%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS170+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:13:31 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS170+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n002.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 : Thu Jun 19 19:13:31 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(rhasHead_type, type, (
% 0.12/0.37 rhasHead: ( $i * $i ) > $o)).
% 0.12/0.37 tff(tptp_fun_Y_4_type, type, (
% 0.12/0.37 tptp_fun_Y_4: $i)).
% 0.12/0.37 tff(tptp_fun_X_5_type, type, (
% 0.12/0.37 tptp_fun_X_5: $i)).
% 0.12/0.37 tff(rhasLeader_type, type, (
% 0.12/0.37 rhasLeader: ( $i * $i ) > $o)).
% 0.12/0.37 tff(cowlThing_type, type, (
% 0.12/0.37 cowlThing: $i > $o)).
% 0.12/0.37 tff(tptp_fun_X_0_type, type, (
% 0.12/0.37 tptp_fun_X_0: $i)).
% 0.12/0.37 tff(cowlNothing_type, type, (
% 0.12/0.37 cowlNothing: $i > $o)).
% 0.12/0.37 tff(tptp_fun_Y_2_type, type, (
% 0.12/0.37 tptp_fun_Y_2: $i)).
% 0.12/0.37 tff(tptp_fun_X_3_type, type, (
% 0.12/0.37 tptp_fun_X_3: $i)).
% 0.12/0.37 tff(xsd_string_type, type, (
% 0.12/0.37 xsd_string: $i > $o)).
% 0.12/0.37 tff(tptp_fun_X_1_type, type, (
% 0.12/0.37 tptp_fun_X_1: $i)).
% 0.12/0.37 tff(xsd_integer_type, type, (
% 0.12/0.37 xsd_integer: $i > $o)).
% 0.12/0.37 tff(1,assumption,(cowlNothing(X!0) | (~cowlThing(X!0))), introduced(assumption)).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[4])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.12/0.37 tff(9,plain,(
% 0.12/0.37 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[8])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.12/0.37 tff(14,plain,(~(cowlNothing(X!0) | (~cowlThing(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 ((cowlNothing(X!0) | (~cowlThing(X!0))) | cowlThing(X!0)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (cowlThing(X!0)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.12/0.37 tff(17,assumption,(~(rhasLeader(X!3, Y!2) <=> rhasHead(X!3, Y!2))), introduced(assumption)).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 (^[X: $i, Y: $i] : refl((rhasLeader(X, Y) <=> rhasHead(X, Y)) <=> (rhasLeader(X, Y) <=> rhasHead(X, Y)))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 (![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y)) <=> ![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[18])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 (![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y)) <=> ![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(21,axiom,(![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.12/0.37 tff(23,plain,(
% 0.12/0.37 ![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))),
% 0.12/0.37 inference(skolemize,[status(sab)],[22])).
% 0.12/0.37 tff(24,plain,
% 0.12/0.37 (![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.12/0.37 tff(25,plain,
% 0.12/0.37 ((~![X: $i, Y: $i] : (rhasLeader(X, Y) <=> rhasHead(X, Y))) | (rhasLeader(X!3, Y!2) <=> rhasHead(X!3, Y!2))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[25, 24, 17])).
% 0.12/0.37 tff(27,plain,(rhasLeader(X!3, Y!2) <=> rhasHead(X!3, Y!2)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(28,assumption,(~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))), introduced(assumption)).
% 0.12/0.37 tff(29,plain,
% 0.12/0.37 (((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2)) | rhasLeader(X!3, Y!2)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 (rhasLeader(X!3, Y!2)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.12/0.37 tff(31,plain,
% 0.12/0.37 (((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2)) | (~rhasHead(X!3, Y!2))),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(32,plain,
% 0.12/0.37 (~rhasHead(X!3, Y!2)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.12/0.37 tff(33,plain,
% 0.12/0.37 ((~(rhasLeader(X!3, Y!2) <=> rhasHead(X!3, Y!2))) | (~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[33, 32, 30, 27])).
% 0.12/0.37 tff(35,plain,((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(36,plain,
% 0.12/0.37 ((cowlNothing(X!0) | (~cowlThing(X!0))) | (~cowlNothing(X!0))),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(37,plain,
% 0.12/0.37 (~cowlNothing(X!0)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[36, 14])).
% 0.12/0.37 tff(38,assumption,(xsd_integer(X!1) <=> xsd_string(X!1)), introduced(assumption)).
% 0.12/0.37 tff(39,plain,
% 0.12/0.37 (^[X: $i] : refl((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(40,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[39])).
% 0.12/0.37 tff(41,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(42,plain,
% 0.12/0.37 (^[X: $i] : trans(rewrite((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), rewrite((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), ((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(43,plain,
% 0.12/0.37 (![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[42])).
% 0.12/0.37 tff(44,axiom,(![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_1')).
% 0.12/0.37 tff(45,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.12/0.37 tff(46,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.12/0.37 tff(47,plain,(
% 0.12/0.37 ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[46])).
% 0.12/0.37 tff(48,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.12/0.37 tff(49,plain,
% 0.12/0.37 ((~![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))) | (~(xsd_integer(X!1) <=> xsd_string(X!1)))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(50,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[49, 48, 38])).
% 0.12/0.37 tff(51,plain,(~(xsd_integer(X!1) <=> xsd_string(X!1))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(52,plain,
% 0.12/0.37 (((cowlNothing(X!0) | (~cowlThing(X!0))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4)))) <=> (cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4))) | (~cowlThing(X!0)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(53,plain,
% 0.12/0.37 ((~(~(cowlNothing(X!0) | (~cowlThing(X!0))))) <=> (cowlNothing(X!0) | (~cowlThing(X!0)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(54,plain,
% 0.12/0.37 ((cowlThing(X!0) & (~cowlNothing(X!0))) <=> (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(55,plain,
% 0.12/0.38 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (~(~(cowlNothing(X!0) | (~cowlThing(X!0)))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[54])).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (cowlNothing(X!0) | (~cowlThing(X!0)))),
% 0.12/0.38 inference(transitivity,[status(thm)],[55, 53])).
% 0.12/0.38 tff(57,plain,
% 0.12/0.38 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4)))) <=> ((cowlNothing(X!0) | (~cowlThing(X!0))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[56])).
% 0.12/0.38 tff(58,plain,
% 0.12/0.38 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4)))) <=> (cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4))) | (~cowlThing(X!0)))),
% 0.12/0.38 inference(transitivity,[status(thm)],[57, 52])).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4)))) <=> ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~((~rhasLeader(X!3, Y!2)) | rhasHead(X!3, Y!2))) | (~((~rhasHead(X!5, Y!4)) | rhasLeader(X!5, Y!4))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(60,plain,
% 0.12/0.38 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(61,plain,
% 0.12/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[60])).
% 0.12/0.38 tff(62,plain,
% 0.12/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 ((~(((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i, Y: $i] : (rhasLeader(X, Y) => rhasHead(X, Y))) & ![X: $i, Y: $i] : (rhasHead(X, Y) => rhasLeader(X, Y)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(64,axiom,(~(((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i, Y: $i] : (rhasLeader(X, Y) => rhasHead(X, Y))) & ![X: $i, Y: $i] : (rhasHead(X, Y) => rhasLeader(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.12/0.38 tff(65,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.38 tff(66,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.12/0.38 tff(67,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.12/0.38 tff(68,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i, Y: $i] : ((~rhasLeader(X, Y)) | rhasHead(X, Y)) & ![X: $i, Y: $i] : ((~rhasHead(X, Y)) | rhasLeader(X, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[67, 61])).
% 0.12/0.38 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.12/0.38 (a!2 (not (and (cowlThing X!0) (not (cowlNothing X!0)))))
% 0.12/0.38 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.12/0.38 (a!5 (forall ((X $i) (Y $i)) (or (not (rhasLeader X Y)) (rhasHead X Y))))
% 0.12/0.38 (a!6 (not (or (not (rhasLeader X!3 Y!2)) (rhasHead X!3 Y!2))))
% 0.12/0.38 (a!7 (forall ((X $i) (Y $i)) (or (not (rhasHead X Y)) (rhasLeader X Y))))
% 0.12/0.38 (a!8 (not (or (not (rhasHead X!5 Y!4)) (rhasLeader X!5 Y!4)))))
% 0.12/0.38 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!1) (xsd_string X!1)))))
% 0.12/0.38 (a!9 (~ (not (and a!1 a!3 a!5 a!7))
% 0.12/0.38 (or a!2 (= (xsd_integer X!1) (xsd_string X!1)) a!6 a!8))))
% 0.12/0.38 (nnf-neg (sk (~ (not a!1) a!2))
% 0.12/0.38 a!4
% 0.12/0.38 (sk (~ (not a!5) a!6))
% 0.12/0.38 (sk (~ (not a!7) a!8))
% 0.12/0.38 a!9)))
% 0.12/0.38 Proof display could not be completed: unexpected number of arguments
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------