TSTP Solution File: KRS042+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS042+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 17:44:29 EDT 2022
% Result : Satisfiable 0.19s 0.50s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS042+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.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 Sep 1 09:20:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.50 % SZS status Satisfiable
% 0.19/0.50 % SZS output start Model
% 0.19/0.50 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.50 tptp_fun__i_val_0: $i)).
% 0.19/0.50 tff(i2003_11_14_17_16_10980_type, type, (
% 0.19/0.50 i2003_11_14_17_16_10980: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.50 tptp_fun__i_val_2: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.50 tptp_fun__i_val_1: $i)).
% 0.19/0.50 tff(cSatisfiable_type, type, (
% 0.19/0.50 cSatisfiable: $i > $o)).
% 0.19/0.50 tff(rrx2_type, type, (
% 0.19/0.50 rrx2: ( $i * $i ) > $o)).
% 0.19/0.50 tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.50 tptp_fun__i_val_3: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.50 tptp_fun__i_val_10: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.50 tptp_fun__i_val_9: $i)).
% 0.19/0.50 tff(rrx1a_type, type, (
% 0.19/0.50 rrx1a: ( $i * $i ) > $o)).
% 0.19/0.50 tff(cc1_type, type, (
% 0.19/0.50 cc1: $i > $o)).
% 0.19/0.50 tff(xsd_string_type, type, (
% 0.19/0.50 xsd_string: $i > $o)).
% 0.19/0.50 tff(rrx4_type, type, (
% 0.19/0.50 rrx4: ( $i * $i ) > $o)).
% 0.19/0.50 tff(cc2_type, type, (
% 0.19/0.50 cc2: $i > $o)).
% 0.19/0.50 tff(ca_Cx1xcomp_type, type, (
% 0.19/0.50 ca_Cx1xcomp: $i > $o)).
% 0.19/0.50 tff(cowlThing_type, type, (
% 0.19/0.50 cowlThing: $i > $o)).
% 0.19/0.50 tff(ca_Cx1_type, type, (
% 0.19/0.50 ca_Cx1: $i > $o)).
% 0.19/0.50 tff(ca_Ax2_type, type, (
% 0.19/0.50 ca_Ax2: $i > $o)).
% 0.19/0.50 tff(rrxa_type, type, (
% 0.19/0.50 rrxa: ( $i * $i ) > $o)).
% 0.19/0.50 tff(rrx3_type, type, (
% 0.19/0.50 rrx3: ( $i * $i ) > $o)).
% 0.19/0.50 tff(cowlNothing_type, type, (
% 0.19/0.50 cowlNothing: $i > $o)).
% 0.19/0.50 tff(rrx3a_type, type, (
% 0.19/0.50 rrx3a: ( $i * $i ) > $o)).
% 0.19/0.50 tff(xsd_integer_type, type, (
% 0.19/0.50 xsd_integer: $i > $o)).
% 0.19/0.50 tff(rrx1_type, type, (
% 0.19/0.50 rrx1: ( $i * $i ) > $o)).
% 0.19/0.50 tff(rrx4a_type, type, (
% 0.19/0.50 rrx4a: ( $i * $i ) > $o)).
% 0.19/0.50 tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.50 tptp_fun__i_val_7: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.50 tptp_fun__i_val_5: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.50 tptp_fun__i_val_6: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.50 tptp_fun__i_val_4: $i)).
% 0.19/0.50 tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.50 tptp_fun__i_val_8: $i)).
% 0.19/0.50 tff(ra_Px1_type, type, (
% 0.19/0.50 ra_Px1: ( $i * $i ) > $o)).
% 0.19/0.50 tff(rrx_type, type, (
% 0.19/0.50 rrx: ( $i * $i ) > $o)).
% 0.19/0.50 tff(rrx2a_type, type, (
% 0.19/0.50 rrx2a: ( $i * $i ) > $o)).
% 0.19/0.50 tff(formula1, axiom,
% 0.19/0.50 i2003_11_14_17_16_10980 = $i!val!0).
% 0.19/0.50 tff(formula2, axiom,
% 0.19/0.50 ![X0: $i] : (cSatisfiable(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2)))).
% 0.19/0.50 tff(formula3, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx2(X0, X1) <=> $false)).
% 0.19/0.50 tff(formula4, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx1a(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!9)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!1))))).
% 0.19/0.50 tff(formula5, axiom,
% 0.19/0.50 ![X0: $i] : (cc1(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!9)))).
% 0.19/0.50 tff(formula6, axiom,
% 0.19/0.50 ![X0: $i] : (xsd_string(X0) <=> $false)).
% 0.19/0.50 tff(formula7, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx4(X0, X1) <=> $false)).
% 0.19/0.50 tff(formula8, axiom,
% 0.19/0.50 ![X0: $i] : (cc2(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!10) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!2)))).
% 0.19/0.50 tff(formula9, axiom,
% 0.19/0.50 ![X0: $i] : (ca_Cx1xcomp(X0) <=> $false)).
% 0.19/0.50 tff(formula10, axiom,
% 0.19/0.50 ![X0: $i] : (cowlThing(X0) <=> $true)).
% 0.19/0.50 tff(formula11, axiom,
% 0.19/0.50 ![X0: $i] : (ca_Cx1(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2)))).
% 0.19/0.50 tff(formula12, axiom,
% 0.19/0.50 ![X0: $i] : (ca_Ax2(X0) <=> $false)).
% 0.19/0.50 tff(formula13, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrxa(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!9)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!2)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!1)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!10))))).
% 0.19/0.50 tff(formula14, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx3(X0, X1) <=> $false)).
% 0.19/0.50 tff(formula15, axiom,
% 0.19/0.50 ![X0: $i] : (cowlNothing(X0) <=> $false)).
% 0.19/0.50 tff(formula16, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx3a(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!9)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!1))))).
% 0.19/0.50 tff(formula17, axiom,
% 0.19/0.50 ![X0: $i] : (xsd_integer(X0) <=> $true)).
% 0.19/0.50 tff(formula18, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx1(X0, X1) <=> $false)).
% 0.19/0.50 tff(formula19, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (rrx4a(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!2)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!10))))).
% 0.19/0.50 tff(formula20, axiom,
% 0.19/0.50 ![X0: $i, X1: $i] : (ra_Px1(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5))))) = $i!val!8)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5))))) = $i!val!4)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5))))) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5))))) = $i!val!3)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5))))) = $i!val!6)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5))))) = $i!val!7))))).
% 0.19/0.51 tff(formula21, axiom,
% 0.19/0.51 ![X0: $i, X1: $i] : (rrx(X0, X1) <=> $false)).
% 0.19/0.51 tff(formula22, axiom,
% 0.19/0.51 ![X0: $i, X1: $i] : (rrx2a(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!2)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0))))) = $i!val!10))))).
% 0.19/0.51 % SZS output end Model
%------------------------------------------------------------------------------