TSTP Solution File: KRS130+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS130+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 Sep 17 17:44:53 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS130+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n010.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
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Thu Sep 1 09:28:58 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.18/0.34 Usage: tptp [options] [-file:]file
% 0.18/0.34 -h, -? prints this message.
% 0.18/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.18/0.34 -m, -model generate model.
% 0.18/0.34 -p, -proof generate proof.
% 0.18/0.34 -c, -core generate unsat core of named formulas.
% 0.18/0.34 -st, -statistics display statistics.
% 0.18/0.34 -t:timeout set timeout (in second).
% 0.18/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.18/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.18/0.34 -<param>:<value> configuration parameter and value.
% 0.18/0.34 -o:<output-file> file to place output in.
% 0.18/0.38 % SZS status Theorem
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 tff(rp_type, type, (
% 0.18/0.38 rp: ( $i * $i ) > $o)).
% 0.18/0.38 tff(tptp_fun_Y0_0_type, type, (
% 0.18/0.38 tptp_fun_Y0_0: $i > $i)).
% 0.18/0.38 tff(tptp_fun_X_1_type, type, (
% 0.18/0.38 tptp_fun_X_1: $i)).
% 0.18/0.38 tff(cNothing_type, type, (
% 0.18/0.38 cNothing: $i > $o)).
% 0.18/0.38 tff(cowlNothing_type, type, (
% 0.18/0.38 cowlNothing: $i > $o)).
% 0.18/0.38 tff(cowlThing_type, type, (
% 0.18/0.38 cowlThing: $i > $o)).
% 0.18/0.38 tff(xsd_integer_type, type, (
% 0.18/0.38 xsd_integer: $i > $o)).
% 0.18/0.38 tff(xsd_string_type, type, (
% 0.18/0.38 xsd_string: $i > $o)).
% 0.18/0.38 tff(1,plain,
% 0.18/0.38 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(2,plain,
% 0.18/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.18/0.38 tff(3,plain,
% 0.18/0.38 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(4,plain,
% 0.18/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[3])).
% 0.18/0.38 tff(5,plain,
% 0.18/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(6,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.18/0.38 tff(7,plain,
% 0.18/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.18/0.38 tff(8,plain,(
% 0.18/0.38 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.18/0.38 inference(skolemize,[status(sab)],[7])).
% 0.18/0.38 tff(9,plain,
% 0.18/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.18/0.38 tff(10,plain,
% 0.18/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.18/0.38 tff(11,plain,
% 0.18/0.38 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!1) | (~cowlThing(X!1))))),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(12,plain,
% 0.18/0.38 (~(cowlNothing(X!1) | (~cowlThing(X!1)))),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.18/0.38 tff(13,plain,
% 0.18/0.38 ((cowlNothing(X!1) | (~cowlThing(X!1))) | (~cowlNothing(X!1))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(14,plain,
% 0.18/0.38 (~cowlNothing(X!1)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.18/0.38 tff(15,plain,
% 0.18/0.38 ((~(cNothing(X!1) <=> cowlNothing(X!1))) <=> ((~cNothing(X!1)) <=> cowlNothing(X!1))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(16,plain,
% 0.18/0.38 ((~![X: $i] : (cNothing(X) <=> cowlNothing(X))) <=> (~![X: $i] : (cNothing(X) <=> cowlNothing(X)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(17,plain,
% 0.18/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))) <=> (~![X: $i] : (cNothing(X) <=> cowlNothing(X)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(18,plain,
% 0.18/0.38 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(19,plain,
% 0.18/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X))))),
% 0.18/0.38 inference(monotonicity,[status(thm)],[18])).
% 0.18/0.38 tff(20,plain,
% 0.18/0.38 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(21,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.18/0.38 tff(22,plain,
% 0.18/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.18/0.38 tff(23,plain,
% 0.18/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cNothing(X) <=> cowlNothing(X)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[22, 19])).
% 0.18/0.38 tff(24,plain,
% 0.18/0.38 (~![X: $i] : (cNothing(X) <=> cowlNothing(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[23, 17])).
% 0.18/0.38 tff(25,plain,
% 0.18/0.38 (~![X: $i] : (cNothing(X) <=> cowlNothing(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[24, 16])).
% 0.18/0.38 tff(26,plain,
% 0.18/0.38 (~![X: $i] : (cNothing(X) <=> cowlNothing(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[25, 16])).
% 0.18/0.38 tff(27,plain,
% 0.18/0.38 (~![X: $i] : (cNothing(X) <=> cowlNothing(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[26, 16])).
% 0.18/0.38 tff(28,plain,
% 0.18/0.38 (~![X: $i] : (cNothing(X) <=> cowlNothing(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[27, 16])).
% 0.18/0.38 tff(29,plain,
% 0.18/0.38 (~![X: $i] : (cNothing(X) <=> cowlNothing(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[28, 16])).
% 0.18/0.38 tff(30,plain,(
% 0.18/0.38 ~(cNothing(X!1) <=> cowlNothing(X!1))),
% 0.18/0.38 inference(skolemize,[status(sab)],[29])).
% 0.18/0.38 tff(31,plain,
% 0.18/0.38 ((~cNothing(X!1)) <=> cowlNothing(X!1)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[30, 15])).
% 0.18/0.38 tff(32,plain,
% 0.18/0.38 (cNothing(X!1) | cowlNothing(X!1) | (~((~cNothing(X!1)) <=> cowlNothing(X!1)))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(33,plain,
% 0.18/0.38 (cNothing(X!1) | cowlNothing(X!1)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.18/0.38 tff(34,plain,
% 0.18/0.38 (cNothing(X!1)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[33, 14])).
% 0.18/0.38 tff(35,plain,
% 0.18/0.38 (^[X: $i] : refl(((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X))) <=> ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(36,plain,
% 0.18/0.38 (![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X))) <=> ![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[35])).
% 0.18/0.38 tff(37,plain,
% 0.18/0.38 (![X: $i] : ((~cNothing(X)) | ?[Y0: $i] : rp(X, Y0)) <=> ![X: $i] : ((~cNothing(X)) | ?[Y0: $i] : rp(X, Y0))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(38,plain,
% 0.18/0.38 (^[X: $i] : rewrite((cNothing(X) => ?[Y0: $i] : rp(X, Y0)) <=> ((~cNothing(X)) | ?[Y0: $i] : rp(X, Y0)))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(39,plain,
% 0.18/0.38 (![X: $i] : (cNothing(X) => ?[Y0: $i] : rp(X, Y0)) <=> ![X: $i] : ((~cNothing(X)) | ?[Y0: $i] : rp(X, Y0))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[38])).
% 0.18/0.38 tff(40,axiom,(![X: $i] : (cNothing(X) => ?[Y0: $i] : rp(X, Y0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.18/0.38 tff(41,plain,
% 0.18/0.38 (![X: $i] : ((~cNothing(X)) | ?[Y0: $i] : rp(X, Y0))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.18/0.38 tff(42,plain,
% 0.18/0.38 (![X: $i] : ((~cNothing(X)) | ?[Y0: $i] : rp(X, Y0))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.18/0.38 tff(43,plain,(
% 0.18/0.38 ![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))),
% 0.18/0.38 inference(skolemize,[status(sab)],[42])).
% 0.18/0.38 tff(44,plain,
% 0.18/0.38 (![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.18/0.38 tff(45,plain,
% 0.18/0.38 (((~![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))) | ((~cNothing(X!1)) | rp(X!1, tptp_fun_Y0_0(X!1)))) <=> ((~![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))) | (~cNothing(X!1)) | rp(X!1, tptp_fun_Y0_0(X!1)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(46,plain,
% 0.18/0.38 ((~![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))) | ((~cNothing(X!1)) | rp(X!1, tptp_fun_Y0_0(X!1)))),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(47,plain,
% 0.18/0.38 ((~![X: $i] : ((~cNothing(X)) | rp(X, tptp_fun_Y0_0(X)))) | (~cNothing(X!1)) | rp(X!1, tptp_fun_Y0_0(X!1))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.18/0.38 tff(48,plain,
% 0.18/0.38 ((~cNothing(X!1)) | rp(X!1, tptp_fun_Y0_0(X!1))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[47, 44])).
% 0.18/0.39 tff(49,plain,
% 0.18/0.39 (rp(X!1, tptp_fun_Y0_0(X!1))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[48, 34])).
% 0.18/0.39 tff(50,plain,
% 0.18/0.39 (^[X: $i] : refl(((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))) <=> ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(51,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))) <=> ![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[50])).
% 0.18/0.39 tff(52,plain,
% 0.18/0.39 (^[X: $i] : rewrite(((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))) <=> ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(53,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))) <=> ![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[52])).
% 0.18/0.39 tff(54,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y))) <=> ![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))),
% 0.18/0.39 inference(transitivity,[status(thm)],[53, 51])).
% 0.18/0.39 tff(55,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y))) <=> ![X: $i] : ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(56,plain,
% 0.18/0.39 (^[X: $i] : trans(monotonicity(rewrite((~?[Y: $i] : rp(X, Y)) <=> (~?[Y: $i] : rp(X, Y))), ((cNothing(X) => (~?[Y: $i] : rp(X, Y))) <=> (cNothing(X) => (~?[Y: $i] : rp(X, Y))))), rewrite((cNothing(X) => (~?[Y: $i] : rp(X, Y))) <=> ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y)))), ((cNothing(X) => (~?[Y: $i] : rp(X, Y))) <=> ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(57,plain,
% 0.18/0.39 (![X: $i] : (cNothing(X) => (~?[Y: $i] : rp(X, Y))) <=> ![X: $i] : ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[56])).
% 0.18/0.39 tff(58,axiom,(![X: $i] : (cNothing(X) => (~?[Y: $i] : rp(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.18/0.39 tff(59,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.18/0.39 tff(60,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | (~?[Y: $i] : rp(X, Y)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.18/0.39 tff(61,plain,(
% 0.18/0.39 ![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))),
% 0.18/0.39 inference(skolemize,[status(sab)],[60])).
% 0.18/0.39 tff(62,plain,
% 0.18/0.39 (![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.18/0.39 tff(63,plain,
% 0.18/0.39 (((~![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))) | ((~cNothing(X!1)) | ![Y: $i] : (~rp(X!1, Y)))) <=> ((~![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))) | (~cNothing(X!1)) | ![Y: $i] : (~rp(X!1, Y)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(64,plain,
% 0.18/0.39 ((~![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))) | ((~cNothing(X!1)) | ![Y: $i] : (~rp(X!1, Y)))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(65,plain,
% 0.18/0.39 ((~![X: $i] : ((~cNothing(X)) | ![Y: $i] : (~rp(X, Y)))) | (~cNothing(X!1)) | ![Y: $i] : (~rp(X!1, Y))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.18/0.39 tff(66,plain,
% 0.18/0.39 ((~cNothing(X!1)) | ![Y: $i] : (~rp(X!1, Y))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[65, 62])).
% 0.18/0.39 tff(67,plain,
% 0.18/0.39 (![Y: $i] : (~rp(X!1, Y))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[66, 34])).
% 0.18/0.39 tff(68,plain,
% 0.18/0.39 ((~![Y: $i] : (~rp(X!1, Y))) | (~rp(X!1, tptp_fun_Y0_0(X!1)))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(69,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[68, 67, 49])).
% 0.18/0.39 % SZS output end Proof
%------------------------------------------------------------------------------