TSTP Solution File: GRP125-4.004 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP125-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 : Fri Sep 16 22:26:04 EDT 2022
% Result : Satisfiable 0.21s 0.47s
% Output : Model 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP125-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Wed Aug 31 14:56:39 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.35 Usage: tptp [options] [-file:]file
% 0.20/0.35 -h, -? prints this message.
% 0.20/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.35 -m, -model generate model.
% 0.20/0.35 -p, -proof generate proof.
% 0.20/0.35 -c, -core generate unsat core of named formulas.
% 0.20/0.35 -st, -statistics display statistics.
% 0.20/0.35 -t:timeout set timeout (in second).
% 0.20/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.35 -<param>:<value> configuration parameter and value.
% 0.20/0.35 -o:<output-file> file to place output in.
% 0.21/0.47 % SZS status Satisfiable
% 0.21/0.47 % SZS output start Model
% 0.21/0.47 tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.47 tptp_fun__i_val_1: $i)).
% 0.21/0.47 tff(e_2_type, type, (
% 0.21/0.47 e_2: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.47 tptp_fun__i_val_2: $i)).
% 0.21/0.47 tff(e_3_type, type, (
% 0.21/0.47 e_3: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.47 tptp_fun__i_val_0: $i)).
% 0.21/0.47 tff(e_1_type, type, (
% 0.21/0.47 e_1: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.47 tptp_fun__i_val_3: $i)).
% 0.21/0.47 tff(e_4_type, type, (
% 0.21/0.47 e_4: $i)).
% 0.21/0.47 tff(group_element_type, type, (
% 0.21/0.47 group_element: $i > $o)).
% 0.21/0.47 tff(equalish_type, type, (
% 0.21/0.47 equalish: ( $i * $i ) > $o)).
% 0.21/0.47 tff(product_type, type, (
% 0.21/0.47 product: ( $i * $i * $i ) > $o)).
% 0.21/0.47 tff(formula1, axiom,
% 0.21/0.47 e_2 = $i!val!1).
% 0.21/0.47 tff(formula2, axiom,
% 0.21/0.47 e_3 = $i!val!2).
% 0.21/0.47 tff(formula3, axiom,
% 0.21/0.47 e_1 = $i!val!0).
% 0.21/0.47 tff(formula4, axiom,
% 0.21/0.47 e_4 = $i!val!3).
% 0.21/0.47 tff(formula5, axiom,
% 0.21/0.47 ![X0: $i] : (group_element(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0)))).
% 0.21/0.47 tff(formula6, axiom,
% 0.21/0.47 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> (((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2))))).
% 0.21/0.47 tff(formula7, axiom,
% 0.21/0.47 ![X0: $i, X1: $i, X2: $i] : (product(X0, X1, X2) <=> (((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!0)) | ((ite_t((X2 = $i!val!3), $i!val!3, ite_t((X2 = $i!val!0), $i!val!0, ite_t((X2 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!2) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1))) = $i!val!3))))).
% 0.21/0.48 % SZS output end Model
%------------------------------------------------------------------------------