TSTP Solution File: KRS134+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 17:44:55 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 09:51:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(rprop_type, type, (
% 0.19/0.39 rprop: ( $i * $i ) > $o)).
% 0.19/0.39 tff(tptp_fun_Y_1_type, type, (
% 0.19/0.39 tptp_fun_Y_1: $i)).
% 0.19/0.39 tff(tptp_fun_X_0_type, type, (
% 0.19/0.39 tptp_fun_X_0: $i)).
% 0.19/0.39 tff(cA_type, type, (
% 0.19/0.39 cA: $i > $o)).
% 0.19/0.39 tff(cowlThing_type, type, (
% 0.19/0.39 cowlThing: $i > $o)).
% 0.19/0.39 tff(xsd_integer_type, type, (
% 0.19/0.39 xsd_integer: $i > $o)).
% 0.19/0.39 tff(xsd_string_type, type, (
% 0.19/0.39 xsd_string: $i > $o)).
% 0.19/0.39 tff(cowlNothing_type, type, (
% 0.19/0.39 cowlNothing: $i > $o)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (((~(~cowlThing(X!0))) & (~(cA(Y!1) | (~rprop(X!0, Y!1))))) <=> (cowlThing(X!0) & (~(cA(Y!1) | (~rprop(X!0, Y!1)))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 ((~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))) <=> (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))) <=> (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[4])).
% 0.19/0.39 tff(6,plain,
% 0.19/0.39 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cowlThing(X) => ![Y: $i] : (rprop(X, Y) => cA(Y))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(7,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cowlThing(X) => ![Y: $i] : (rprop(X, Y) => cA(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y)))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[10, 2])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[11, 2])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.19/0.39 tff(14,plain,
% 0.19/0.39 (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[13, 2])).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (~![X: $i] : ((~cowlThing(X)) | ![Y: $i] : (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[14, 2])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 (cowlThing(X!0) & (~(cA(Y!1) | (~rprop(X!0, Y!1))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[15, 1])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.39 (~(cA(Y!1) | (~rprop(X!0, Y!1)))),
% 0.19/0.39 inference(and_elim,[status(thm)],[16])).
% 0.19/0.39 tff(18,plain,
% 0.19/0.39 (rprop(X!0, Y!1)),
% 0.19/0.39 inference(or_elim,[status(thm)],[17])).
% 0.19/0.39 tff(19,plain,
% 0.19/0.39 (~cA(Y!1)),
% 0.19/0.39 inference(or_elim,[status(thm)],[17])).
% 0.19/0.39 tff(20,plain,
% 0.19/0.39 (^[X: $i, Y: $i] : refl((cA(Y) | (~rprop(X, Y))) <=> (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(21,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y))) <=> ![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[20])).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y))) <=> ![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 (^[X: $i, Y: $i] : rewrite((rprop(X, Y) => cA(Y)) <=> (cA(Y) | (~rprop(X, Y))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(24,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (rprop(X, Y) => cA(Y)) <=> ![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[23])).
% 0.19/0.39 tff(25,axiom,(![X: $i, Y: $i] : (rprop(X, Y) => cA(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.19/0.39 tff(26,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.19/0.39 tff(27,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.19/0.39 tff(28,plain,(
% 0.19/0.39 ![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(skolemize,[status(sab)],[27])).
% 0.19/0.39 tff(29,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.19/0.39 tff(30,plain,
% 0.19/0.39 (((~![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))) | (cA(Y!1) | (~rprop(X!0, Y!1)))) <=> ((~![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))) | cA(Y!1) | (~rprop(X!0, Y!1)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(31,plain,
% 0.19/0.39 ((~![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))) | (cA(Y!1) | (~rprop(X!0, Y!1)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(32,plain,
% 0.19/0.39 ((~![X: $i, Y: $i] : (cA(Y) | (~rprop(X, Y)))) | cA(Y!1) | (~rprop(X!0, Y!1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.39 tff(33,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[32, 29, 19, 18])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------