%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN729+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:39:56 AM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN729+1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:41:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(p_type, type, (
% 0.12/0.38 p: $i > $o)).
% 0.12/0.38 tff(h_type, type, (
% 0.12/0.38 h: $i > $i)).
% 0.12/0.38 tff(tptp_fun_Y_0_type, type, (
% 0.12/0.38 tptp_fun_Y_0: $i > $i)).
% 0.12/0.38 tff(tptp_fun_X_1_type, type, (
% 0.12/0.38 tptp_fun_X_1: $i)).
% 0.12/0.38 tff(g_type, type, (
% 0.12/0.38 g: $i > $i)).
% 0.12/0.38 tff(l_type, type, (
% 0.12/0.38 l: ( $i * $i ) > $o)).
% 0.12/0.38 tff(1,plain,
% 0.12/0.38 ((p(X!1) & ![Y: $i] : (~(l(X!1, Y) & p(Y)))) <=> (p(X!1) & ![Y: $i] : (~(l(X!1, Y) & p(Y))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((~![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y)))) <=> (~![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 ((~((![X: $i] : ?[Y: $i] : (p(X) => (l(X, g(h(Y))) & p(Y))) & ![W: $i] : (p(W) => (p(g(W)) & p(h(W))))) => ![X: $i] : (p(X) => ?[Y: $i] : (l(X, Y) & p(Y))))) <=> (~((~(![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y))) & ![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W)))))) | ![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y)))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(4,axiom,(~((![X: $i] : ?[Y: $i] : (p(X) => (l(X, g(h(Y))) & p(Y))) & ![W: $i] : (p(W) => (p(g(W)) & p(h(W))))) => ![X: $i] : (p(X) => ?[Y: $i] : (l(X, Y) & p(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm72')).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (~((~(![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y))) & ![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W)))))) | ![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (~![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y)))),
% 0.12/0.38 inference(or_elim,[status(thm)],[5])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (~![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (~![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (~![X: $i] : ((~p(X)) | ?[Y: $i] : (l(X, Y) & p(Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[8, 2])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (p(X!1) & ![Y: $i] : (~(l(X!1, Y) & p(Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (p(X!1)),
% 0.12/0.38 inference(and_elim,[status(thm)],[10])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (^[X: $i] : refl(((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X)))))) <=> ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X)))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X)))))) <=> ![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[12])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (^[X: $i] : rewrite(((~p(X)) | (l(X, g(h(tptp_fun_Y_0(X)))) & p(tptp_fun_Y_0(X)))) <=> ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X)))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 (![X: $i] : ((~p(X)) | (l(X, g(h(tptp_fun_Y_0(X)))) & p(tptp_fun_Y_0(X)))) <=> ![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y))) <=> ![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 (![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y))) & ![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W))))),
% 0.12/0.38 inference(or_elim,[status(thm)],[5])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y)))),
% 0.12/0.38 inference(and_elim,[status(thm)],[17])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (![X: $i] : ?[Y: $i] : ((~p(X)) | (l(X, g(h(Y))) & p(Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[18, 16])).
% 0.12/0.38 tff(20,plain,(
% 0.12/0.38 ![X: $i] : ((~p(X)) | (l(X, g(h(tptp_fun_Y_0(X)))) & p(tptp_fun_Y_0(X))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[19])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[20, 15])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[21, 13])).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (((~![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))) | ((~p(X!1)) | (~((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1))))))) <=> ((~![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))) | (~p(X!1)) | (~((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 ((~![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))) | ((~p(X!1)) | (~((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 ((~![X: $i] : ((~p(X)) | (~((~l(X, g(h(tptp_fun_Y_0(X))))) | (~p(tptp_fun_Y_0(X))))))) | (~p(X!1)) | (~((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 (~((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[25, 22, 11])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1)))) | l(X!1, g(h(tptp_fun_Y_0(X!1))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (l(X!1, g(h(tptp_fun_Y_0(X!1))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 (^[Y: $i] : refl(((~p(Y)) | (~l(X!1, Y))) <=> ((~p(Y)) | (~l(X!1, Y))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 (![Y: $i] : ((~p(Y)) | (~l(X!1, Y))) <=> ![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[29])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (^[Y: $i] : trans(monotonicity(rewrite((l(X!1, Y) & p(Y)) <=> (~((~p(Y)) | (~l(X!1, Y))))), ((~(l(X!1, Y) & p(Y))) <=> (~(~((~p(Y)) | (~l(X!1, Y))))))), rewrite((~(~((~p(Y)) | (~l(X!1, Y))))) <=> ((~p(Y)) | (~l(X!1, Y)))), ((~(l(X!1, Y) & p(Y))) <=> ((~p(Y)) | (~l(X!1, Y)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 (![Y: $i] : (~(l(X!1, Y) & p(Y))) <=> ![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[31])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (![Y: $i] : (~(l(X!1, Y) & p(Y)))),
% 0.12/0.38 inference(and_elim,[status(thm)],[10])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 (![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 (((~![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))) | ((~p(g(h(tptp_fun_Y_0(X!1))))) | (~l(X!1, g(h(tptp_fun_Y_0(X!1))))))) <=> ((~![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))) | (~p(g(h(tptp_fun_Y_0(X!1))))) | (~l(X!1, g(h(tptp_fun_Y_0(X!1))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(37,plain,
% 0.12/0.38 ((~![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))) | ((~p(g(h(tptp_fun_Y_0(X!1))))) | (~l(X!1, g(h(tptp_fun_Y_0(X!1))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(38,plain,
% 0.12/0.38 ((~![Y: $i] : ((~p(Y)) | (~l(X!1, Y)))) | (~p(g(h(tptp_fun_Y_0(X!1))))) | (~l(X!1, g(h(tptp_fun_Y_0(X!1)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.12/0.38 tff(39,plain,
% 0.12/0.38 (~p(g(h(tptp_fun_Y_0(X!1))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[38, 35, 28])).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 (((~p(g(h(tptp_fun_Y_0(X!1))))) | (~p(h(h(tptp_fun_Y_0(X!1)))))) | p(g(h(tptp_fun_Y_0(X!1))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(41,plain,
% 0.12/0.38 ((~p(g(h(tptp_fun_Y_0(X!1))))) | (~p(h(h(tptp_fun_Y_0(X!1)))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.12/0.38 tff(42,plain,
% 0.12/0.38 (^[W: $i] : refl(((~p(W)) | (~((~p(g(W))) | (~p(h(W)))))) <=> ((~p(W)) | (~((~p(g(W))) | (~p(h(W)))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(43,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W)))))) <=> ![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[42])).
% 0.12/0.38 tff(44,plain,
% 0.12/0.38 (^[W: $i] : rewrite(((~p(W)) | (p(g(W)) & p(h(W)))) <=> ((~p(W)) | (~((~p(g(W))) | (~p(h(W)))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W)))) <=> ![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[44])).
% 0.12/0.38 tff(46,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W)))) <=> ![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(47,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W))))),
% 0.12/0.38 inference(and_elim,[status(thm)],[17])).
% 0.12/0.38 tff(48,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.38 tff(49,plain,(
% 0.12/0.38 ![W: $i] : ((~p(W)) | (p(g(W)) & p(h(W))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[48])).
% 0.12/0.38 tff(50,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.12/0.38 tff(51,plain,
% 0.12/0.38 (![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.12/0.38 tff(52,plain,
% 0.12/0.38 (((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | ((~p(h(tptp_fun_Y_0(X!1)))) | (~((~p(g(h(tptp_fun_Y_0(X!1))))) | (~p(h(h(tptp_fun_Y_0(X!1))))))))) <=> ((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | (~p(h(tptp_fun_Y_0(X!1)))) | (~((~p(g(h(tptp_fun_Y_0(X!1))))) | (~p(h(h(tptp_fun_Y_0(X!1))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(53,plain,
% 0.12/0.38 ((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | ((~p(h(tptp_fun_Y_0(X!1)))) | (~((~p(g(h(tptp_fun_Y_0(X!1))))) | (~p(h(h(tptp_fun_Y_0(X!1))))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(54,plain,
% 0.12/0.38 ((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | (~p(h(tptp_fun_Y_0(X!1)))) | (~((~p(g(h(tptp_fun_Y_0(X!1))))) | (~p(h(h(tptp_fun_Y_0(X!1)))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.12/0.38 tff(55,plain,
% 0.12/0.38 (~p(h(tptp_fun_Y_0(X!1)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[54, 51, 41])).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 (((~p(g(tptp_fun_Y_0(X!1)))) | (~p(h(tptp_fun_Y_0(X!1))))) | p(h(tptp_fun_Y_0(X!1)))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(57,plain,
% 0.12/0.38 ((~p(g(tptp_fun_Y_0(X!1)))) | (~p(h(tptp_fun_Y_0(X!1))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.12/0.38 tff(58,plain,
% 0.12/0.38 (((~l(X!1, g(h(tptp_fun_Y_0(X!1))))) | (~p(tptp_fun_Y_0(X!1)))) | p(tptp_fun_Y_0(X!1))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 (p(tptp_fun_Y_0(X!1))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[58, 26])).
% 0.12/0.38 tff(60,plain,
% 0.12/0.38 (((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | ((~p(tptp_fun_Y_0(X!1))) | (~((~p(g(tptp_fun_Y_0(X!1)))) | (~p(h(tptp_fun_Y_0(X!1)))))))) <=> ((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | (~p(tptp_fun_Y_0(X!1))) | (~((~p(g(tptp_fun_Y_0(X!1)))) | (~p(h(tptp_fun_Y_0(X!1)))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(61,plain,
% 0.12/0.38 ((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | ((~p(tptp_fun_Y_0(X!1))) | (~((~p(g(tptp_fun_Y_0(X!1)))) | (~p(h(tptp_fun_Y_0(X!1)))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(62,plain,
% 0.12/0.38 ((~![W: $i] : ((~p(W)) | (~((~p(g(W))) | (~p(h(W))))))) | (~p(tptp_fun_Y_0(X!1))) | (~((~p(g(tptp_fun_Y_0(X!1)))) | (~p(h(tptp_fun_Y_0(X!1))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[62, 51, 59, 57])).
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------