TSTP Solution File: KLE076+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : KLE076+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n023.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  : 600s
% DateTime : Sun Jul 17 01:51:15 EDT 2022

% Result   : Theorem 2.32s 1.31s
% Output   : Proof 3.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : KLE076+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : ePrincess-casc -timeout=%d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jun 16 11:10:20 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.44/0.62          ____       _                          
% 0.44/0.62    ___  / __ \_____(_)___  ________  __________
% 0.44/0.62   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.44/0.62  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.44/0.62  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.44/0.62  
% 0.44/0.62  A Theorem Prover for First-Order Logic
% 0.44/0.62  (ePrincess v.1.0)
% 0.44/0.62  
% 0.44/0.62  (c) Philipp Rümmer, 2009-2015
% 0.44/0.62  (c) Peter Backeman, 2014-2015
% 0.44/0.62  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.44/0.62  Free software under GNU Lesser General Public License (LGPL).
% 0.44/0.62  Bug reports to peter@backeman.se
% 0.44/0.62  
% 0.44/0.62  For more information, visit http://user.uu.se/~petba168/breu/
% 0.44/0.62  
% 0.44/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.67  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.52/0.97  Prover 0: Preprocessing ...
% 2.05/1.23  Prover 0: Constructing countermodel ...
% 2.32/1.30  Prover 0: proved (633ms)
% 2.32/1.31  
% 2.32/1.31  No countermodel exists, formula is valid
% 2.32/1.31  % SZS status Theorem for theBenchmark
% 2.32/1.31  
% 2.32/1.31  Generating proof ... found it (size 7)
% 3.10/1.53  
% 3.10/1.53  % SZS output start Proof for theBenchmark
% 3.10/1.53  Assumed formulas after preprocessing and simplification: 
% 3.10/1.53  | (0)  ? [v0] :  ? [v1] :  ? [v2] : ( ~ (v2 = zero) & domain(v1) = v2 & domain(zero) = zero & multiplication(v0, zero) = v1 &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (multiplication(v4, v5) = v7) |  ~ (multiplication(v3, v5) = v6) |  ~ (addition(v6, v7) = v8) |  ? [v9] : (multiplication(v9, v5) = v8 & addition(v3, v4) = v9)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (multiplication(v3, v5) = v7) |  ~ (multiplication(v3, v4) = v6) |  ~ (addition(v6, v7) = v8) |  ? [v9] : (multiplication(v3, v9) = v8 & addition(v4, v5) = v9)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (domain(v4) = v6) |  ~ (domain(v3) = v5) |  ~ (addition(v5, v6) = v7) |  ? [v8] : (domain(v8) = v7 & addition(v3, v4) = v8)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (multiplication(v6, v5) = v7) |  ~ (multiplication(v3, v4) = v6) |  ? [v8] : (multiplication(v4, v5) = v8 & multiplication(v3, v8) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (multiplication(v6, v5) = v7) |  ~ (addition(v3, v4) = v6) |  ? [v8] :  ? [v9] : (multiplication(v4, v5) = v9 & multiplication(v3, v5) = v8 & addition(v8, v9) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (multiplication(v4, v5) = v6) |  ~ (multiplication(v3, v6) = v7) |  ? [v8] : (multiplication(v8, v5) = v7 & multiplication(v3, v4) = v8)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (multiplication(v3, v6) = v7) |  ~ (addition(v4, v5) = v6) |  ? [v8] :  ? [v9] : (multiplication(v3, v5) = v9 & multiplication(v3, v4) = v8 & addition(v8, v9) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (addition(v6, v3) = v7) |  ~ (addition(v5, v4) = v6) |  ? [v8] : (addition(v5, v8) = v7 & addition(v4, v3) = v8)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (addition(v5, v6) = v7) |  ~ (addition(v4, v3) = v6) |  ? [v8] : (addition(v8, v3) = v7 & addition(v5, v4) = v8)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v5 |  ~ (domain(v3) = v4) |  ~ (multiplication(v4, v3) = v5) |  ~ (addition(v3, v5) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (multiplication(v6, v5) = v4) |  ~ (multiplication(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (addition(v6, v5) = v4) |  ~ (addition(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (domain(v4) = v5) |  ~ (multiplication(v3, v5) = v6) |  ? [v7] :  ? [v8] : (domain(v7) = v8 & domain(v6) = v8 & multiplication(v3, v4) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (addition(v3, v4) = v5) |  ~ leq(v3, v4)) &  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v3 |  ~ (domain(v5) = v4) |  ~ (domain(v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (domain(v3) = v4) |  ~ (multiplication(v4, v3) = v5) | addition(v3, v5) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : (domain(v8) = v6 & domain(v5) = v6 & domain(v4) = v7 & multiplication(v3, v7) = v8)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (addition(v4, v3) = v5) | addition(v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (addition(v3, v4) = v5) | addition(v4, v3) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (addition(v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : (domain(v5) = v6 & domain(v4) = v8 & domain(v3) = v7 & addition(v7, v8) = v6)) &  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (multiplication(v3, one) = v4)) &  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (multiplication(one, v3) = v4)) &  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (addition(v3, v3) = v4)) &  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (addition(v3, zero) = v4)) &  ! [v3] :  ! [v4] : (v4 = zero |  ~ (multiplication(v3, zero) = v4)) &  ! [v3] :  ! [v4] : (v4 = zero |  ~ (multiplication(zero, v3) = v4)) &  ! [v3] :  ! [v4] : ( ~ (domain(v3) = v4) | addition(v4, one) = one) &  ! [v3] :  ! [v4] : ( ~ (addition(v3, v4) = v4) | leq(v3, v4)))
% 3.50/1.58  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 3.50/1.58  | (1)  ~ (all_0_0_0 = zero) & domain(all_0_1_1) = all_0_0_0 & domain(zero) = zero & multiplication(all_0_2_2, zero) = all_0_1_1 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v1, v2) = v4) |  ~ (multiplication(v0, v2) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v0, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (domain(v1) = v3) |  ~ (domain(v0) = v2) |  ~ (addition(v2, v3) = v4) |  ? [v5] : (domain(v5) = v4 & addition(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (addition(v0, v1) = v3) |  ? [v5] :  ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v1, v2) = v3) |  ~ (multiplication(v0, v3) = v4) |  ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v3) = v4) |  ~ (addition(v1, v2) = v3) |  ? [v5] :  ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v3, v0) = v4) |  ~ (addition(v2, v1) = v3) |  ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v2, v3) = v4) |  ~ (addition(v1, v0) = v3) |  ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (domain(v0) = v1) |  ~ (multiplication(v1, v0) = v2) |  ~ (addition(v0, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (multiplication(v3, v2) = v1) |  ~ (multiplication(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (addition(v3, v2) = v1) |  ~ (addition(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (domain(v1) = v2) |  ~ (multiplication(v0, v2) = v3) |  ? [v4] :  ? [v5] : (domain(v4) = v5 & domain(v3) = v5 & multiplication(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (addition(v0, v1) = v2) |  ~ leq(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (domain(v2) = v1) |  ~ (domain(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (domain(v0) = v1) |  ~ (multiplication(v1, v0) = v2) | addition(v0, v2) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (multiplication(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (domain(v5) = v3 & domain(v2) = v3 & domain(v1) = v4 & multiplication(v0, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (domain(v2) = v3 & domain(v1) = v5 & domain(v0) = v4 & addition(v4, v5) = v3)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(v0, one) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(one, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, zero) = v1)) &  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(v0, zero) = v1)) &  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(zero, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (domain(v0) = v1) | addition(v1, one) = one) &  ! [v0] :  ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1))
% 3.50/1.59  |
% 3.50/1.59  | Applying alpha-rule on (1) yields:
% 3.50/1.59  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (multiplication(v3, v2) = v1) |  ~ (multiplication(v3, v2) = v0))
% 3.50/1.59  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v3) = v4) |  ~ (addition(v1, v2) = v3) |  ? [v5] :  ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4))
% 3.50/1.59  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v3, v0) = v4) |  ~ (addition(v2, v1) = v3) |  ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 3.50/1.59  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (multiplication(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (domain(v5) = v3 & domain(v2) = v3 & domain(v1) = v4 & multiplication(v0, v4) = v5))
% 3.50/1.59  | (6)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, v0) = v1))
% 3.50/1.59  | (7)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, zero) = v1))
% 3.50/1.59  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (domain(v1) = v2) |  ~ (multiplication(v0, v2) = v3) |  ? [v4] :  ? [v5] : (domain(v4) = v5 & domain(v3) = v5 & multiplication(v0, v1) = v4))
% 3.50/1.59  | (9)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (domain(v2) = v1) |  ~ (domain(v2) = v0))
% 3.50/1.59  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (addition(v0, v1) = v3) |  ? [v5] :  ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4))
% 3.50/1.59  | (11)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (addition(v0, v1) = v2) |  ~ leq(v0, v1))
% 3.50/1.59  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (addition(v3, v2) = v1) |  ~ (addition(v3, v2) = v0))
% 3.50/1.59  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v1, v2) = v4) |  ~ (multiplication(v0, v2) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6))
% 3.50/1.59  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 3.50/1.59  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (domain(v0) = v1) |  ~ (multiplication(v1, v0) = v2) |  ~ (addition(v0, v2) = v3))
% 3.50/1.59  | (16) domain(all_0_1_1) = all_0_0_0
% 3.50/1.59  | (17)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (domain(v2) = v3 & domain(v1) = v5 & domain(v0) = v4 & addition(v4, v5) = v3))
% 3.50/1.59  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v0, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6))
% 3.50/1.59  | (19)  ! [v0] :  ! [v1] : ( ~ (domain(v0) = v1) | addition(v1, one) = one)
% 3.50/1.60  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v2, v3) = v4) |  ~ (addition(v1, v0) = v3) |  ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 3.50/1.60  | (21)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(v0, one) = v1))
% 3.50/1.60  | (22)  ! [v0] :  ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1))
% 3.50/1.60  | (23) domain(zero) = zero
% 3.50/1.60  | (24) multiplication(all_0_2_2, zero) = all_0_1_1
% 3.50/1.60  | (25)  ~ (all_0_0_0 = zero)
% 3.50/1.60  | (26)  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(v0, zero) = v1))
% 3.50/1.60  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (domain(v1) = v3) |  ~ (domain(v0) = v2) |  ~ (addition(v2, v3) = v4) |  ? [v5] : (domain(v5) = v4 & addition(v0, v1) = v5))
% 3.50/1.60  | (28)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 3.50/1.60  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 3.50/1.60  | (30)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (domain(v0) = v1) |  ~ (multiplication(v1, v0) = v2) | addition(v0, v2) = v2)
% 3.50/1.60  | (31)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(one, v0) = v1))
% 3.50/1.60  | (32)  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(zero, v0) = v1))
% 3.50/1.60  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v1, v2) = v3) |  ~ (multiplication(v0, v3) = v4) |  ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 3.50/1.60  |
% 3.50/1.60  | Instantiating formula (26) with all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_0_1_1, yields:
% 3.50/1.60  | (34) all_0_1_1 = zero
% 3.50/1.60  |
% 3.50/1.60  | From (34) and (16) follows:
% 3.50/1.60  | (35) domain(zero) = all_0_0_0
% 3.50/1.60  |
% 3.50/1.60  | Instantiating formula (9) with zero, all_0_0_0, zero and discharging atoms domain(zero) = all_0_0_0, domain(zero) = zero, yields:
% 3.50/1.60  | (36) all_0_0_0 = zero
% 3.50/1.60  |
% 3.50/1.60  | Equations (36) can reduce 25 to:
% 3.50/1.60  | (37) $false
% 3.50/1.60  |
% 3.50/1.60  |-The branch is then unsatisfiable
% 3.50/1.60  % SZS output end Proof for theBenchmark
% 3.50/1.60  
% 3.50/1.60  974ms
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