TSTP Solution File: LCL645-10.001 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL645-10.001 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.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 : Sun Sep 18 04:56:59 EDT 2022
% Result : Satisfiable 0.12s 0.39s
% Output : Model 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL645-10.001 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n013.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 22:50:32 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.
% 0.12/0.39 % SZS status Satisfiable
% 0.12/0.39 % SZS output start Model
% 0.12/0.39 tff(tptp_fun__i_val_1_type, type, (
% 0.12/0.39 tptp_fun__i_val_1: $i)).
% 0.12/0.39 tff(sK1_main_Y_type, type, (
% 0.12/0.39 sK1_main_Y: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_6_type, type, (
% 0.12/0.39 tptp_fun__i_val_6: $i)).
% 0.12/0.39 tff(b_type, type, (
% 0.12/0.39 b: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_5_type, type, (
% 0.12/0.39 tptp_fun__i_val_5: $i)).
% 0.12/0.39 tff(a_type, type, (
% 0.12/0.39 a: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_2_type, type, (
% 0.12/0.39 tptp_fun__i_val_2: $i)).
% 0.12/0.39 tff(sK2_main_Y_type, type, (
% 0.12/0.39 sK2_main_Y: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_0_type, type, (
% 0.12/0.39 tptp_fun__i_val_0: $i)).
% 0.12/0.39 tff(sK3_main_X_type, type, (
% 0.12/0.39 sK3_main_X: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_3_type, type, (
% 0.12/0.39 tptp_fun__i_val_3: $i)).
% 0.12/0.39 tff(true_type, type, (
% 0.12/0.39 true: $i)).
% 0.12/0.39 tff(ifeq2_type, type, (
% 0.12/0.39 ifeq2: ( $i * $i * $i * $i ) > $i)).
% 0.12/0.39 tff(tptp_fun__i_val_4_type, type, (
% 0.12/0.39 tptp_fun__i_val_4: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_8_type, type, (
% 0.12/0.39 tptp_fun__i_val_8: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_9_type, type, (
% 0.12/0.39 tptp_fun__i_val_9: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_7_type, type, (
% 0.12/0.39 tptp_fun__i_val_7: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_10_type, type, (
% 0.12/0.39 tptp_fun__i_val_10: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_11_type, type, (
% 0.12/0.39 tptp_fun__i_val_11: $i)).
% 0.12/0.39 tff(r1_type, type, (
% 0.12/0.39 r1: ( $i * $i ) > $i)).
% 0.12/0.39 tff(p1_type, type, (
% 0.12/0.39 p1: $i > $i)).
% 0.12/0.39 tff(ifeq_type, type, (
% 0.12/0.39 ifeq: ( $i * $i * $i * $i ) > $i)).
% 0.12/0.39 tff(formula1, axiom,
% 0.12/0.39 sK1_main_Y = $i!val!1).
% 0.12/0.39 tff(formula2, axiom,
% 0.12/0.39 b = $i!val!6).
% 0.12/0.39 tff(formula3, axiom,
% 0.12/0.39 a = $i!val!5).
% 0.12/0.39 tff(formula4, axiom,
% 0.12/0.39 sK2_main_Y = $i!val!2).
% 0.12/0.39 tff(formula5, axiom,
% 0.12/0.39 sK3_main_X = $i!val!0).
% 0.12/0.39 tff(formula6, axiom,
% 0.12/0.39 true = $i!val!3).
% 0.12/0.39 tff(formula7, axiom,
% 0.12/0.39 ifeq2($i!val!8, $i!val!3, $i!val!4, $i!val!3) = $i!val!3).
% 0.12/0.39 tff(formula8, axiom,
% 0.12/0.39 ifeq2($i!val!9, $i!val!3, $i!val!4, $i!val!3) = $i!val!3).
% 0.12/0.39 tff(formula9, axiom,
% 0.12/0.39 ifeq2($i!val!10, $i!val!3, $i!val!7, $i!val!3) = $i!val!3).
% 0.12/0.39 tff(formula10, axiom,
% 0.12/0.39 ifeq2($i!val!11, $i!val!3, $i!val!7, $i!val!3) = $i!val!3).
% 0.12/0.39 tff(formula11, axiom,
% 0.12/0.39 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~((($i!val!8 = X0) & ($i!val!3 = X1) & ($i!val!4 = X2) & ($i!val!3 = X3)) | (($i!val!9 = X0) & ($i!val!3 = X1) & ($i!val!4 = X2) & ($i!val!3 = X3)) | (($i!val!10 = X0) & ($i!val!3 = X1) & ($i!val!7 = X2) & ($i!val!3 = X3)) | (($i!val!11 = X0) & ($i!val!3 = X1) & ($i!val!7 = X2) & ($i!val!3 = X3)))) => (ifeq2(X0, X1, X2, X3) = X1))).
% 0.12/0.39 tff(formula12, axiom,
% 0.12/0.39 ![X0: $i, X1: $i] : (r1(X0, X1) = ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1)), $i!val!11, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1)), $i!val!10, ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2)), $i!val!9, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2)), $i!val!8, ite_t(((X1 = $i!val!0) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2)), $i!val!3, ite_t(((X1 = $i!val!0) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1)), $i!val!3, $i!val!0)))))))).
% 0.12/0.39 tff(formula13, axiom,
% 0.12/0.39 ![X0: $i] : (p1(X0) = ite_t((ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1), $i!val!7, ite_t((ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2), $i!val!4, $i!val!0)))).
% 0.12/0.39 tff(formula14, axiom,
% 0.12/0.39 ifeq($i!val!4, $i!val!3, $i!val!5, $i!val!6) = $i!val!6).
% 0.12/0.39 tff(formula15, axiom,
% 0.12/0.39 ifeq($i!val!7, $i!val!3, $i!val!5, $i!val!6) = $i!val!6).
% 0.12/0.39 tff(formula16, axiom,
% 0.12/0.39 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~((($i!val!4 = X0) & ($i!val!3 = X1) & ($i!val!5 = X2) & ($i!val!6 = X3)) | (($i!val!7 = X0) & ($i!val!3 = X1) & ($i!val!5 = X2) & ($i!val!6 = X3)))) => (ifeq(X0, X1, X2, X3) = X1))).
% 0.12/0.39 % SZS output end Model
%------------------------------------------------------------------------------