : rpoint(vd1401)),
% 0.20/0.55 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.20/0.55 tff(17,plain,
% 0.20/0.55 (?[Vd1405: $i] : ((vd1401 = Vd1405) & rpoint(Vd1405)) <=> rpoint(vd1401)),
% 0.20/0.55 inference(transitivity,[status(thm)],[16, 15])).
% 0.20/0.55 tff(18,axiom,((((((((((vd1406 = vd1407) & ron(vd1400, vd1406)) & ron(vd1399, vd1406)) & rline(vd1407)) & (~(vd1400 = vd1401))) & (~(vd1399 = vd1401))) & (~(vd1399 = vd1400))) & ?[Vd1405: $i] : ((vd1401 = Vd1405) & rpoint(Vd1405))) & ?[Vd1404: $i] : ((vd1400 = Vd1404) & rpoint(Vd1404))) & ?[Vd1403: $i] : ((vd1399 = Vd1403) & rpoint(Vd1403))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'')).
% 0.20/0.55 tff(19,plain,
% 0.20/0.55 (((((((((vd1406 = vd1407) & ron(vd1400, vd1406)) & ron(vd1399, vd1406)) & rline(vd1407)) & (~(vd1400 = vd1401))) & (~(vd1399 = vd1401))) & (~(vd1399 = vd1400))) & ?[Vd1405: $i] : ((vd1401 = Vd1405) & rpoint(Vd1405))) & ?[Vd1404: $i] : ((vd1400 = Vd1404) & rpoint(Vd1404))),
% 0.20/0.55 inference(and_elim,[status(thm)],[18])).
% 0.20/0.55 tff(20,plain,
% 0.20/0.55 ((((((((vd1406 = vd1407) & ron(vd1400, vd1406)) & ron(vd1399, vd1406)) & rline(vd1407)) & (~(vd1400 = vd1401))) & (~(vd1399 = vd1401))) & (~(vd1399 = vd1400))) & ?[Vd1405: $i] : ((vd1401 = Vd1405) & rpoint(Vd1405))),
% 0.20/0.55 inference(and_elim,[status(thm)],[19])).
% 0.20/0.55 tff(21,plain,
% 0.20/0.55 (?[Vd1405: $i] : ((vd1401 = Vd1405) & rpoint(Vd1405))),
% 0.20/0.55 inference(and_elim,[status(thm)],[20])).
% 0.20/0.55 tff(22,plain,
% 0.20/0.55 (rpoint(vd1401)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.20/0.55 tff(23,plain,
% 0.20/0.55 (rpoint(vd1401)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[22, 14])).
% 0.20/0.55 tff(24,plain,
% 0.20/0.55 (rpoint(vd1409) <=> rpoint(vd1409)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(25,axiom,(rpoint(vd1409)), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''pred(406, 0)'')).
% 0.20/0.55 tff(26,plain,
% 0.20/0.55 (rpoint(vd1409)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.20/0.55 tff(27,plain,
% 0.20/0.55 ((~(vd1409 = vd1401)) <=> (~(vd1409 = vd1401))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(28,axiom,(~(vd1409 = vd1401)), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)'')).
% 0.20/0.55 tff(29,plain,
% 0.20/0.55 (~(vd1409 = vd1401)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.20/0.55 tff(30,plain,
% 0.20/0.55 (rline(vd1419) <=> rline(vd1419)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(31,axiom,((ron(vd1409, vd1419) & ron(vd1401, vd1419)) & rline(vd1419)), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))'')).
% 0.20/0.55 tff(32,plain,
% 0.20/0.55 (rline(vd1419)),
% 0.20/0.55 inference(and_elim,[status(thm)],[31])).
% 0.20/0.55 tff(33,plain,
% 0.20/0.55 (rline(vd1419)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[32, 30])).
% 0.20/0.55 tff(34,plain,
% 0.20/0.55 (ron(vd1401, vd1419) <=> ron(vd1401, vd1419)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(35,plain,
% 0.20/0.55 (ron(vd1409, vd1419) & ron(vd1401, vd1419)),
% 0.20/0.55 inference(and_elim,[status(thm)],[31])).
% 0.20/0.55 tff(36,plain,
% 0.20/0.55 (ron(vd1401, vd1419)),
% 0.20/0.55 inference(and_elim,[status(thm)],[35])).
% 0.20/0.55 tff(37,plain,
% 0.20/0.55 (ron(vd1401, vd1419)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[36, 34])).
% 0.20/0.55 tff(38,plain,
% 0.20/0.55 (ron(vd1409, vd1419) <=> ron(vd1409, vd1419)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(39,plain,
% 0.20/0.55 (ron(vd1409, vd1419)),
% 0.20/0.55 inference(and_elim,[status(thm)],[35])).
% 0.20/0.55 tff(40,plain,
% 0.20/0.55 (ron(vd1409, vd1419)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.20/0.55 tff(41,plain,
% 0.20/0.55 ((~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419))) <=> (~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(42,plain,
% 0.20/0.55 ((~![Vdthex: $i] : (((ron(vd1409, Vdthex) & ron(vd1401, Vdthex)) & rline(Vdthex)) => (Vdthex = vd1419))) <=> (~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(43,axiom,(~![Vdthex: $i] : (((ron(vd1409, Vdthex) & ron(vd1401, Vdthex)) & rline(Vdthex)) => (Vdthex = vd1419))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''qu(theu(the(409), 1), imp(the(409)))'')).
% 0.20/0.55 tff(44,plain,
% 0.20/0.55 (~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.55 tff(45,plain,
% 0.20/0.55 (~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[44, 41])).
% 0.20/0.55 tff(46,plain,
% 0.20/0.55 (~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.20/0.55 tff(47,plain,
% 0.20/0.55 (~![Vdthex: $i] : ((~(ron(vd1409, Vdthex) & ron(vd1401, Vdthex) & rline(Vdthex))) | (Vdthex = vd1419))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[46, 41])).
% 0.20/0.55 tff(48,plain,(
% 0.20/0.55 ~((~(ron(vd1409, Vdthex!0) & ron(vd1401, Vdthex!0) & rline(Vdthex!0))) | (Vdthex!0 = vd1419))),
% 0.20/0.55 inference(skolemize,[status(sab)],[47])).
% 0.20/0.55 tff(49,plain,
% 0.20/0.55 (~(Vdthex!0 = vd1419)),
% 0.20/0.55 inference(or_elim,[status(thm)],[48])).
% 0.20/0.55 tff(50,plain,
% 0.20/0.55 (ron(vd1409, Vdthex!0) & ron(vd1401, Vdthex!0) & rline(Vdthex!0)),
% 0.20/0.55 inference(or_elim,[status(thm)],[48])).
% 0.20/0.55 tff(51,plain,
% 0.20/0.55 (rline(Vdthex!0)),
% 0.20/0.55 inference(and_elim,[status(thm)],[50])).
% 0.20/0.55 tff(52,plain,
% 0.20/0.55 (ron(vd1401, Vdthex!0)),
% 0.20/0.55 inference(and_elim,[status(thm)],[50])).
% 0.20/0.55 tff(53,plain,
% 0.20/0.55 (ron(vd1409, Vdthex!0)),
% 0.20/0.55 inference(and_elim,[status(thm)],[50])).
% 0.20/0.55 tff(54,plain,
% 0.20/0.55 (((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | ((vd1409 = vd1401) | (Vdthex!0 = vd1419) | (~rline(Vdthex!0)) | (~ron(vd1401, Vdthex!0)) | (~rline(vd1419)) | (~ron(vd1401, vd1419)) | (~rpoint(vd1409)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~ron(vd1409, vd1419)))) <=> ((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | (vd1409 = vd1401) | (Vdthex!0 = vd1419) | (~rline(Vdthex!0)) | (~ron(vd1401, Vdthex!0)) | (~rline(vd1419)) | (~ron(vd1401, vd1419)) | (~rpoint(vd1409)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~ron(vd1409, vd1419)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(55,plain,
% 0.20/0.55 (((Vdthex!0 = vd1419) | (vd1409 = vd1401) | (~ron(vd1401, Vdthex!0)) | (~ron(vd1401, vd1419)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~rpoint(vd1409)) | (~rline(vd1419)) | (~ron(vd1409, vd1419)) | (~rline(Vdthex!0))) <=> ((vd1409 = vd1401) | (Vdthex!0 = vd1419) | (~rline(Vdthex!0)) | (~ron(vd1401, Vdthex!0)) | (~rline(vd1419)) | (~ron(vd1401, vd1419)) | (~rpoint(vd1409)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~ron(vd1409, vd1419)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(56,plain,
% 0.20/0.55 (((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | ((Vdthex!0 = vd1419) | (vd1409 = vd1401) | (~ron(vd1401, Vdthex!0)) | (~ron(vd1401, vd1419)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~rpoint(vd1409)) | (~rline(vd1419)) | (~ron(vd1409, vd1419)) | (~rline(Vdthex!0)))) <=> ((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | ((vd1409 = vd1401) | (Vdthex!0 = vd1419) | (~rline(Vdthex!0)) | (~ron(vd1401, Vdthex!0)) | (~rline(vd1419)) | (~ron(vd1401, vd1419)) | (~rpoint(vd1409)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~ron(vd1409, vd1419))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[55])).
% 0.20/0.56 tff(57,plain,
% 0.20/0.56 (((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | ((Vdthex!0 = vd1419) | (vd1409 = vd1401) | (~ron(vd1401, Vdthex!0)) | (~ron(vd1401, vd1419)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~rpoint(vd1409)) | (~rline(vd1419)) | (~ron(vd1409, vd1419)) | (~rline(Vdthex!0)))) <=> ((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | (vd1409 = vd1401) | (Vdthex!0 = vd1419) | (~rline(Vdthex!0)) | (~ron(vd1401, Vdthex!0)) | (~rline(vd1419)) | (~ron(vd1401, vd1419)) | (~rpoint(vd1409)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~ron(vd1409, vd1419)))),
% 0.20/0.56 inference(transitivity,[status(thm)],[56, 54])).
% 0.20/0.56 tff(58,plain,
% 0.20/0.56 ((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | ((Vdthex!0 = vd1419) | (vd1409 = vd1401) | (~ron(vd1401, Vdthex!0)) | (~ron(vd1401, vd1419)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~rpoint(vd1409)) | (~rline(vd1419)) | (~ron(vd1409, vd1419)) | (~rline(Vdthex!0)))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(59,plain,
% 0.20/0.56 ((~![Vd314: $i, Vd315: $i, Vd319: $i, Vd320: $i] : ((Vd319 = Vd320) | (Vd314 = Vd315) | (~ron(Vd315, Vd319)) | (~ron(Vd315, Vd320)) | (~ron(Vd314, Vd319)) | (~rpoint(Vd315)) | (~rpoint(Vd314)) | (~rline(Vd320)) | (~ron(Vd314, Vd320)) | (~rline(Vd319)))) | (vd1409 = vd1401) | (Vdthex!0 = vd1419) | (~rline(Vdthex!0)) | (~ron(vd1401, Vdthex!0)) | (~rline(vd1419)) | (~ron(vd1401, vd1419)) | (~rpoint(vd1409)) | (~ron(vd1409, Vdthex!0)) | (~rpoint(vd1401)) | (~ron(vd1409, vd1419))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.56 tff(60,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[59, 53, 52, 51, 49, 40, 37, 33, 29, 26, 23, 13])).
% 0.20/0.56 % SZS output end Proof
% 0.20/0.57 % E exiting
%------------------------------------------------------------------------------